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131420214311120 = 2457797294452891
BaseRepresentation
bin11101111000011010100111…
…001100001011100011010000
3122020022122112200210111002022
4131320122213030023203100
5114211142044330423440
61143301340223311012
736452540265156260
oct3570324714134320
9566278480714068
10131420214311120
1138968aaa951669
12128a614ba4b468
135843b47091ba7
142464ab53197a0
15102d81c1a8cb5
hex7786a730b8d0

131420214311120 has 80 divisors (see below), whose sum is σ = 349640430830208. Its totient is φ = 45001824084480.

The previous prime is 131420214311117. The next prime is 131420214311171. The reversal of 131420214311120 is 21113412024131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 131420214311120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146780126 + ... + 147672765.

Almost surely, 2131420214311120 is an apocalyptic number.

131420214311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131420214311120 is an abundant number, since it is smaller than the sum of its proper divisors (218220216519088).

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

131420214311120 is a wasteful number, since it uses less digits than its factorization.

131420214311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294453708 (or 294453702 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 131420214311120 its reverse (21113412024131), we get a palindrome (152533626335251).

The spelling of 131420214311120 in words is "one hundred thirty-one trillion, four hundred twenty billion, two hundred fourteen million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 797 1594 3188 3985 5579 6376 7970 11158 12752 15940 22316 27895 31880 44632 55790 63760 89264 111580 223160 446320 294452891 588905782 1177811564 1472264455 2061170237 2355623128 2944528910 4122340474 4711246256 5889057820 8244680948 10305851185 11778115640 16489361896 20611702370 23556231280 32978723792 41223404740 82446809480 164893618960 234678954127 469357908254 938715816508 1173394770635 1642752678889 1877431633016 2346789541270 3285505357778 3754863266032 4693579082540 6571010715556 8213763394445 9387158165080 13142021431112 16427526788890 18774316330160 26284042862224 32855053577780 65710107155560 131420214311120