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100312144429 = 724149931381
BaseRepresentation
bin101110101101100010…
…0011101101000101101
3100120220220222220220111
41131123010131220231
53120414402110204
6114025513220021
710150554105400
oct1353304355055
9316826886814
10100312144429
11395a6654902
1217536401611
1395c83a01a3
144bd86b5d37
152921846d04
hex175b11da2d

100312144429 has 12 divisors (see below), whose sum is σ = 119535728508. Its totient is φ = 83884718400.

The previous prime is 100312144423. The next prime is 100312144441. The reversal of 100312144429 is 924441213001.

It can be written as a sum of positive squares in 2 ways, for example, as 60402892900 + 39909251529 = 245770^2 + 199773^2 .

It is not a de Polignac number, because 100312144429 - 29 = 100312143917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100312144429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312144423) 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, 24963682 + ... + 24967699.

It is an arithmetic number, because the mean of its divisors is an integer number (9961310709).

Almost surely, 2100312144429 is an apocalyptic number.

It is an amenable number.

100312144429 is a deficient number, since it is larger than the sum of its proper divisors (19223584079).

100312144429 is an equidigital number, since it uses as much as digits as its factorization.

100312144429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49931436 (or 49931429 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 100312144429 in words is "one hundred billion, three hundred twelve million, one hundred forty-four thousand, four hundred twenty-nine".

Divisors: 1 7 41 49 287 2009 49931381 349519667 2047186621 2446637669 14330306347 100312144429