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112300220034 = 23237168618949
BaseRepresentation
bin110100010010110011…
…1010101111010000010
3101201212101200021001200
41220211213111322002
53314442324020114
6123331235242030
711053622056212
oct1504547257202
9351771607050
10112300220034
1143698601502
1219921149316
13a788c1b252
1456148ac242
152dc400e409
hex1a259d5e82

112300220034 has 24 divisors (see below), whose sum is σ = 249893283900. Its totient is φ = 36421692768.

The previous prime is 112300220023. The next prime is 112300220047. The reversal of 112300220034 is 430022003211.

112300220034 is a `hidden beast` number, since 112 + 300 + 220 + 0 + 34 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78537260025 + 33762960009 = 280245^2 + 183747^2 .

It is a super-2 number, since 2×1123002200342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112300219989 and 112300220016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84308809 + ... + 84310140.

Almost surely, 2112300220034 is an apocalyptic number.

112300220034 is an abundant number, since it is smaller than the sum of its proper divisors (137593063866).

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

112300220034 is a wasteful number, since it uses less digits than its factorization.

112300220034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168618994 (or 168618991 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112300220034 its reverse (430022003211), we get a palindrome (542322223245).

The spelling of 112300220034 in words is "one hundred twelve billion, three hundred million, two hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 168618949 337237898 505856847 1011713694 1517570541 3035141082 6238901113 12477802226 18716703339 37433406678 56150110017 112300220034