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112451705652 = 2231113273199347
BaseRepresentation
bin110100010111010100…
…1001101101100110100
3101202020221201112021010
41220232221031230310
53320300114040102
6123354250152220
711060441504226
oct1505651155464
9352227645233
10112451705652
1143766068930
1219963a22670
13a7b141a400
14562aa62416
152dd2483d6c
hex1a2ea4db34

112451705652 has 288 divisors, whose sum is σ = 316687795200. Its totient is φ = 30779274240.

The previous prime is 112451705651. The next prime is 112451705719. The reversal of 112451705652 is 256507154211.

112451705652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1124517056522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 112451705652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112451705651) 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 95 ways as a sum of consecutive naturals, for example, 324068143 + ... + 324068489.

It is an arithmetic number, because the mean of its divisors is an integer number (1099610400).

Almost surely, 2112451705652 is an apocalyptic number.

112451705652 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 112451705652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158343897600).

112451705652 is an abundant number, since it is smaller than the sum of its proper divisors (204236089548).

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

112451705652 is a wasteful number, since it uses less digits than its factorization.

112451705652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

Adding to 112451705652 its reverse (256507154211), we get a palindrome (368958859863).

The spelling of 112451705652 in words is "one hundred twelve billion, four hundred fifty-one million, seven hundred five thousand, six hundred fifty-two".