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10034103222 = 232111317229309
BaseRepresentation
bin10010101100001010…
…00100001110110110
3221220021221020221200
421112011010032312
5131022212300342
64335401353330
7503440320153
oct112605041666
927807836850
1010034103222
114289a982a0
121b40498846
13c3ba9acb0
146b28bd22a
153dad9794c
hex2561443b6

10034103222 has 96 divisors (see below), whose sum is σ = 27043904160. Its totient is φ = 2641628160.

The previous prime is 10034103221. The next prime is 10034103229. The reversal of 10034103222 is 22230143001.

10034103222 is a `hidden beast` number, since 1 + 0 + 0 + 341 + 0 + 322 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10034103195 and 10034103204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034103221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70897 + ... + 158412.

It is an arithmetic number, because the mean of its divisors is an integer number (281707335).

Almost surely, 210034103222 is an apocalyptic number.

10034103222 is an abundant number, since it is smaller than the sum of its proper divisors (17009800938).

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

10034103222 is a wasteful number, since it uses less digits than its factorization.

10034103222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229358 (or 229355 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10034103222 its reverse (22230143001), we get a palindrome (32264246223).

The spelling of 10034103222 in words is "ten billion, thirty-four million, one hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 117 143 153 187 198 221 234 286 306 374 429 442 561 663 858 1122 1287 1326 1683 1989 2431 2574 3366 3978 4862 7293 14586 21879 43758 229309 458618 687927 1375854 2063781 2522399 2981017 3898253 4127562 5044798 5962034 7567197 7796506 8943051 11694759 15134394 17886102 22701591 23389518 26829153 32791187 35084277 42880783 45403182 50677289 53658306 65582374 70168554 85761566 98373561 101354578 128642349 152031867 196747122 257284698 295120683 304063734 385927047 456095601 557450179 590241366 771854094 912191202 1114900358 1672350537 3344701074 5017051611 10034103222