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112453334046 = 236292699887
BaseRepresentation
bin110100010111010111…
…1011011010000011110
3101202021001210021000000
41220232233123100132
53320301023142141
6123354345115130
711060461365564
oct1505657332036
9352231707000
10112453334046
1143766a80309
1219964488aa6
13a7b186a661
14562ad67a34
152dd26a65b6
hex1a2ebdb41e

112453334046 has 112 divisors (see below), whose sum is σ = 262624291200. Its totient is φ = 36053688384.

The previous prime is 112453334041. The next prime is 112453334171. The reversal of 112453334046 is 640433354211.

112453334046 is a `hidden beast` number, since 1 + 1 + 245 + 3 + 3 + 3 + 404 + 6 = 666.

It is a super-2 number, since 2×1124533340462 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112453334046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112453334041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11368915 + ... + 11378801.

Almost surely, 2112453334046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112453334046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131312145600).

112453334046 is an abundant number, since it is smaller than the sum of its proper divisors (150170957154).

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

112453334046 is an equidigital number, since it uses as much as digits as its factorization.

112453334046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 112453334046 its reverse (640433354211), we get a palindrome (752886688257).

The spelling of 112453334046 in words is "one hundred twelve billion, four hundred fifty-three million, three hundred thirty-four thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 269 486 522 538 729 783 807 1458 1566 1614 2349 2421 4698 4842 7047 7263 7801 9887 14094 14526 15602 19774 21141 21789 23403 29661 42282 43578 46806 59322 65367 70209 88983 130734 140418 177966 196101 210627 266949 286723 392202 421254 533898 573446 631881 800847 860169 1263762 1601694 1720338 1895643 2402541 2580507 2659603 3791286 4805082 5161014 5319206 5686929 7207623 7741521 7978809 11373858 14415246 15483042 15957618 23224563 23936427 46449126 47872854 69673689 71809281 77128487 139347378 143618562 154256974 209021067 215427843 231385461 418042134 430855686 462770922 646283529 694156383 1292567058 1388312766 1938850587 2082469149 3877701174 4164938298 6247407447 12494814894 18742222341 37484444682 56226667023 112453334046