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102212556306 = 23783127230873
BaseRepresentation
bin101111100110001010…
…1111101011000010010
3100202211100221211220120
41133030111331120102
53133312403300211
6114542241451110
710245631251660
oct1371425753022
9322740854816
10102212556306
113a391361433
1217986940a96
13983c019363
144d38c49c30
1529d35d6d06
hex17cc57d612

102212556306 has 64 divisors (see below), whose sum is σ = 238306295808. Its totient is φ = 28624434048.

The previous prime is 102212556289. The next prime is 102212556311. The reversal of 102212556306 is 603655212201.

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, 327286 + ... + 558158.

It is an arithmetic number, because the mean of its divisors is an integer number (3723535872).

Almost surely, 2102212556306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212556306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119153147904).

102212556306 is an abundant number, since it is smaller than the sum of its proper divisors (136093739502).

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

102212556306 is a wasteful number, since it uses less digits than its factorization.

102212556306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231095.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 102212556306 its reverse (603655212201), we get a palindrome (705867768507).

The spelling of 102212556306 in words is "one hundred two billion, two hundred twelve million, five hundred fifty-six thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 42 83 127 166 249 254 381 498 581 762 889 1162 1743 1778 2667 3486 5334 10541 21082 31623 63246 73787 147574 221361 230873 442722 461746 692619 1385238 1616111 3232222 4848333 9696666 19162459 29320871 38324918 57487377 58641742 87962613 114974754 134137213 175925226 205246097 268274426 402411639 410492194 615738291 804823278 1231476582 2433632293 4867264586 7300896879 14601793758 17035426051 34070852102 51106278153 102212556306