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131001341401205 = 5115998139709951
BaseRepresentation
bin11101110010010100100000…
…011010110101100001110101
3122011211121100201111221202222
4131302110200122311201311
5114132311221344314310
61142341104015212125
736410351235163262
oct3562244032654165
9564747321457688
10131001341401205
11388173a2028760
1212838b30217045
1358134b1723242
14244c6da822269
1510229a397c055
hex7725206b5875

131001341401205 has 16 divisors (see below), whose sum is σ = 171495528542208. Its totient is φ = 95272112040000.

The previous prime is 131001341401163. The next prime is 131001341401207. The reversal of 131001341401205 is 502104143100131.

It is not a de Polignac number, because 131001341401205 - 230 = 131000267659381 is a prime.

It is a super-2 number, since 2×1310013414012052 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001341401207) by changing a digit.

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, 16556021 + ... + 23153930.

It is an arithmetic number, because the mean of its divisors is an integer number (10718470533888).

Almost surely, 2131001341401205 is an apocalyptic number.

It is an amenable number.

131001341401205 is a deficient number, since it is larger than the sum of its proper divisors (40494187141003).

131001341401205 is a wasteful number, since it uses less digits than its factorization.

131001341401205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39769948.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 131001341401205 its reverse (502104143100131), we get a palindrome (633105484501336).

The spelling of 131001341401205 in words is "one hundred thirty-one trillion, one billion, three hundred forty-one million, four hundred one thousand, two hundred five".

Divisors: 1 5 11 55 59981 299905 659791 3298955 39709951 198549755 436809461 2184047305 2381842570931 11909212854655 26200268280241 131001341401205