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20122221210102 = 23311531993211889
BaseRepresentation
bin1001001001101000100011…
…10110001110100111110110
32122020122222012020021121000
410210310101312032213312
510114140302112210402
6110444004254504130
74144532254122324
oct444642166164766
978218865207530
1020122221210102
116458871319190
12230b9a3205046
13b2c6957178bb
144d7cc65a2d14
1524d659d47c1c
hex124d11d8e9f6

20122221210102 has 128 divisors (see below), whose sum is σ = 49951313280000. Its totient is φ = 5952527792640.

The previous prime is 20122221210067. The next prime is 20122221210107. The reversal of 20122221210102 is 20101212222102.

It is a happy number.

20122221210102 is a `hidden beast` number, since 201 + 22 + 221 + 210 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122221210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4658974 + ... + 7870862.

It is an arithmetic number, because the mean of its divisors is an integer number (390244635000).

Almost surely, 220122221210102 is an apocalyptic number.

20122221210102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122221210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24975656640000).

20122221210102 is an abundant number, since it is smaller than the sum of its proper divisors (29829092069898).

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

20122221210102 is a wasteful number, since it uses less digits than its factorization.

20122221210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212163 (or 3212157 counting only the distinct ones).

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

Adding to 20122221210102 its reverse (20101212222102), we get a palindrome (40223433432204).

The spelling of 20122221210102 in words is "twenty trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 199 297 318 398 477 583 594 597 954 1166 1194 1431 1749 1791 2189 2862 3498 3582 4378 5247 5373 6567 10494 10547 10746 13134 15741 19701 21094 31482 31641 39402 59103 63282 94923 116017 118206 189846 232034 284769 348051 569538 696102 1044153 2088306 3132459 3211889 6264918 6423778 9635667 19271334 28907001 35330779 57814002 70661558 86721003 105992337 170230117 173442006 211984674 317977011 340460234 510690351 635954022 639165911 953931033 1021380702 1278331822 1532071053 1872531287 1907862066 1917497733 3064142106 3745062574 3834995466 4596213159 5617593861 5752493199 7030825021 9192426318 11235187722 11504986398 14061650042 16852781583 17257479597 21092475063 33705563166 33875793283 34514959194 42184950126 50558344749 63277425189 67751586566 101116689498 101627379849 126554850378 189832275567 203254759698 304882139547 372633726113 379664551134 609764279094 745267452226 914646418641 1117901178339 1829292837282 2235802356678 3353703535017 6707407070034 10061110605051 20122221210102