Search a number
-
+
210012022210221 = 347111491531147607
BaseRepresentation
bin101111110000000100111011…
…111110110111111010101101
31000112120221201220202212110000
4233300010323332313322231
5210011314110141211341
62022354105140134513
762143603455041520
oct5760047376677255
91015527656685400
10210012022210221
1160a096645988a0
121b6798a1397439
13902508305735a
1439c08c96b2bb7
151942d6468d8b6
hexbf013bfb7ead

210012022210221 has 160 divisors (see below), whose sum is σ = 394018418534400. Its totient is φ = 108293444553600.

The previous prime is 210012022210217. The next prime is 210012022210229. The reversal of 210012022210221 is 122012220210012.

It is a happy number.

210012022210221 is a `hidden beast` number, since 2 + 100 + 120 + 2 + 221 + 0 + 221 = 666.

It is not a de Polignac number, because 210012022210221 - 22 = 210012022210217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210012022210194 and 210012022210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210012022210229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1422704400 + ... + 1422852006.

It is an arithmetic number, because the mean of its divisors is an integer number (2462615115840).

Almost surely, 2210012022210221 is an apocalyptic number.

210012022210221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210012022210221 is a deficient number, since it is larger than the sum of its proper divisors (184006396324179).

210012022210221 is a wasteful number, since it uses less digits than its factorization.

210012022210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149317 (or 149308 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210012022210221 its reverse (122012220210012), we get a palindrome (332024242420233).

The spelling of 210012022210221 in words is "two hundred ten trillion, twelve billion, twenty-two million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 149 189 231 297 447 567 693 891 1043 1341 1531 1639 2079 3129 4023 4593 4917 6237 9387 10717 11473 12069 13779 14751 16841 28161 32151 34419 41337 44253 50523 84483 96453 103257 117887 124011 132759 147607 151569 228119 289359 309771 353661 442821 454707 684357 868077 929313 1033249 1060983 1328463 1364121 1596833 1623677 2053071 2509309 3099747 3182949 3985389 4790499 4871031 6159213 7527927 9299241 9548847 11365739 11956167 14371497 14613093 17565163 18477639 21993443 22583781 27897723 34097217 43114491 43839279 52695489 65980329 67751343 83693169 102291651 129343473 131517837 153954101 158086467 197940987 203254029 225986317 241927873 306874953 461862303 474259401 593822961 677958951 725783619 920624859 1385586909 1422778203 1581904219 1693495111 1781468883 2033876853 2177350857 2485849487 4156760727 4745712657 5080485333 6101630559 6532052571 7457548461 12470282181 14237137971 15241455999 17400946409 18304891677 19596157713 22372645383 33671961233 42711413913 45724367997 52202839227 67117936149 101015883699 128134241739 137173103991 156608517681 201353808447 235703728631 303047651097 370391573563 469825553043 707111185893 909142953291 1111174720689 1409476659129 2121333557679 2592741014941 2727428859873 3333524162067 6364000673037 7778223044823 10000572486201 19092002019111 23334669134469 30001717458603 70004007403407 210012022210221