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101012000202 = 23241136872629
BaseRepresentation
bin101111000010011001…
…0001100110111001010
3100122201200220021112200
41132010302030313022
53123333033001302
6114223153421030
710204112556261
oct1360462146712
9318650807480
10101012000202
1139925705903
12176b086a776
1396aa38ba29
144c636135d8
152962edb81c
hex1784c8cdca

101012000202 has 24 divisors (see below), whose sum is σ = 224197367940. Its totient is φ = 32849430720.

The previous prime is 101012000191. The next prime is 101012000207. The reversal of 101012000202 is 202000210101.

It can be written as a sum of positive squares in 2 ways, for example, as 82776468681 + 18235531521 = 287709^2 + 135039^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101012000207) 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, 68435577 + ... + 68437052.

Almost surely, 2101012000202 is an apocalyptic number.

101012000202 is an abundant number, since it is smaller than the sum of its proper divisors (123185367738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101012000202 is a wasteful number, since it uses less digits than its factorization.

101012000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136872678 (or 136872675 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101012000202 its reverse (202000210101), we get a palindrome (303012210303).

The spelling of 101012000202 in words is "one hundred one billion, twelve million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 136872629 273745258 410617887 821235774 1231853661 2463707322 5611777789 11223555578 16835333367 33670666734 50506000101 101012000202