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112121504 = 25112231259
BaseRepresentation
bin1101010111011…
…01011010100000
321210222100210022
412223231122200
5212200342004
615043053012
72531005565
oct653553240
9253870708
10112121504
1158320600
1231671168
131a2c8bb1
1410c6886c
159c9b2be
hex6aed6a0

112121504 has 72 divisors (see below), whose sum is σ = 253380960. Its totient is φ = 48709760.

The previous prime is 112121437. The next prime is 112121509. The reversal of 112121504 is 405121211.

It is not an unprimeable number, because it can be changed into a prime (112121509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88427 + ... + 89685.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2112121504 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 112121504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126690480).

112121504 is an abundant number, since it is smaller than the sum of its proper divisors (141259456).

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

112121504 is a wasteful number, since it uses less digits than its factorization.

112121504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 112121504 is about 10588.7442126061. The cubic root of 112121504 is about 482.2027005090.

Adding to 112121504 its reverse (405121211), we get a palindrome (517242715).

The spelling of 112121504 in words is "one hundred twelve million, one hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 121 176 184 242 253 352 368 484 506 736 968 1012 1259 1936 2024 2518 2783 3872 4048 5036 5566 8096 10072 11132 13849 20144 22264 27698 28957 40288 44528 55396 57914 89056 110792 115828 152339 221584 231656 304678 318527 443168 463312 609356 637054 926624 1218712 1274108 2437424 2548216 3503797 4874848 5096432 7007594 10192864 14015188 28030376 56060752 112121504