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113234127552 = 2635713293189
BaseRepresentation
bin110100101110101000…
…1111010101011000000
3101211021110222200100000
41221131101322223000
53323400414040202
6124004040200000
711116022126520
oct1513521725300
9354243880300
10113234127552
1144027792aa7
1219b41a69000
13a8a7557350
1456a2933680
152e2aed791c
hex1a5d47aac0

113234127552 has 1344 divisors, whose sum is σ = 447339110400. Its totient is φ = 27590492160.

The previous prime is 113234127547. The next prime is 113234127571. The reversal of 113234127552 is 255721432311.

113234127552 is a `hidden beast` number, since 11 + 32 + 3 + 41 + 27 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1272293524 + ... + 1272293612.

It is an arithmetic number, because the mean of its divisors is an integer number (332841600).

Almost surely, 2113234127552 is an apocalyptic number.

113234127552 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 113234127552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223669555200).

113234127552 is an abundant number, since it is smaller than the sum of its proper divisors (334104982848).

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

113234127552 is a wasteful number, since it uses less digits than its factorization.

113234127552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

Adding to 113234127552 its reverse (255721432311), we get a palindrome (368955559863).

The spelling of 113234127552 in words is "one hundred thirteen billion, two hundred thirty-four million, one hundred twenty-seven thousand, five hundred fifty-two".