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2132000031 = 37101523811
BaseRepresentation
bin111111100010011…
…1011110100011111
312111120201211020010
41333010323310133
513331243000111
6551320054303
7103555462350
oct17704736437
95446654203
102132000031
119a45051a7
124b6004393
1327c9132a5
14163219d27
15c7288aa6
hex7f13bd1f

2132000031 has 8 divisors (see below), whose sum is σ = 3248761984. Its totient is φ = 1218285720.

The previous prime is 2132000029. The next prime is 2132000053. The reversal of 2132000031 is 1300002312.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2132000031 - 21 = 2132000029 is a prime.

It is a super-2 number, since 2×21320000312 = 9090848264368001922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2131999980 and 2132000016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132050031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50761885 + ... + 50761926.

It is an arithmetic number, because the mean of its divisors is an integer number (406095248).

Almost surely, 22132000031 is an apocalyptic number.

2132000031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2132000031 is a deficient number, since it is larger than the sum of its proper divisors (1116761953).

2132000031 is a wasteful number, since it uses less digits than its factorization.

2132000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101523821.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2132000031 is about 46173.5858581505. The cubic root of 2132000031 is about 1287.0509383239.

Adding to 2132000031 its reverse (1300002312), we get a palindrome (3432002343).

The spelling of 2132000031 in words is "two billion, one hundred thirty-two million, thirty-one", and thus it is an aban number.

Divisors: 1 3 7 21 101523811 304571433 710666677 2132000031