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2111310312 = 2334716311483
BaseRepresentation
bin111110111011000…
…0000100111101000
312110010210200021020
41331312000213220
513310443412222
6545300412440
7103214561436
oct17566004750
95403720236
102111310312
11993863761
124ab0a7120
1327854ac57
14160591d56
15c554d65c
hex7dd809e8

2111310312 has 64 divisors (see below), whose sum is σ = 5424122880. Its totient is φ = 684510912.

The previous prime is 2111310281. The next prime is 2111310319. The reversal of 2111310312 is 2130131112.

It is a happy number.

2111310312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2111310291 and 2111310300.

It is not an unprimeable number, because it can be changed into a prime (2111310319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178123 + ... + 189605.

It is an arithmetic number, because the mean of its divisors is an integer number (84751920).

Almost surely, 22111310312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712061440).

2111310312 is an abundant number, since it is smaller than the sum of its proper divisors (3312812568).

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

2111310312 is a wasteful number, since it uses less digits than its factorization.

2111310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11702 (or 11698 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2111310312 is about 45948.9968552089. The cubic root of 2111310312 is about 1282.8740578327.

Adding to 2111310312 its reverse (2130131112), we get a palindrome (4241441424).

The spelling of 2111310312 in words is "two billion, one hundred eleven million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 163 188 282 326 376 489 564 652 978 1128 1304 1956 3912 7661 11483 15322 22966 22983 30644 34449 45932 45966 61288 68898 91864 91932 137796 183864 275592 539701 1079402 1619103 1871729 2158804 3238206 3743458 4317608 5615187 6476412 7486916 11230374 12952824 14973832 22460748 44921496 87971263 175942526 263913789 351885052 527827578 703770104 1055655156 2111310312