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102341324332100 = 225279714591033061
BaseRepresentation
bin10111010001010000110010…
…010010000101110001000100
3111102100201211212002222121102
4113101100302102011301010
5101403230013012111400
61001354542204435232
730361626264455210
oct2721206222056104
9442321755088542
10102341324332100
112a677791609637
12b58a526548b18
13451498ca65619
141b3b4bcc27940
15bc71ecd3c9d5
hex5d1432485c44

102341324332100 has 144 divisors (see below), whose sum is σ = 256599047026560. Its totient is φ = 34702882099200.

The previous prime is 102341324332073. The next prime is 102341324332151. The reversal of 102341324332100 is 1233423143201.

It is a super-2 number, since 2×1023413243321002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98549570 + ... + 99582630.

Almost surely, 2102341324332100 is an apocalyptic number.

102341324332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102341324332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128299523513280).

102341324332100 is an abundant number, since it is smaller than the sum of its proper divisors (154257722694460).

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

102341324332100 is a wasteful number, since it uses less digits than its factorization.

102341324332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034638 (or 1034631 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 102341324332100 its reverse (1233423143201), we get a palindrome (103574747475301).

The spelling of 102341324332100 in words is "one hundred two trillion, three hundred forty-one billion, three hundred twenty-four million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 485 679 700 970 1358 1459 1940 2425 2716 2918 3395 4850 5836 6790 7295 9700 10213 13580 14590 16975 20426 29180 33950 36475 40852 51065 67900 72950 102130 141523 145900 204260 255325 283046 510650 566092 707615 990661 1021300 1033061 1415230 1981322 2066122 2830460 3538075 3962644 4132244 4953305 5165305 7076150 7231427 9906610 10330610 14152300 14462854 19813220 20661220 24766525 25826525 28925708 36157135 49533050 51653050 72314270 99066100 100206917 103306100 144628540 180785675 200413834 361571350 400827668 501034585 701448419 723142700 1002069170 1402896838 1507235999 2004138340 2505172925 2805793676 3014471998 3507242095 5010345850 6028943996 7014484190 7536179995 10020691700 10550651993 14028968380 15072359990 17536210475 21101303986 30144719980 35072420950 37680899975 42202607972 52753259965 70144841900 75361799950 105506519930 146201891903 150723599900 211013039860 263766299825 292403783806 527532599650 584807567612 731009459515 1023413243321 1055065199300 1462018919030 2046826486642 2924037838060 3655047297575 4093652973284 5117066216605 7310094595150 10234132433210 14620189190300 20468264866420 25585331083025 51170662166050 102341324332100