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10100122002 = 232561117889
BaseRepresentation
bin10010110100000001…
…11010000110010010
3222001220011100200200
421122000322012102
5131141112401002
64350120400030
7505201422555
oct113200720622
928056140620
1010100122002
11431328a173
121b5a616016
13c4c674669
146bb58669c
153e1a88b1c
hex25a03a192

10100122002 has 12 divisors (see below), whose sum is σ = 21883597710. Its totient is φ = 3366707328.

The previous prime is 10100121989. The next prime is 10100122007. The reversal of 10100122002 is 20022100101.

It can be written as a sum of positive squares in only one way, i.e., 8667423801 + 1432698201 = 93099^2 + 37851^2 .

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 (10100122007) 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, 280558927 + ... + 280558962.

Almost surely, 210100122002 is an apocalyptic number.

10100122002 is an abundant number, since it is smaller than the sum of its proper divisors (11783475708).

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

10100122002 is a wasteful number, since it uses less digits than its factorization.

10100122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561117897 (or 561117894 counting only the distinct ones).

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

Adding to 10100122002 its reverse (20022100101), we get a palindrome (30122222103).

The spelling of 10100122002 in words is "ten billion, one hundred million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 561117889 1122235778 1683353667 3366707334 5050061001 10100122002