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102221211012210 = 2345532381113697
BaseRepresentation
bin10111001111100000111010…
…111110001000110001110010
3111101221020210221201010110000
4113033200322332020301302
5101344243020004342320
61001223435343250430
730350144621213133
oct2717407276106162
9441836727633400
10102221211012210
112a630854795614
12b56b1a48a9a16
13450655a252a84
141b35766823c8a
15bc401ce50c90
hex5cf83af88c72

102221211012210 has 80 divisors (see below), whose sum is σ = 280047544249176. Its totient is φ = 26744669033472.

The previous prime is 102221211012191. The next prime is 102221211012311. The reversal of 102221211012210 is 12210112122201.

102221211012210 is a `hidden beast` number, since 1 + 0 + 222 + 121 + 101 + 221 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92130683931729 + 10090527080481 = 9598473^2 + 3176559^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1190513919 + ... + 1190599778.

Almost surely, 2102221211012210 is an apocalyptic number.

102221211012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102221211012210 is an abundant number, since it is smaller than the sum of its proper divisors (177826333236966).

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

102221211012210 is a wasteful number, since it uses less digits than its factorization.

102221211012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381113769 (or 2381113760 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102221211012210 its reverse (12210112122201), we get a palindrome (114431323134411).

The spelling of 102221211012210 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred eleven million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1431 1590 2385 2862 4293 4770 7155 8586 14310 21465 42930 2381113697 4762227394 7143341091 11905568485 14286682182 21430023273 23811136970 35716705455 42860046546 64290069819 71433410910 107150116365 126199025941 128580139638 192870209457 214300232730 252398051882 321450349095 378597077823 385740418914 630995129705 642900698190 757194155646 964351047285 1135791233469 1261990259410 1892985389115 1928702094570 2271582466938 3407373700407 3785970778230 5678956167345 6814747400814 10222121101221 11357912334690 17036868502035 20444242202442 34073737004070 51110605506105 102221211012210