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2031120100 = 2252101201101
BaseRepresentation
bin111100100010000…
…0110111011100100
312020112220120222101
41321010012323210
513124431320400
6533313541444
7101222143642
oct17104067344
95215816871
102031120100
11952572659
12488274884
13264a52119
14153a7a192
15bd4ad56a
hex79106ee4

2031120100 has 36 divisors (see below), whose sum is σ = 4451191668. Its totient is φ = 804400000.

The previous prime is 2031120089. The next prime is 2031120107. The reversal of 2031120100 is 10211302.

It can be written as a sum of positive squares in 6 ways, for example, as 26050816 + 2005069284 = 5104^2 + 44778^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2031120107) 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, 90451 + ... + 110650.

It is an arithmetic number, because the mean of its divisors is an integer number (123644213).

Almost surely, 22031120100 is an apocalyptic number.

2031120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031120100 is an abundant number, since it is smaller than the sum of its proper divisors (2420071568).

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

2031120100 is a wasteful number, since it uses less digits than its factorization.

2031120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201216 (or 201209 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2031120100 is about 45067.9498091493. The cubic root of 2031120100 is about 1266.4222573984.

Adding to 2031120100 its reverse (10211302), we get a palindrome (2041331402).

The spelling of 2031120100 in words is "two billion, thirty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 201101 402202 804404 1005505 2011010 4022020 5027525 10055050 20110100 20311201 40622402 81244804 101556005 203112010 406224020 507780025 1015560050 2031120100