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112203110112 = 25319127484369
BaseRepresentation
bin110100001111111010…
…0111001011011100000
3101201121121221120021220
41220133310321123200
53314242444010422
6123313450015040
711051332462002
oct1503764713340
9351547846256
10112203110112
1143648804375
12198b4717480
13a771a7a062
145605a30372
152dba72ae5c
hex1a1fd396e0

112203110112 has 96 divisors (see below), whose sum is σ = 312476774400. Its totient is φ = 35153491968.

The previous prime is 112203110081. The next prime is 112203110119. The reversal of 112203110112 is 211011302211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 112203110091 and 112203110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112203110119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10537 + ... + 473832.

It is an arithmetic number, because the mean of its divisors is an integer number (3254966400).

Almost surely, 2112203110112 is an apocalyptic number.

112203110112 is a gapful number since it is divisible by the number (12) 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 112203110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156238387200).

112203110112 is an abundant number, since it is smaller than the sum of its proper divisors (200273664288).

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

112203110112 is a wasteful number, since it uses less digits than its factorization.

112203110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484528 (or 484520 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 112203110112 its reverse (211011302211), we get a palindrome (323214412323).

The spelling of 112203110112 in words is "one hundred twelve billion, two hundred three million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 127 152 228 254 304 381 456 508 608 762 912 1016 1524 1824 2032 2413 3048 4064 4826 6096 7239 9652 12192 14478 19304 28956 38608 57912 77216 115824 231648 484369 968738 1453107 1937476 2906214 3874952 5812428 7749904 9203011 11624856 15499808 18406022 23249712 27609033 36812044 46499424 55218066 61514863 73624088 110436132 123029726 147248176 184544589 220872264 246059452 294496352 369089178 441744528 492118904 738178356 883489056 984237808 1168782397 1476356712 1968475616 2337564794 2952713424 3506347191 4675129588 5905426848 7012694382 9350259176 14025388764 18700518352 28050777528 37401036704 56101555056 112203110112