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2120000031 = 321917417121
BaseRepresentation
bin111111001011100…
…1010001000011111
312110202011011022200
41332113022020133
513320210000111
6550210542543
7103351463052
oct17627121037
95422134280
102120000031
11998759446
124b1b97a53
1327a2a12b6
141617b4a99
15c61b8256
hex7e5ca21f

2120000031 has 24 divisors (see below), whose sum is σ = 3225696240. Its totient is φ = 1337990400.

The previous prime is 2120000023. The next prime is 2120000033. The reversal of 2120000031 is 1300000212.

It is a happy number.

It is not a de Polignac number, because 2120000031 - 23 = 2120000023 is a prime.

It is a super-2 number, since 2×21200000312 = 8988800262880001922, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2119999968 and 2120000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120000033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294151 + ... + 301271.

It is an arithmetic number, because the mean of its divisors is an integer number (134404010).

Almost surely, 22120000031 is an apocalyptic number.

2120000031 is a deficient number, since it is larger than the sum of its proper divisors (1105696209).

2120000031 is a wasteful number, since it uses less digits than its factorization.

2120000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8887 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2120000031 is about 46043.4580695238. The cubic root of 2120000031 is about 1284.6316639740.

Adding to 2120000031 its reverse (1300000212), we get a palindrome (3420000243).

The spelling of 2120000031 in words is "two billion, one hundred twenty million, thirty-one", and thus it is an aban number.

Divisors: 1 3 9 19 57 171 1741 5223 7121 15669 21363 33079 64089 99237 135299 297711 405897 1217691 12397661 37192983 111578949 235555559 706666677 2120000031