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131001030212229 = 32101331436462057
BaseRepresentation
bin11101110010010100001101…
…110111101111101010000101
3122011211120120000221220202100
4131302110031313233222011
5114132310102213242404
61142341013101302313
736410340436132632
oct3562241567575205
9564746500856670
10131001030212229
1138817252401891
1212838a63b64999
135813462108658
14244c6ab379189
1510229864acd39
hex77250ddefa85

131001030212229 has 12 divisors (see below), whose sum is σ = 189242384445036. Its totient is φ = 87325401308352.

The previous prime is 131001030212209. The next prime is 131001030212243. The reversal of 131001030212229 is 922212030100131.

131001030212229 is a `hidden beast` number, since 1 + 310 + 0 + 1 + 0 + 302 + 1 + 22 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101674451390625 + 29326578821604 = 10083375^2 + 5415402^2 .

It is not a de Polignac number, because 131001030212229 - 211 = 131001030210181 is a prime.

It is a super-2 number, since 2×1310010302122292 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001030212209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718139832 + ... + 718322225.

It is an arithmetic number, because the mean of its divisors is an integer number (15770198703753).

Almost surely, 2131001030212229 is an apocalyptic number.

It is an amenable number.

131001030212229 is a deficient number, since it is larger than the sum of its proper divisors (58241354232807).

131001030212229 is a wasteful number, since it uses less digits than its factorization.

131001030212229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436472196 (or 1436472193 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 131001030212229 in words is "one hundred thirty-one trillion, one billion, thirty million, two hundred twelve thousand, two hundred twenty-nine".

Divisors: 1 3 9 10133 30399 91197 1436462057 4309386171 12928158513 14555670023581 43667010070743 131001030212229