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131202121120 = 2557308337997
BaseRepresentation
bin111101000110001000…
…0010111110110100000
3110112122200221022210021
41322030100113312200
54122200220333440
6140135020443224
712323211425440
oct1721420276640
9415580838707
10131202121120
11507081a4564
12215173a9514
13c4abc5c5c5
1464c8dcc120
15362d66c84a
hex1e8c417da0

131202121120 has 96 divisors (see below), whose sum is σ = 354369955968. Its totient is φ = 44967810048.

The previous prime is 131202121087. The next prime is 131202121133. The reversal of 131202121120 is 21121202131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131202121094 and 131202121103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3433962 + ... + 3471958.

It is an arithmetic number, because the mean of its divisors is an integer number (3691353708).

Almost surely, 2131202121120 is an apocalyptic number.

131202121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131202121120 is an abundant number, since it is smaller than the sum of its proper divisors (223167834848).

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

131202121120 is a wasteful number, since it uses less digits than its factorization.

131202121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41102 (or 41094 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 131202121120 its reverse (21121202131), we get a palindrome (152323323251).

The spelling of 131202121120 in words is "one hundred thirty-one billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3083 6166 12332 15415 21581 24664 30830 37997 43162 49328 61660 75994 86324 98656 107905 123320 151988 172648 189985 215810 246640 265979 303976 345296 379970 431620 493280 531958 607952 690592 759940 863240 1063916 1215904 1329895 1519880 1726480 2127832 2659790 3039760 3452960 4255664 5319580 6079520 8511328 10639160 21278320 42556640 117144751 234289502 468579004 585723755 820013257 937158008 1171447510 1640026514 1874316016 2342895020 3280053028 3748632032 4100066285 4685790040 6560106056 8200132570 9371580080 13120212112 16400265140 18743160160 26240424224 32800530280 65601060560 131202121120