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10212034101102 = 2332111387964577
BaseRepresentation
bin1001010010011010110010…
…1010100011111101101110
31100011021001012210121121000
42110212230222203331232
52314303221212213402
633415202123421130
72102536503434211
oct224465452437556
940137035717530
1010212034101102
113287999028519
12118b1b16847a6
13590cb56bba82
1427439d587778
1512a989b21c1c
hex949acaa3f6e

10212034101102 has 64 divisors (see below), whose sum is σ = 22802956761600. Its totient is φ = 3387582051840.

The previous prime is 10212034101091. The next prime is 10212034101107. The reversal of 10212034101102 is 20110143021201.

10212034101102 is a `hidden beast` number, since 1 + 0 + 212 + 0 + 341 + 0 + 110 + 2 = 666.

It is a super-2 number, since 2×102120341011022 (a number of 27 digits) contains 22 as substring.

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 (10212034101107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158105038 + ... + 158169614.

It is an arithmetic number, because the mean of its divisors is an integer number (356296199400).

Almost surely, 210212034101102 is an apocalyptic number.

10212034101102 is an abundant number, since it is smaller than the sum of its proper divisors (12590922660498).

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

10212034101102 is a wasteful number, since it uses less digits than its factorization.

10212034101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78678 (or 78672 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10212034101102 its reverse (20110143021201), we get a palindrome (30322177122303).

The spelling of 10212034101102 in words is "ten trillion, two hundred twelve billion, thirty-four million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 211 422 633 1266 1899 3798 5697 11394 13879 27758 41637 64577 83274 124911 129154 193731 249822 374733 387462 581193 749466 1162386 1743579 2928469 3487158 5856938 8785407 13625747 17570814 26356221 27251494 40877241 52712442 79068663 81754482 122631723 158137326 245263446 367895169 735790338 896264183 1792528366 2688792549 5377585098 8066377647 16132755294 24199132941 48398265882 189111742613 378223485226 567335227839 1134670455678 1702005683517 3404011367034 5106017050551 10212034101102