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2114045031 = 373112792539
BaseRepresentation
bin111111000000001…
…1100010001100111
312110022221121121010
41332000130101213
513312143420111
6545435153303
7103250041410
oct17600342147
95408847533
102114045031
1199536135a
124abba5833
13278c97927
14160aa4807
15c58ddaa6
hex7e01c467

2114045031 has 32 divisors (see below), whose sum is σ = 3329228800. Its totient is φ = 1167683040.

The previous prime is 2114045009. The next prime is 2114045057. The reversal of 2114045031 is 1305404112.

It is not a de Polignac number, because 2114045031 - 26 = 2114044967 is a prime.

It is a super-2 number, since 2×21140450312 = 8938372786191581922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2114044989 and 2114045007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114045071) 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, 831360 + ... + 833898.

It is an arithmetic number, because the mean of its divisors is an integer number (104038400).

Almost surely, 22114045031 is an apocalyptic number.

2114045031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2114045031 is a deficient number, since it is larger than the sum of its proper divisors (1215183769).

2114045031 is a wasteful number, since it uses less digits than its factorization.

2114045031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2114045031 is about 45978.7454265555. The cubic root of 2114045031 is about 1283.4277087095.

Adding to 2114045031 its reverse (1305404112), we get a palindrome (3419449143).

The spelling of 2114045031 in words is "two billion, one hundred fourteen million, forty-five thousand, thirty-one".

Divisors: 1 3 7 21 31 93 217 651 1279 2539 3837 7617 8953 17773 26859 39649 53319 78709 118947 236127 277543 550963 832629 1652889 3247381 9742143 22731667 68195001 100668811 302006433 704681677 2114045031