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2110112112312 = 233357774322787
BaseRepresentation
bin11110101101001100011…
…110111001111010111000
321110201120100012201112000
4132231030132321322320
5234033002200043222
64253212213421000
7305310355005411
oct36551436717270
97421510181460
102110112112312
117439913055a6
122a0b5433a760
13123ca1055c09
14741b68d8808
1539d4ed6d9ac
hex1eb4c7b9eb8

2110112112312 has 128 divisors (see below), whose sum is σ = 5879741529600. Its totient is φ = 701175896064.

The previous prime is 2110112112287. The next prime is 2110112112341. The reversal of 2110112112312 is 2132112110112.

It is a happy number.

2110112112312 is a `hidden beast` number, since 211 + 0 + 11 + 211 + 231 + 2 = 666.

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

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, 92590183 + ... + 92612969.

It is an arithmetic number, because the mean of its divisors is an integer number (45935480700).

Almost surely, 22110112112312 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 2110112112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939870764800).

2110112112312 is an abundant number, since it is smaller than the sum of its proper divisors (3769629417288).

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

2110112112312 is a wasteful number, since it uses less digits than its factorization.

2110112112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24122 (or 24112 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 2110112112312 its reverse (2132112110112), we get a palindrome (4242224222424).

The spelling of 2110112112312 in words is "two trillion, one hundred ten billion, one hundred twelve million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 577 743 1154 1486 1731 2229 2308 2972 3462 4458 4616 5193 5944 6687 6924 8916 10386 13374 13848 15579 17832 20061 20772 22787 26748 31158 40122 41544 45574 53496 62316 68361 80244 91148 124632 136722 160488 182296 205083 273444 410166 428711 546888 615249 820332 857422 1230498 1286133 1640664 1714844 2460996 2572266 3429688 3858399 4921992 5144532 7716798 10289064 11575197 13148099 15433596 16930741 23150394 26296198 30867192 33861482 39444297 46300788 50792223 52592396 67722964 78888594 92601576 101584446 105184792 118332891 135445928 152376669 157777188 203168892 236665782 304753338 315554376 354998673 406337784 457130007 473331564 609506676 709997346 914260014 946663128 1219013352 1419994692 1828520028 2839989384 3657040056 9769037557 19538075114 29307112671 39076150228 58614225342 78152300456 87921338013 117228450684 175842676026 234456901368 263764014039 351685352052 527528028078 703370704104 1055056056156 2110112112312