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2114112312 = 233413250963
BaseRepresentation
bin111111000000010…
…1100101100111000
312110100002000220000
41332000230230320
513312203043222
6545440433000
7103250441514
oct17600545470
95410060800
102114112312
119953a7964
124b0018760
13278cbc440
14160ac1144
15c59039ac
hex7e02cb38

2114112312 has 80 divisors (see below), whose sum is σ = 6376995240. Its totient is φ = 650493504.

The previous prime is 2114112307. The next prime is 2114112331. The reversal of 2114112312 is 2132114112.

2114112312 is a `hidden beast` number, since 21 + 1 + 411 + 231 + 2 = 666.

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 19 ways as a sum of consecutive naturals, for example, 117058 + ... + 133905.

Almost surely, 22114112312 is an apocalyptic number.

It is an amenable number.

2114112312 is an abundant number, since it is smaller than the sum of its proper divisors (4262882928).

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

2114112312 is a wasteful number, since it uses less digits than its factorization.

2114112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250994 (or 250981 counting only the distinct ones).

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

The square root of 2114112312 is about 45979.4770740164. The cubic root of 2114112312 is about 1283.4413239010.

Adding to 2114112312 its reverse (2132114112), we get a palindrome (4246226424).

The spelling of 2114112312 in words is "two billion, one hundred fourteen million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 250963 501926 752889 1003852 1505778 2007704 2258667 3011556 3262519 4517334 6023112 6525038 6776001 9034668 9787557 13050076 13552002 18069336 19575114 20328003 26100152 27104004 29362671 39150228 40656006 54208008 58725342 78300456 81312012 88088013 117450684 162624024 176176026 234901368 264264039 352352052 528528078 704704104 1057056156 2114112312