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112000012124 = 227111367417493
BaseRepresentation
bin110100001001110111…
…0001000111101011100
3101201002110210010020012
41220103232020331130
53313334000341444
6123241352542352
711043315252410
oct1502356107534
9351073703205
10112000012124
11435540a58a0
12198586b19b8
13a73b979930
1455c6a82d40
152da79adb9e
hex1a13b88f5c

112000012124 has 96 divisors (see below), whose sum is σ = 267089281536. Its totient is φ = 39678439680.

The previous prime is 112000012099. The next prime is 112000012129. The reversal of 112000012124 is 421210000211.

It is a happy number.

It is a super-2 number, since 2×1120000121242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 112000012099 and 112000012108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000012129) 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 31 ways as a sum of consecutive naturals, for example, 59522 + ... + 477014.

It is an arithmetic number, because the mean of its divisors is an integer number (2782180016).

Almost surely, 2112000012124 is an apocalyptic number.

112000012124 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 112000012124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133544640768).

112000012124 is an abundant number, since it is smaller than the sum of its proper divisors (155089269412).

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

112000012124 is a wasteful number, since it uses less digits than its factorization.

112000012124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417595 (or 417593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112000012124 its reverse (421210000211), we get a palindrome (533210012335).

The spelling of 112000012124 in words is "one hundred twelve billion, twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 67 77 91 134 143 154 182 268 286 308 364 469 572 737 871 938 1001 1474 1742 1876 2002 2948 3484 4004 5159 6097 9581 10318 12194 19162 20636 24388 38324 67067 134134 268268 417493 834986 1669972 2922451 4592423 5427409 5844902 9184846 10854818 11689804 18369692 21709636 27972031 32146961 37991863 55944062 59701499 64293922 75983726 111888124 119402998 128587844 151967452 195804217 238805996 307692341 363636403 391608434 417910493 615384682 727272806 783216868 835820986 1230769364 1454545612 1671641972 2153846387 2545454821 4000000433 4307692774 5090909642 8000000866 8615385548 10181819284 16000001732 28000003031 56000006062 112000012124