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131201404323020 = 2251761113307182353
BaseRepresentation
bin11101110101001110110101…
…000110010100010011001100
3122012112201202110012101202222
4131311032311012110103030
5114144100434001314040
61143013032034034512
736430663052023643
oct3565166506242314
9565481673171688
10131201404323020
1138894226365a59
121286b864a18a38
135829315aa3255
14245827900235a
151027cb26cebb5
hex7753b51944cc

131201404323020 has 192 divisors, whose sum is σ = 300112681309056. Its totient is φ = 47996680273920.

The previous prime is 131201404322987. The next prime is 131201404323047. The reversal of 131201404323020 is 20323404102131.

It is a super-2 number, since 2×1312014043230202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719400164 + ... + 719582516.

It is an arithmetic number, because the mean of its divisors is an integer number (1563086881818).

Almost surely, 2131201404323020 is an apocalyptic number.

131201404323020 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 131201404323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150056340654528).

131201404323020 is an abundant number, since it is smaller than the sum of its proper divisors (168911276986036).

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

131201404323020 is a wasteful number, since it uses less digits than its factorization.

131201404323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182860 (or 182858 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 131201404323020 its reverse (20323404102131), we get a palindrome (151524808425151).

The spelling of 131201404323020 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, three hundred twenty-three thousand, twenty".