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131101002205 = 561742496273
BaseRepresentation
bin111101000011000111…
…0101000100111011101
3110112101122122221201021
41322012032220213131
54121443324032310
6140121005244141
712320543063215
oct1720616504735
9415348587637
10131101002205
1150666109408
12214a9563651
13c494016724
1464b97c9245
1536248465da
hex1e863a89dd

131101002205 has 8 divisors (see below), whose sum is σ = 157576183992. Its totient is φ = 104710814208.

The previous prime is 131101002199. The next prime is 131101002211. The reversal of 131101002205 is 502200101131.

It is an interprime number because it is at equal distance from previous prime (131101002199) and next prime (131101002211).

It can be written as a sum of positive squares in 4 ways, for example, as 9748402756 + 121352599449 = 98734^2 + 348357^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131101002205 - 221 = 131098905053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21245052 + ... + 21251221.

It is an arithmetic number, because the mean of its divisors is an integer number (19697022999).

Almost surely, 2131101002205 is an apocalyptic number.

It is an amenable number.

131101002205 is a deficient number, since it is larger than the sum of its proper divisors (26475181787).

131101002205 is an equidigital number, since it uses as much as digits as its factorization.

131101002205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42496895.

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 131101002205 its reverse (502200101131), we get a palindrome (633301103336).

The spelling of 131101002205 in words is "one hundred thirty-one billion, one hundred one million, two thousand, two hundred five".

Divisors: 1 5 617 3085 42496273 212481365 26220200441 131101002205