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10211402129 = 6722274761
BaseRepresentation
bin10011000001010010…
…11010000110010001
3222100122112222022212
421200221122012101
5131403104332004
64405133441505
7511022325455
oct114051320621
928318488285
1010211402129
114370085615
121b8b940295
13c697375a6
146cc272665
153eb71a96e
hex260a5a191

10211402129 has 6 divisors (see below), whose sum is σ = 10366090434. Its totient is φ = 10058988720.

The previous prime is 10211402101. The next prime is 10211402137. The reversal of 10211402129 is 92120411201.

It can be written as a sum of positive squares in only one way, i.e., 7081559104 + 3129843025 = 84152^2 + 55945^2 .

It is not a de Polignac number, because 10211402129 - 216 = 10211336593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211402429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1132892 + ... + 1141869.

It is an arithmetic number, because the mean of its divisors is an integer number (1727681739).

Almost surely, 210211402129 is an apocalyptic number.

It is an amenable number.

10211402129 is a deficient number, since it is larger than the sum of its proper divisors (154688305).

10211402129 is an frugal number, since it uses more digits than its factorization.

10211402129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274895 (or 2274828 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10211402129 in words is "ten billion, two hundred eleven million, four hundred two thousand, one hundred twenty-nine".

Divisors: 1 67 4489 2274761 152408987 10211402129