Search a number
-
+
112302300132 = 2232112946321121
BaseRepresentation
bin110100010010110111…
…1010001101111100100
3101201212112120221102100
41220211233101233210
53314443342101012
6123331352012100
711053645541511
oct1504557215744
9351775527370
10112302300132
11436997a22a0
1219921991030
13a789498c89
145614c90308
152dc42c08dc
hex1a25bd1be4

112302300132 has 144 divisors (see below), whose sum is σ = 321067918080. Its totient is φ = 32784998400.

The previous prime is 112302300107. The next prime is 112302300181. The reversal of 112302300132 is 231003203211.

112302300132 is a `hidden beast` number, since 1 + 1 + 230 + 2 + 300 + 132 = 666.

It is a super-2 number, since 2×1123023001322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5306532 + ... + 5327652.

It is an arithmetic number, because the mean of its divisors is an integer number (2229638320).

Almost surely, 2112302300132 is an apocalyptic number.

112302300132 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 112302300132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160533959040).

112302300132 is an abundant number, since it is smaller than the sum of its proper divisors (208765617948).

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

112302300132 is a wasteful number, since it uses less digits than its factorization.

112302300132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21634 (or 21629 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112302300132 its reverse (231003203211), we get a palindrome (343305503343).

The spelling of 112302300132 in words is "one hundred twelve billion, three hundred two million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 463 522 638 926 957 1044 1276 1389 1852 1914 2778 2871 3828 4167 5093 5556 5742 8334 10186 11484 13427 15279 16668 20372 21121 26854 30558 40281 42242 45837 53708 61116 63363 80562 84484 91674 120843 126726 147697 161124 183348 190089 232331 241686 253452 295394 380178 443091 464662 483372 590788 612509 696993 760356 886182 929324 1225018 1329273 1393986 1772364 1837527 2090979 2450036 2658546 2787972 3675054 4181958 5317092 5512581 6737599 7350108 8363916 9779023 11025162 13475198 19558046 20212797 22050324 26950396 29337069 39116092 40425594 58674138 60638391 80851188 88011207 107569253 117348276 121276782 176022414 215138506 242553564 283591667 322707759 352044828 430277012 567183334 645415518 850775001 968123277 1134366668 1290831036 1701550002 1936246554 2552325003 3119508337 3403100004 3872493108 5104650006 6239016674 9358525011 10209300012 12478033348 18717050022 28075575033 37434100044 56151150066 112302300132