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113113324324 = 227111367421643
BaseRepresentation
bin110100101011000010…
…1000101101100100100
3101210222001200020110101
41221112011011230210
53323124002334244
6123544043033444
711113024251520
oct1512605055444
9353861606411
10113113324324
1143a75582820
1219b0950b884
13a88850b950
145690888d80
152e205c40d4
hex1a56145b24

113113324324 has 96 divisors (see below), whose sum is σ = 269744219136. Its totient is φ = 40072855680.

The previous prime is 113113324307. The next prime is 113113324349. The reversal of 113113324324 is 423423311311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 113113324292 and 113113324301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57447 + ... + 479089.

It is an arithmetic number, because the mean of its divisors is an integer number (2809835616).

Almost surely, 2113113324324 is an apocalyptic number.

113113324324 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 113113324324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134872109568).

113113324324 is an abundant number, since it is smaller than the sum of its proper divisors (156630894812).

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

113113324324 is a wasteful number, since it uses less digits than its factorization.

113113324324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421745 (or 421743 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

Adding to 113113324324 its reverse (423423311311), we get a palindrome (536536635635).

The spelling of 113113324324 in words is "one hundred thirteen billion, one hundred thirteen million, three hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 67 77 91 134 143 154 182 268 286 308 364 469 572 737 871 938 1001 1474 1742 1876 2002 2948 3484 4004 5159 6097 9581 10318 12194 19162 20636 24388 38324 67067 134134 268268 421643 843286 1686572 2951501 4638073 5481359 5903002 9276146 10962718 11806004 18552292 21925436 28250081 32466511 38369513 56500162 60294949 64933022 76739026 113000324 120589898 129866044 153478052 197750567 241179796 310750891 367251053 395501134 422064643 621501782 734502106 791002268 844129286 1243003564 1469004212 1688258572 2175256237 2570757371 4039761583 4350512474 5141514742 8079523166 8701024948 10283029484 16159046332 28278331081 56556662162 113113324324