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102212232136 = 23737317472801
BaseRepresentation
bin101111100110001010…
…0101110001111001000
3100202211100100101020021
41133030110232033020
53133312312412021
6114542230510224
710245625431610
oct1371424561710
9322740311207
10102212232136
113a39115a923
1217986805374
13983bc34941
144d38ba3a40
1529d3570c41
hex17cc52e3c8

102212232136 has 64 divisors (see below), whose sum is σ = 219817572480. Its totient is φ = 43647206400.

The previous prime is 102212232127. The next prime is 102212232137. The reversal of 102212232136 is 631232212201.

It is a super-2 number, since 2×1022122321362 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102212232136.

It is not an unprimeable number, because it can be changed into a prime (102212232137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36489936 + ... + 36492736.

It is an arithmetic number, because the mean of its divisors is an integer number (3434649570).

Almost surely, 2102212232136 is an apocalyptic number.

It is an amenable number.

102212232136 is an abundant number, since it is smaller than the sum of its proper divisors (117605340344).

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

102212232136 is a wasteful number, since it uses less digits than its factorization.

102212232136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 102212232136 its reverse (631232212201), we get a palindrome (733444444337).

The spelling of 102212232136 in words is "one hundred two billion, two hundred twelve million, two hundred thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 373 746 1492 1747 2611 2801 2984 3494 5222 5602 6988 10444 11204 12229 13976 19607 20888 22408 24458 39214 48916 78428 97832 156856 651631 1044773 1303262 2089546 2606524 4179092 4561417 4893347 5213048 7313411 8358184 9122834 9786694 14626822 18245668 19573388 29253644 34253429 36491336 39146776 58507288 68506858 137013716 274027432 1825218431 3650436862 7300873724 12776529017 14601747448 25553058034 51106116068 102212232136