Search a number
-
+
112402630120 = 23511701364423
BaseRepresentation
bin110100010101110111…
…0000000010111101000
3101202010112101020021211
41220223232000113220
53320200033130440
6123345334242504
711056304406664
oct1505356002750
9352115336254
10112402630120
1143740399740
121994b4b6434
13a7a41c6a31
1456243298a4
152dccedceea
hex1a2bb805e8

112402630120 has 64 divisors (see below), whose sum is σ = 276291699840. Its totient is φ = 40815264000.

The previous prime is 112402630111. The next prime is 112402630121. The reversal of 112402630120 is 21036204211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 112402630091 and 112402630100.

It is not an unprimeable number, because it can be changed into a prime (112402630121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126229 + ... + 490651.

It is an arithmetic number, because the mean of its divisors is an integer number (4317057810).

Almost surely, 2112402630120 is an apocalyptic number.

112402630120 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 112402630120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138145849920).

112402630120 is an abundant number, since it is smaller than the sum of its proper divisors (163889069720).

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

112402630120 is a wasteful number, since it uses less digits than its factorization.

112402630120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365146 (or 365142 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 112402630120 its reverse (21036204211), we get a palindrome (133438834331).

The spelling of 112402630120 in words is "one hundred twelve billion, four hundred two million, six hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 701 1402 2804 3505 5608 7010 7711 14020 15422 28040 30844 38555 61688 77110 154220 308440 364423 728846 1457692 1822115 2915384 3644230 4008653 7288460 8017306 14576920 16034612 20043265 32069224 40086530 80173060 160346120 255460523 510921046 1021842092 1277302615 2043684184 2554605230 2810065753 5109210460 5620131506 10218420920 11240263012 14050328765 22480526024 28100657530 56201315060 112402630120