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102001011222 = 23114188342689
BaseRepresentation
bin101111011111110111…
…0111110101000010110
3100202021121220020121110
41132333232332220112
53132344224324342
6114505243355450
710240452201315
oct1367756765026
9322247806543
10102001011222
113a292a03490
1217927b22b86
13980724c156
144d18b0027c
1529bec4bc9c
hex17bfbbea16

102001011222 has 64 divisors (see below), whose sum is σ = 228239182080. Its totient is φ = 30120652800.

The previous prime is 102001011209. The next prime is 102001011289. The reversal of 102001011222 is 222110100201.

102001011222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102001011198 and 102001011207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2368054 + ... + 2410742.

It is an arithmetic number, because the mean of its divisors is an integer number (3566237220).

Almost surely, 2102001011222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114119591040).

102001011222 is an abundant number, since it is smaller than the sum of its proper divisors (126238170858).

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

102001011222 is a wasteful number, since it uses less digits than its factorization.

102001011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43629.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102001011222 its reverse (222110100201), we get a palindrome (324111111423).

The spelling of 102001011222 in words is "one hundred two billion, one million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 883 902 1353 1766 2649 2706 5298 9713 19426 29139 36203 42689 58278 72406 85378 108609 128067 217218 256134 398233 469579 796466 939158 1194699 1408737 1750249 2389398 2817474 3500498 5250747 10501494 19252739 37694387 38505478 57758217 75388774 113083161 115516434 226166322 414638257 829276514 1243914771 1545469867 2487829542 3090939734 4636409601 9272819202 17000168537 34000337074 51000505611 102001011222