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20100122001 = 337310993559
BaseRepresentation
bin10010101110000011…
…111000010110010001
31220212210220222211000
4102232003320112101
5312131112401001
613122303212213
71311046134531
oct225603702621
956783828730
1020100122001
118584aa4183
123a8b5a7069
131b84361b1b
14d897094c1
157c9946a86
hex4ae0f8591

20100122001 has 32 divisors (see below), whose sum is σ = 30463136000. Its totient is φ = 13095126144.

The previous prime is 20100121997. The next prime is 20100122051. The reversal of 20100122001 is 10022100102.

It is not a de Polignac number, because 20100122001 - 22 = 20100121997 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20100122051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168060 + ... + 261618.

It is an arithmetic number, because the mean of its divisors is an integer number (951973000).

Almost surely, 220100122001 is an apocalyptic number.

It is an amenable number.

20100122001 is a deficient number, since it is larger than the sum of its proper divisors (10363013999).

20100122001 is a wasteful number, since it uses less digits than its factorization.

20100122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93750 (or 93744 counting only the distinct ones).

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

Adding to 20100122001 its reverse (10022100102), we get a palindrome (30122222103).

The spelling of 20100122001 in words is "twenty billion, one hundred million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 27 73 109 219 327 657 981 1971 2943 7957 23871 71613 93559 214839 280677 842031 2526093 6829807 10197931 20489421 30593793 61468263 91781379 184404789 275344137 744448963 2233346889 6700040667 20100122001