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131331233320320 = 2735116218334911
BaseRepresentation
bin11101110111000111101111…
…100000101000110110000000
3122020000010212110100210210110
4131313013233200220312000
5114203212331212222240
61143152422524031320
736443240251215105
oct3567075740506600
9566003773323713
10131331233320320
1138934299458240
1212890a58392540
135838636404247
1424606738b6aac
15102b360515c80
hex7771ef828d80

131331233320320 has 128 divisors (see below), whose sum is σ = 456674515937280. Its totient is φ = 31837874739200.

The previous prime is 131331233320291. The next prime is 131331233320387. The reversal of 131331233320320 is 23023332133131.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

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, 3109146336 + ... + 3109188575.

It is an arithmetic number, because the mean of its divisors is an integer number (3567769655760).

Almost surely, 2131331233320320 is an apocalyptic number.

131331233320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131331233320320 is an abundant number, since it is smaller than the sum of its proper divisors (325343282616960).

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

131331233320320 is a wasteful number, since it uses less digits than its factorization.

131331233320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6218334944 (or 6218334932 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 131331233320320 its reverse (23023332133131), we get a palindrome (154354565453451).

The spelling of 131331233320320 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, two hundred thirty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 6218334911 12436669822 18655004733 24873339644 31091674555 37310009466 49746679288 62183349110 68401684021 74620018932 93275023665 99493358576 124366698220 136803368042 149240037864 186550047330 198986717152 205205052063 248733396440 273606736084 298480075728 342008420105 373100094660 397973434304 410410104126 497466792880 547213472168 596960151456 684016840210 746200189320 795946868608 820820208252 994933585760 1026025260315 1094426944336 1193920302912 1368033680420 1492400378640 1641640416504 1989867171520 2052050520630 2188853888672 2387840605824 2736067360840 2984800757280 3283280833008 3979734343040 4104101041260 4377707777344 5472134721680 5969601514560 6566561666016 8208202082520 8755415554688 10944269443360 11939203029120 13133123332032 16416404165040 21888538886720 26266246664064 32832808330080 43777077773440 65665616660160 131331233320320