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113220851744 = 257111323227677
BaseRepresentation
bin110100101110001111…
…1010001100000100000
3101211020120000012100102
41221130133101200200
53323334014223434
6124002443441532
711115501234530
oct1513437214040
9354216005312
10113220851744
1144020245760
1219b395262a8
13a8a4889740
1456a0c794c0
152e29c6407e
hex1a5c7d1820

113220851744 has 384 divisors, whose sum is σ = 314134474752. Its totient is φ = 38719549440.

The previous prime is 113220851669. The next prime is 113220851801. The reversal of 113220851744 is 447158022311.

It is a happy number.

It is a super-2 number, since 2×1132208517442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113220851698 and 113220851707.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167238734 + ... + 167239410.

It is an arithmetic number, because the mean of its divisors is an integer number (818058528).

Almost surely, 2113220851744 is an apocalyptic number.

113220851744 is a gapful number since it is divisible by the number (14) 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 113220851744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157067237376).

113220851744 is an abundant number, since it is smaller than the sum of its proper divisors (200913623008).

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

113220851744 is a wasteful number, since it uses less digits than its factorization.

113220851744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 113220851744 in words is "one hundred thirteen billion, two hundred twenty million, eight hundred fifty-one thousand, seven hundred forty-four".