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112345540000 = 25547376949
BaseRepresentation
bin110100010100001010…
…0001110010110100000
3101201222112221202100221
41220220110032112200
53320040424240000
6123335534452424
711055012222331
oct1505024162640
9351875852327
10112345540000
1143711146021
1219934364114
13a7954283b5
14561a908288
152dc7eb261a
hex1a2850e5a0

112345540000 has 120 divisors (see below), whose sum is σ = 280176642900. Its totient is φ = 44322048000.

The previous prime is 112345539953. The next prime is 112345540051. The reversal of 112345540000 is 45543211.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2755410064 + 109590129936 = 52492^2 + 331044^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1421526 + ... + 1498474.

Almost surely, 2112345540000 is an apocalyptic number.

112345540000 is a gapful number since it is divisible by the number (10) 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 112345540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140088321450).

112345540000 is an abundant number, since it is smaller than the sum of its proper divisors (167831102900).

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

112345540000 is an frugal number, since it uses more digits than its factorization.

112345540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77052 (or 77029 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 112345540000 in words is "one hundred twelve billion, three hundred forty-five million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 625 730 800 1000 1168 1250 1460 1825 2000 2336 2500 2920 3650 4000 5000 5840 7300 9125 10000 11680 14600 18250 20000 29200 36500 45625 58400 73000 76949 91250 146000 153898 182500 292000 307796 365000 384745 615592 730000 769490 1231184 1460000 1538980 1923725 2462368 3077960 3847450 5617277 6155920 7694900 9618625 11234554 12311840 15389800 19237250 22469108 28086385 30779600 38474500 44938216 48093125 56172770 61559200 76949000 89876432 96186250 112345540 140431925 153898000 179752864 192372500 224691080 280863850 307796000 384745000 449382160 561727700 702159625 769490000 898764320 1123455400 1404319250 1538980000 2246910800 2808638500 3510798125 4493821600 5617277000 7021596250 11234554000 14043192500 22469108000 28086385000 56172770000 112345540000