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100342455132000 = 253538361871261
BaseRepresentation
bin10110110100001011001100…
…011001001101111101100000
3111011021122102020001201111010
4112310023030121031331200
5101123002322003211000
6553224404300420520
730064334402552634
oct2664131431157540
9434248366051433
10100342455132000
1129a76aa5aaa524
12b307059247740
1343cb339877023
141aac85a612dc4
15b9020e27bd50
hex5b42cc64df60

100342455132000 has 96 divisors (see below), whose sum is σ = 328721883051744. Its totient is φ = 26757988032000.

The previous prime is 100342455131993. The next prime is 100342455132001. The reversal of 100342455132000 is 231554243001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100342455132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4180923631 + ... + 4180947630.

It is an arithmetic number, because the mean of its divisors is an integer number (3424186281789).

Almost surely, 2100342455132000 is an apocalyptic number.

100342455132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100342455132000 is an abundant number, since it is smaller than the sum of its proper divisors (228379427919744).

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

100342455132000 is an equidigital number, since it uses as much as digits as its factorization.

100342455132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8361871289 (or 8361871271 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 100342455132000 in words is "one hundred trillion, three hundred forty-two billion, four hundred fifty-five million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 8361871261 16723742522 25085613783 33447485044 41809356305 50171227566 66894970088 83618712610 100342455132 125428068915 133789940176 167237425220 200684910264 209046781525 250856137830 267579880352 334474850440 401369820528 418093563050 501712275660 627140344575 668949700880 802739641056 836187126100 1003424551320 1045233907625 1254280689150 1337899401760 1672374252200 2006849102640 2090467815250 2508561378300 3135701722875 3344748504400 4013698205280 4180935630500 5017122756600 6271403445750 6689497008800 8361871261000 10034245513200 12542806891500 16723742522000 20068491026400 25085613783000 33447485044000 50171227566000 100342455132000