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112354242100 = 225213914535563
BaseRepresentation
bin110100010100011010…
…1011010111000110100
3101202000011022212101221
41220220311122320310
53320100141221400
6123340445200124
711055146205022
oct1505065327064
9352004285357
10112354242100
114371604a041
1219937260044
13a797184279
14561bb31712
152dc8b30c1a
hex1a28d5ae34

112354242100 has 72 divisors (see below), whose sum is σ = 245775901280. Its totient is φ = 44579652480.

The previous prime is 112354242079. The next prime is 112354242113. The reversal of 112354242100 is 1242453211.

112354242100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20193919 + ... + 20199481.

Almost surely, 2112354242100 is an apocalyptic number.

112354242100 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 112354242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122887950640).

112354242100 is an abundant number, since it is smaller than the sum of its proper divisors (133421659180).

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

112354242100 is a wasteful number, since it uses less digits than its factorization.

112354242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7169 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 112354242100 its reverse (1242453211), we get a palindrome (113596695311).

The spelling of 112354242100 in words is "one hundred twelve billion, three hundred fifty-four million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 1453 2780 2906 3475 5563 5812 6950 7265 11126 13900 14530 22252 27815 29060 36325 55630 72650 111260 139075 145300 201967 278150 403934 556300 773257 807868 1009835 1546514 2019670 3093028 3866285 4039340 5049175 7732570 8083039 10098350 15465140 16166078 19331425 20196700 32332156 38662850 40415195 77325700 80830390 161660780 202075975 404151950 808303900 1123542421 2247084842 4494169684 5617712105 11235424210 22470848420 28088560525 56177121050 112354242100