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131222031120 = 24325467390263
BaseRepresentation
bin111101000110101110…
…0010100101100010000
3110112201002101212011200
41322031130110230100
54122220314443440
6140141011311200
712323542601205
oct1721534245420
9415632355150
10131222031120
1150718463204
1221521bab500
13c4b3110a7b
1464cb8d1cac
1536302a1c30
hex1e8d714b10

131222031120 has 120 divisors (see below), whose sum is σ = 441632108736. Its totient is φ = 34917521664.

The previous prime is 131222031041. The next prime is 131222031137. The reversal of 131222031120 is 21130222131.

131222031120 is a `hidden beast` number, since 1 + 312 + 2 + 20 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131222031093 and 131222031102.

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 23 ways as a sum of consecutive naturals, for example, 141109 + ... + 531371.

Almost surely, 2131222031120 is an apocalyptic number.

131222031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131222031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220816054368).

131222031120 is an abundant number, since it is smaller than the sum of its proper divisors (310410077616).

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

131222031120 is a wasteful number, since it uses less digits than its factorization.

131222031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390749 (or 390740 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131222031120 its reverse (21130222131), we get a palindrome (152352253251).

The spelling of 131222031120 in words is "one hundred thirty-one billion, two hundred twenty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 467 720 934 1401 1868 2335 2802 3736 4203 4670 5604 7005 7472 8406 9340 11208 14010 16812 18680 21015 22416 28020 33624 37360 42030 56040 67248 84060 112080 168120 336240 390263 780526 1170789 1561052 1951315 2341578 3122104 3512367 3902630 4683156 5853945 6244208 7024734 7805260 9366312 11707890 14049468 15610520 17561835 18732624 23415780 28098936 31221040 35123670 46831560 56197872 70247340 93663120 140494680 182252821 280989360 364505642 546758463 729011284 911264105 1093516926 1458022568 1640275389 1822528210 2187033852 2733792315 2916045136 3280550778 3645056420 4374067704 5467584630 6561101556 7290112840 8201376945 8748135408 10935169260 13122203112 14580225680 16402753890 21870338520 26244406224 32805507780 43740677040 65611015560 131222031120