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2111312412 = 2233113157329
BaseRepresentation
bin111110111011000…
…0001001000011100
312110010210210011000
41331312001020130
513310443444122
6545300430300
7103214600526
oct17566011034
95403723130
102111312412
119938652a0
124ab0a8390
1327854bbb1
14160592a16
15c554e0ac
hex7dd8121c

2111312412 has 96 divisors (see below), whose sum is σ = 6164121600. Its totient is φ = 619142400.

The previous prime is 2111312369. The next prime is 2111312429. The reversal of 2111312412 is 2142131112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8164 + ... + 65492.

It is an arithmetic number, because the mean of its divisors is an integer number (64209600).

Almost surely, 22111312412 is an apocalyptic number.

2111312412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111312412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082060800).

2111312412 is an abundant number, since it is smaller than the sum of its proper divisors (4052809188).

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

2111312412 is a wasteful number, since it uses less digits than its factorization.

2111312412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57384 (or 57376 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2111312412 is about 45949.0197066270. The cubic root of 2111312412 is about 1282.8744831665.

Adding to 2111312412 its reverse (2142131112), we get a palindrome (4253443524).

The spelling of 2111312412 in words is "two billion, one hundred eleven million, three hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 12276 18414 36828 57329 114658 171987 229316 343974 515961 630619 687948 1031922 1261238 1547883 1777199 1891857 2063844 2522476 3095766 3554398 3783714 5331597 5675571 6191532 7108796 7567428 10663194 11351142 15994791 17026713 19549189 21326388 22702284 31989582 34053426 39098378 47984373 58647567 63979164 68106852 78196756 95968746 117295134 175942701 191937492 234590268 351885402 527828103 703770804 1055656206 2111312412