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112101350004 = 2235760727143
BaseRepresentation
bin110100001100111000…
…0101101101001110100
3101201100112110121200000
41220121300231221310
53314040421200004
6123255412551300
711045655516210
oct1503160555164
9351315417600
10112101350004
11435a6320506
1219886622530
13a75696b387
1455d6301940
152db1829c39
hex1a19c2da74

112101350004 has 144 divisors (see below), whose sum is σ = 336408403968. Its totient is φ = 31975013088.

The previous prime is 112101349981. The next prime is 112101350027. The reversal of 112101350004 is 400053101211.

It is an interprime number because it is at equal distance from previous prime (112101349981) and next prime (112101350027).

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 47 ways as a sum of consecutive naturals, for example, 4116457 + ... + 4143599.

It is an arithmetic number, because the mean of its divisors is an integer number (2336169472).

Almost surely, 2112101350004 is an apocalyptic number.

112101350004 is a gapful number since it is divisible by the number (14) 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 112101350004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168204201984).

112101350004 is an abundant number, since it is smaller than the sum of its proper divisors (224307053964).

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

112101350004 is a wasteful number, since it uses less digits than its factorization.

112101350004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27776 (or 27762 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 112101350004 its reverse (400053101211), we get a palindrome (512154451215).

The spelling of 112101350004 in words is "one hundred twelve billion, one hundred one million, three hundred fifty thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 607 756 972 1134 1214 1701 1821 2268 2428 3402 3642 4249 5463 6804 7284 8498 10926 12747 16389 16996 21852 25494 27143 32778 38241 49167 50988 54286 65556 76482 81429 98334 108572 114723 147501 152964 162858 190001 196668 229446 244287 295002 325716 344169 380002 458892 488574 570003 590004 688338 732861 760004 977148 1032507 1140006 1376676 1465722 1710009 2065014 2198583 2280012 2931444 3420018 4130028 4397166 5130027 6595749 6840036 8794332 10260054 13191498 15390081 16475801 20520108 26382996 30780162 32951602 46170243 49427403 61560324 65903204 92340486 98854806 115330607 148282209 184680972 197709612 230661214 296564418 345991821 444846627 461322428 593128836 691983642 889693254 1037975463 1334539881 1383967284 1779386508 2075950926 2669079762 3113926389 4003619643 4151901852 5338159524 6227852778 8007239286 9341779167 12455705556 16014478572 18683558334 28025337501 37367116668 56050675002 112101350004