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2102000131 = 71189306727
BaseRepresentation
bin111110101001001…
…1111101000000011
312102111021200002201
41331102133220003
513301103001011
6544325054031
7103042464160
oct17522375003
95374250081
102102000131
119895848a0
124a7b57317
1327663b37a
1415d24b067
15c480ecc1
hex7d49fa03

2102000131 has 16 divisors (see below), whose sum is σ = 2650129920. Its totient is φ = 1619513280.

The previous prime is 2102000119. The next prime is 2102000161. The reversal of 2102000131 is 1310002012.

It is not a de Polignac number, because 2102000131 - 29 = 2101999619 is a prime.

It is a super-2 number, since 2×21020001312 = 8836809101448034322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146511 + ... + 160216.

It is an arithmetic number, because the mean of its divisors is an integer number (165633120).

Almost surely, 22102000131 is an apocalyptic number.

2102000131 is a deficient number, since it is larger than the sum of its proper divisors (548129789).

2102000131 is a wasteful number, since it uses less digits than its factorization.

2102000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306834.

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

The square root of 2102000131 is about 45847.5749740376. The cubic root of 2102000131 is about 1280.9855956769.

Adding to 2102000131 its reverse (1310002012), we get a palindrome (3412002143).

The spelling of 2102000131 in words is "two billion, one hundred two million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 11 77 89 623 979 6853 306727 2147089 3373997 23617979 27298703 191090921 300285733 2102000131