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112420002440 = 23517170996737
BaseRepresentation
bin110100010110011000…
…0010001101010001000
3101202011202001211122002
41220230300101222020
53320214010034230
6123351154450132
711056605153104
oct1505460215210
9352152054562
10112420002440
114374a184829
1219955293948
13a7a799a105
14562676c904
152dce7c0545
hex1a2cc11a88

112420002440 has 64 divisors (see below), whose sum is σ = 267983607600. Its totient is φ = 42297622528.

The previous prime is 112420002433. The next prime is 112420002511. The reversal of 112420002440 is 44200024211.

112420002440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 86839838596 + 25580163844 = 294686^2 + 159938^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113752 + ... + 1210488.

Almost surely, 2112420002440 is an apocalyptic number.

112420002440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112420002440 is an abundant number, since it is smaller than the sum of its proper divisors (155563605160).

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

112420002440 is a wasteful number, since it uses less digits than its factorization.

112420002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98474 (or 98470 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 112420002440 its reverse (44200024211), we get a palindrome (156620026651).

The spelling of 112420002440 in words is "one hundred twelve billion, four hundred twenty million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1709 3418 6836 8545 13672 17090 29053 34180 58106 68360 96737 116212 145265 193474 232424 290530 386948 483685 581060 773896 967370 1162120 1644529 1934740 3289058 3869480 6578116 8222645 13156232 16445290 32890580 65781160 165323533 330647066 661294132 826617665 1322588264 1653235330 2810500061 3306470660 5621000122 6612941320 11242000244 14052500305 22484000488 28105000610 56210001220 112420002440