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102224313424232 = 23193774332445371
BaseRepresentation
bin10111001111100011110011…
…111000111001100101101000
3111101221112211011102222122222
4113033203303320321211220
5101344320343214033412
61001225111250533212
730350314532245136
oct2717436370714550
9441845734388588
10102224313424232
112a6320a6a4469a
12b56b90b897208
134506932c1392c
141b3597c888756
15bc41504c4072
hex5cf8f3e39968

102224313424232 has 64 divisors (see below), whose sum is σ = 207239408107200. Its totient is φ = 47106981665280.

The previous prime is 102224313424201. The next prime is 102224313424243. The reversal of 102224313424232 is 232424313422201.

It is a super-3 number, since 3×1022243134242323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102224313424192 and 102224313424201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40580507 + ... + 43025877.

It is an arithmetic number, because the mean of its divisors is an integer number (3238115751675).

Almost surely, 2102224313424232 is an apocalyptic number.

It is an amenable number.

102224313424232 is an abundant number, since it is smaller than the sum of its proper divisors (105015094682968).

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

102224313424232 is a wasteful number, since it uses less digits than its factorization.

102224313424232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452866 (or 2452862 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 102224313424232 its reverse (232424313422201), we get a palindrome (334648626846433).

The spelling of 102224313424232 in words is "one hundred two trillion, two hundred twenty-four billion, three hundred thirteen million, four hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 19 37 38 74 76 148 152 296 703 1406 2812 5624 7433 14866 29732 59464 141227 275021 282454 550042 564908 1100084 1129816 2200168 2445371 4890742 5225399 9781484 10450798 19562968 20901596 41803192 46462049 90478727 92924098 180957454 185848196 361914908 371696392 723829816 1719095813 3438191626 6876383252 13752766504 18176442643 36352885286 72705770572 145411541144 345352410217 672528377791 690704820434 1345056755582 1381409640868 2690113511164 2762819281736 5380227022328 12778039178029 25556078356058 51112156712116 102224313424232