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112453631352 = 233279197100357
BaseRepresentation
bin110100010111011000…
…0100011110101111000
3101202021002100100211100
41220232300203311320
53320301112200402
6123354355331400
711060464044426
oct1505660436570
9352232310740
10112453631352
1143767163717
12199645b0b60
13a7b1942a8a
14562b004116
152dd271471c
hex1a2ec23d78

112453631352 has 96 divisors (see below), whose sum is σ = 309985790400. Its totient is φ = 36821820672.

The previous prime is 112453631341. The next prime is 112453631357. The reversal of 112453631352 is 253136354211.

112453631352 is a `hidden beast` number, since 1 + 1 + 245 + 3 + 63 + 1 + 352 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112453631357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1070358 + ... + 1170714.

It is an arithmetic number, because the mean of its divisors is an integer number (3229018650).

Almost surely, 2112453631352 is an apocalyptic number.

112453631352 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 112453631352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154992895200).

112453631352 is an abundant number, since it is smaller than the sum of its proper divisors (197532159048).

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

112453631352 is a wasteful number, since it uses less digits than its factorization.

112453631352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100645 (or 100638 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 112453631352 its reverse (253136354211), we get a palindrome (365589985563).

The spelling of 112453631352 in words is "one hundred twelve billion, four hundred fifty-three million, six hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 197 237 316 394 474 591 632 711 788 948 1182 1422 1576 1773 1896 2364 2844 3546 4728 5688 7092 14184 15563 31126 46689 62252 93378 100357 124504 140067 186756 200714 280134 301071 373512 401428 560268 602142 802856 903213 1120536 1204284 1806426 2408568 3612852 7225704 7928203 15856406 19770329 23784609 31712812 39540658 47569218 59310987 63425624 71353827 79081316 95138436 118621974 142707654 158162632 177932961 190276872 237243948 285415308 355865922 474487896 570830616 711731844 1423463688 1561855991 3123711982 4685567973 6247423964 9371135946 12494847928 14056703919 18742271892 28113407838 37484543784 56226815676 112453631352