Search a number
-
+
112523042232 = 23322383818659
BaseRepresentation
bin110100011001011100…
…1010101110110111000
3101202102220221210122200
41220302321111312320
53320421344322412
6123405315150200
711062266035466
oct1506271256670
9352386853580
10112523042232
11437a2362087
12199838a5360
13a7c31363c3
145636311836
152dd88759dc
hex1a32e55db8

112523042232 has 96 divisors (see below), whose sum is σ = 321831619200. Its totient is φ = 35444616768.

The previous prime is 112523042183. The next prime is 112523042273. The reversal of 112523042232 is 232240325211.

112523042232 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 230 + 422 + 3 + 2 = 666.

It is a super-2 number, since 2×1125230422322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112523042196 and 112523042205.

It is a congruent number.

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, 271882 + ... + 546777.

It is an arithmetic number, because the mean of its divisors is an integer number (3352412700).

Almost surely, 2112523042232 is an apocalyptic number.

112523042232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112523042232 is an abundant number, since it is smaller than the sum of its proper divisors (209308576968).

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

112523042232 is a wasteful number, since it uses less digits than its factorization.

112523042232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818777 (or 818770 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 112523042232 its reverse (232240325211), we get a palindrome (344763367443).

The spelling of 112523042232 in words is "one hundred twelve billion, five hundred twenty-three million, forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 83 92 138 166 184 207 249 276 332 414 498 552 664 747 828 996 1494 1656 1909 1992 2988 3818 5727 5976 7636 11454 15272 17181 22908 34362 45816 68724 137448 818659 1637318 2455977 3274636 4911954 6549272 7367931 9823908 14735862 18829157 19647816 29471724 37658314 56487471 58943448 67948697 75316628 112974942 135897394 150633256 169462413 203846091 225949884 271794788 338924826 407692182 451899768 543589576 611538273 677849652 815384364 1223076546 1355699304 1562820031 1630768728 2446153092 3125640062 4688460093 4892306184 6251280124 9376920186 12502560248 14065380279 18753840372 28130760558 37507680744 56261521116 112523042232