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131003334101200 = 245211144720576009
BaseRepresentation
bin11101110010010110010111…
…001100011000100011010000
3122011211210111121010121021111
4131302112113030120203100
5114132324312012214300
61142342033441503104
736410451512642251
oct3562262714304320
9564753447117244
10131003334101200
1138818224939760
12128393a7641a94
13581373b512972
14244c84933ab28
151022a6d89b9ba
hex7725973188d0

131003334101200 has 120 divisors (see below), whose sum is σ = 343585128519360. Its totient is φ = 47604652108800.

The previous prime is 131003334101141. The next prime is 131003334101209. The reversal of 131003334101200 is 2101433300131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003334101209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3921205 + ... + 16654804.

It is an arithmetic number, because the mean of its divisors is an integer number (2863209404328).

Almost surely, 2131003334101200 is an apocalyptic number.

131003334101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131003334101200 is an abundant number, since it is smaller than the sum of its proper divisors (212581794418160).

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

131003334101200 is a wasteful number, since it uses less digits than its factorization.

131003334101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20577485 (or 20577474 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131003334101200 its reverse (2101433300131), we get a palindrome (133104767401331).

The spelling of 131003334101200 in words is "one hundred thirty-one trillion, three billion, three hundred thirty-four million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1447 2200 2894 4400 5788 7235 11576 14470 15917 23152 28940 31834 36175 57880 63668 72350 79585 115760 127336 144700 159170 254672 289400 318340 397925 578800 636680 795850 1273360 1591700 3183400 6366800 20576009 41152018 82304036 102880045 164608072 205760090 226336099 329216144 411520180 452672198 514400225 823040360 905344396 1028800450 1131680495 1646080720 1810688792 2057600900 2263360990 3621377584 4115201800 4526721980 5658402475 8230403600 9053443960 11316804950 18106887920 22633609900 29773485023 45267219800 59546970046 90534439600 119093940092 148867425115 238187880184 297734850230 327508335253 476375760368 595469700460 655016670506 744337125575 1190939400920 1310033341012 1488674251150 1637541676265 2381878801840 2620066682024 2977348502300 3275083352530 5240133364048 5954697004600 6550166705060 8187708381325 11909394009200 13100333410120 16375416762650 26200666820240 32750833525300 65501667050600 131003334101200