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131121233440320 = 2635433176386469
BaseRepresentation
bin11101110100000100001010…
…100010101010111001000000
3122012021001211012112120210010
4131310010022202222321000
5114141242241230042240
61142512132453504520
736422124253536024
oct3564041242527100
9565231735476703
10131121233440320
1138863225a54202
121285820b942140
1358218aa43a416
1424544316a4384
151025b6e209280
hex77410a8aae40

131121233440320 has 112 divisors (see below), whose sum is σ = 425991542264640. Its totient is φ = 34152507303936.

The previous prime is 131121233440319. The next prime is 131121233440339. The reversal of 131121233440320 is 23044332121131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1588151955 + ... + 1588234514.

Almost surely, 2131121233440320 is an apocalyptic number.

131121233440320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131121233440320 is an abundant number, since it is smaller than the sum of its proper divisors (294870308824320).

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

131121233440320 is a wasteful number, since it uses less digits than its factorization.

131121233440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176386532 (or 3176386522 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131121233440320 its reverse (23044332121131), we get a palindrome (154165565561451).

The spelling of 131121233440320 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, two hundred thirty-three million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1376 1720 2064 2580 2752 3440 4128 5160 6880 8256 10320 13760 20640 41280 3176386469 6352772938 9529159407 12705545876 15881932345 19058318814 25411091752 31763864690 38116637628 47645797035 50822183504 63527729380 76233275256 95291594070 101644367008 127055458760 136584618167 152466550512 190583188140 203288734016 254110917520 273169236334 304933101024 381166376280 409753854501 508221835040 546338472668 609866202048 682923090835 762332752560 819507709002 1016443670080 1092676945336 1365846181670 1524665505120 1639015418004 2048769272505 2185353890672 2731692363340 3049331010240 3278030836008 4097538545010 4370707781344 5463384726680 6556061672016 8195077090020 8741415562688 10926769453360 13112123344032 16390154180040 21853538906720 26224246688064 32780308360080 43707077813440 65560616720160 131121233440320