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112267455900 = 223521036135927
BaseRepresentation
bin110100010001110101…
…0010110110110011100
3101201210010000200010020
41220203222112312130
53314410432042100
6123324105112140
711053043426025
oct1504352266634
9351703020106
10112267455900
1143681063306
1219912188650
13a7821b90a2
1456103bdc4c
152dc11db5a0
hex1a23a96d9c

112267455900 has 144 divisors (see below), whose sum is σ = 328571303424. Its totient is φ = 29593969920.

The previous prime is 112267455899. The next prime is 112267455901. The reversal of 112267455900 is 9554762211.

It is an interprime number because it is at equal distance from previous prime (112267455899) and next prime (112267455901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112267455901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18938737 + ... + 18944663.

Almost surely, 2112267455900 is an apocalyptic number.

112267455900 is a gapful number since it is divisible by the number (10) 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 112267455900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164285651712).

112267455900 is an abundant number, since it is smaller than the sum of its proper divisors (216303847524).

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

112267455900 is a wasteful number, since it uses less digits than its factorization.

112267455900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6660 (or 6653 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 112267455900 in words is "one hundred twelve billion, two hundred sixty-seven million, four hundred fifty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 613 618 1030 1226 1236 1545 1839 2060 2452 2575 3065 3090 3678 5150 5927 6130 6180 7356 7725 9195 10300 11854 12260 15325 15450 17781 18390 23708 29635 30650 30900 35562 36780 45975 59270 61300 63139 71124 88905 91950 118540 126278 148175 177810 183900 189417 252556 296350 315695 355620 378834 444525 592700 610481 631390 757668 889050 947085 1220962 1262780 1578475 1778100 1831443 1894170 2441924 3052405 3156950 3633251 3662886 3788340 4735425 6104810 6313900 7266502 7325772 9157215 9470850 10899753 12209620 14533004 15262025 18166255 18314430 18941700 21799506 30524050 36332510 36628860 43599012 45786075 54498765 61048100 72665020 90831275 91572150 108997530 181662550 183144300 217995060 272493825 363325100 374224853 544987650 748449706 1089975300 1122674559 1496899412 1871124265 2245349118 3742248530 4490698236 5613372795 7484497060 9355621325 11226745590 18711242650 22453491180 28066863975 37422485300 56133727950 112267455900