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113112221220 = 223253716983817
BaseRepresentation
bin110100101011000000…
…0111000011000100100
3101210221222121012021200
41221112000320120210
53323123212034340
6123544003242500
711113012005465
oct1512600703044
9353858535250
10113112221220
1143a74999a69
1219b09079430
13a88821381b
14569067cd6c
152e20457330
hex1a56038624

113112221220 has 72 divisors (see below), whose sum is σ = 352380255864. Its totient is φ = 29348034048.

The previous prime is 113112221177. The next prime is 113112221221. The reversal of 113112221220 is 22122211311.

113112221220 is a `hidden beast` number, since 11 + 311 + 222 + 122 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32242511844 + 80869709376 = 179562^2 + 284376^2 .

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 = 113112221193 and 113112221202.

It is not an unprimeable number, because it can be changed into a prime (113112221221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8485249 + ... + 8498568.

Almost surely, 2113112221220 is an apocalyptic number.

113112221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113112221220 is an abundant number, since it is smaller than the sum of its proper divisors (239268034644).

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

113112221220 is a wasteful number, since it uses less digits than its factorization.

113112221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16983869 (or 16983864 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 113112221220 its reverse (22122211311), we get a palindrome (135234432531).

Subtracting from 113112221220 its reverse (22122211311), we obtain a palindrome (90990009909).

The spelling of 113112221220 in words is "one hundred thirteen billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 16983817 33967634 50951451 67935268 84919085 101902902 152854353 169838170 203805804 254757255 305708706 339676340 509514510 611417412 628401229 764271765 1019029020 1256802458 1528543530 1885203687 2513604916 3057087060 3142006145 3770407374 5655611061 6284012290 7540814748 9426018435 11311222122 12568024580 18852036870 22622444244 28278055305 37704073740 56556110610 113112221220