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10200012221022 = 23135317319373897
BaseRepresentation
bin1001010001101110000000…
…0110101110101001011110
31100010010000101111211102020
42110123200012232221132
52314104111112033042
633405453153041010
72101632545231151
oct224334006565136
940103011454366
1010200012221022
113282889a92038
1211889b7556166
1358cb1ab66170
1427397cab1c98
1512a4d44cd3ec
hex946e01aea5e

10200012221022 has 128 divisors (see below), whose sum is σ = 22630112055936. Its totient is φ = 3045546196992.

The previous prime is 10200012220913. The next prime is 10200012221051. The reversal of 10200012221022 is 22012221000201.

It is a junction number, because it is equal to n+sod(n) for n = 10200012220992 and 10200012221010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137993178 + ... + 138067074.

It is an arithmetic number, because the mean of its divisors is an integer number (176797750437).

Almost surely, 210200012221022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200012221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11315056027968).

10200012221022 is an abundant number, since it is smaller than the sum of its proper divisors (12430099834914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10200012221022 is a wasteful number, since it uses less digits than its factorization.

10200012221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74334.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10200012221022 its reverse (22012221000201), we get a palindrome (32212233221223).

The spelling of 10200012221022 in words is "ten trillion, two hundred billion, twelve million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 173 193 318 346 386 519 579 689 1038 1158 1378 2067 2249 2509 4134 4498 5018 6747 7527 9169 10229 13494 15054 18338 20458 27507 30687 33389 55014 61374 66778 73897 100167 119197 132977 147794 200334 221691 238394 265954 357591 398931 434057 443382 715182 797862 868114 960661 1302171 1769617 1921322 2604342 2881983 3539234 3916541 5308851 5763966 7833082 10617702 11749623 12784181 14262121 23005021 23499246 25568362 28524242 38352543 42786363 46010042 50915033 69015063 76705086 85572726 101830066 138030126 152745099 166194353 185407573 305490198 332388706 370815146 498583059 556222719 677561593 755892413 997166118 1112445438 1355123186 1511784826 2032684779 2267677239 2467346933 4065369558 4535354478 4934693866 7402040799 8808300709 9826601369 14804081598 17616601418 19653202738 26424902127 29479804107 32075510129 52849804254 58959608214 64151020258 96226530387 130769387449 192453060774 261538774898 392308162347 784616324694 1700002036837 3400004073674 5100006110511 10200012221022