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131001341401233 = 334851901533379
BaseRepresentation
bin11101110010010100100000…
…011010110101100010010001
3122011211121100201111221211000
4131302110200122311202101
5114132311221344314413
61142341104015212213
736410351235163332
oct3562244032654221
9564747321457730
10131001341401233
11388173a2028786
1212838b30217069
1358134b1723264
14244c6da822289
1510229a397c073
hex7725206b5891

131001341401233 has 8 divisors (see below), whose sum is σ = 194076061335200. Its totient is φ = 87334227600804.

The previous prime is 131001341401207. The next prime is 131001341401291. The reversal of 131001341401233 is 332104143100131.

131001341401233 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 13 + 414 + 0 + 1 + 233 = 666.

It is not a de Polignac number, because 131001341401233 - 242 = 126603294890129 is a prime.

It is a super-2 number, since 2×1310013414012332 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4851901533379 = 131001341401233 / (1 + 3 + 1 + 0 + 0 + 1 + 3 + 4 + 1 + 4 + 0 + 1 + 2 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131001341401197 and 131001341401206.

It is not an unprimeable number, because it can be changed into a prime (131001341401433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2425950766663 + ... + 2425950766716.

It is an arithmetic number, because the mean of its divisors is an integer number (24259507666900).

Almost surely, 2131001341401233 is an apocalyptic number.

It is an amenable number.

131001341401233 is a deficient number, since it is larger than the sum of its proper divisors (63074719933967).

131001341401233 is an equidigital number, since it uses as much as digits as its factorization.

131001341401233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851901533388 (or 4851901533382 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131001341401233 its reverse (332104143100131), we get a palindrome (463105484501364).

The spelling of 131001341401233 in words is "one hundred thirty-one trillion, one billion, three hundred forty-one million, four hundred one thousand, two hundred thirty-three".

Divisors: 1 3 9 27 4851901533379 14555704600137 43667113800411 131001341401233