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100323313000240 = 24511269423805817
BaseRepresentation
bin10110110011111001010111…
…011011110001111100110000
3111011012211000011202200020011
4112303321113123301330300
5101122144121112001430
6553211521014224304
730063056135250421
oct2663712733617460
9434184004680204
10100323313000240
1129a69972846620
12b3033b6655094
1343c95a8b33b45
141aab96223b648
15b8e98d9b922a
hex5b3e576f1f30

100323313000240 has 80 divisors (see below), whose sum is σ = 255402338159520. Its totient is φ = 36345586780160.

The previous prime is 100323313000181. The next prime is 100323313000241. The reversal of 100323313000240 is 42000313323001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (100323313000241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211666189 + ... + 212139628.

It is an arithmetic number, because the mean of its divisors is an integer number (3192529226994).

Almost surely, 2100323313000240 is an apocalyptic number.

100323313000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100323313000240 is an abundant number, since it is smaller than the sum of its proper divisors (155079025159280).

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

100323313000240 is a wasteful number, since it uses less digits than its factorization.

100323313000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423806110 (or 423806104 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 100323313000240 its reverse (42000313323001), we get a palindrome (142323626323241).

The spelling of 100323313000240 in words is "one hundred trillion, three hundred twenty-three billion, three hundred thirteen million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 269 440 538 880 1076 1345 2152 2690 2959 4304 5380 5918 10760 11836 14795 21520 23672 29590 47344 59180 118360 236720 423805817 847611634 1695223268 2119029085 3390446536 4238058170 4661863987 6780893072 8476116340 9323727974 16952232680 18647455948 23309319935 33904465360 37294911896 46618639870 74589823792 93237279740 114003764773 186474559480 228007529546 372949118960 456015059092 570018823865 912030118184 1140037647730 1254041412503 1824060236368 2280075295460 2508082825006 4560150590920 5016165650012 6270207062515 9120301181840 10032331300024 12540414125030 20064662600048 25080828250060 50161656500120 100323313000240