Search a number
-
+
112537273100 = 225271249128717
BaseRepresentation
bin110100011001110111…
…1101000001100001100
3101202110220201210201212
41220303233220030030
53320434020214400
6123410544153552
711062531016060
oct1506357501414
9352426653655
10112537273100
11437aa3a1a2a
12199886088b8
13a7c6079935
145638177aa0
152dd9c37335
hex1a33be830c

112537273100 has 72 divisors (see below), whose sum is σ = 279318060000. Its totient is φ = 38553016320.

The previous prime is 112537273097. The next prime is 112537273117. The reversal of 112537273100 is 1372735211.

It is a super-2 number, since 2×1125372731002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809942 + ... + 938658.

It is an arithmetic number, because the mean of its divisors is an integer number (3879417500).

Almost surely, 2112537273100 is an apocalyptic number.

112537273100 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 112537273100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139659030000).

112537273100 is an abundant number, since it is smaller than the sum of its proper divisors (166780786900).

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

112537273100 is a wasteful number, since it uses less digits than its factorization.

112537273100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129987 (or 129980 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 112537273100 in words is "one hundred twelve billion, five hundred thirty-seven million, two hundred seventy-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1249 2498 4996 6245 8743 12490 17486 24980 31225 34972 43715 62450 87430 124900 128717 174860 218575 257434 437150 514868 643585 874300 901019 1287170 1802038 2574340 3217925 3604076 4505095 6435850 9010190 12871700 18020380 22525475 45050950 90101900 160767533 321535066 643070132 803837665 1125372731 1607675330 2250745462 3215350660 4019188325 4501490924 5626863655 8038376650 11253727310 16076753300 22507454620 28134318275 56268636550 112537273100