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10122222102102 = 2321175836741703
BaseRepresentation
bin1001001101001100001101…
…1100111110011001010110
31022211200020001200100100200
42103103003130332121112
52311320302324231402
633310030140521330
72063210046151425
oct223230334763126
938750201610320
1010122222102102
1132528a0544360
121175907850246
135856a18123b6
1426dcbd6272bc
1512848002e21c
hex934c373e656

10122222102102 has 48 divisors (see below), whose sum is σ = 23928410907648. Its totient is φ = 3066935073840.

The previous prime is 10122222102071. The next prime is 10122222102103. The reversal of 10122222102102 is 20120122222101.

It is a happy number.

10122222102102 is a `hidden beast` number, since 10 + 1 + 222 + 221 + 0 + 210 + 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 (10122222102103) 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 23 ways as a sum of consecutive naturals, for example, 1869418 + ... + 4872285.

It is an arithmetic number, because the mean of its divisors is an integer number (498508560576).

Almost surely, 210122222102102 is an apocalyptic number.

10122222102102 is an abundant number, since it is smaller than the sum of its proper divisors (13806188805546).

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

10122222102102 is a wasteful number, since it uses less digits than its factorization.

10122222102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749305 (or 6749302 counting only the distinct ones).

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

Adding to 10122222102102 its reverse (20120122222101), we get a palindrome (30242344324203).

The spelling of 10122222102102 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 7583 15166 22749 45498 68247 83413 136494 166826 250239 500478 750717 1501434 6741703 13483406 20225109 40450218 60675327 74158733 121350654 148317466 222476199 444952398 667428597 1334857194 51122333849 102244667698 153367001547 306734003094 460101004641 562345672339 920202009282 1124691344678 1687037017017 3374074034034 5061111051051 10122222102102