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112601501676 = 22346712494153
BaseRepresentation
bin110100011011110010…
…0101000111111101100
3101202122101120221210000
41220313210220333230
53321101441023201
6123421200544300
711064240654306
oct1506744507754
9352571527700
10112601501676
11438326808a4
12199a6022090
13a806477501
1456428d6976
152de06c2d86
hex1a37928fec

112601501676 has 120 divisors (see below), whose sum is σ = 299067230000. Its totient is φ = 36935129088.

The previous prime is 112601501647. The next prime is 112601501693. The reversal of 112601501676 is 676105106211.

It is a happy number.

112601501676 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112601501676.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27111216 + ... + 27115368.

Almost surely, 2112601501676 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 112601501676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149533615000).

112601501676 is an abundant number, since it is smaller than the sum of its proper divisors (186465728324).

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

112601501676 is a wasteful number, since it uses less digits than its factorization.

112601501676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 112601501676 its reverse (676105106211), we get a palindrome (788706607887).

The spelling of 112601501676 in words is "one hundred twelve billion, six hundred one million, five hundred one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 402 603 804 1206 1249 1809 2412 2498 3618 3747 4153 4996 5427 7236 7494 8306 10854 11241 12459 14988 16612 21708 22482 24918 33723 37377 44964 49836 67446 74754 83683 101169 112131 134892 149508 167366 202338 224262 251049 278251 334732 336393 404676 448524 502098 556502 672786 753147 834753 1004196 1113004 1345572 1506294 1669506 2259441 2504259 3012588 3339012 4518882 5008518 5187097 6778323 7512777 9037764 10017036 10374194 13556646 15025554 15561291 20748388 22538331 27113292 30051108 31122582 45076662 46683873 62245164 90153324 93367746 140051619 186735492 280103238 347535499 420154857 560206476 695070998 840309714 1042606497 1390141996 1680619428 2085212994 3127819491 4170425988 6255638982 9383458473 12511277964 18766916946 28150375419 37533833892 56300750838 112601501676