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113022012330 = 23252947299157
BaseRepresentation
bin110100101000010100…
…0110000101110101010
3101210201200212002221200
41221100220300232222
53322432113343310
6123531021545030
711110535153013
oct1512050605652
9353650762850
10113022012330
1143a28a85767
1219aa2a15176
13a87261a796
1456826ba00a
152e175889c0
hex1a50a30baa

113022012330 has 96 divisors (see below), whose sum is σ = 304087726800. Its totient is φ = 29090589696.

The previous prime is 113022012329. The next prime is 113022012331. The reversal of 113022012330 is 33210220311.

113022012330 is a `hidden beast` number, since 1 + 1 + 302 + 20 + 12 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (113022012329) and next prime (113022012331).

It can be written as a sum of positive squares in 8 ways, for example, as 4420787121 + 108601225209 = 66489^2 + 329547^2 .

It is a super-2 number, since 2×1130220123302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113022012331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12338112 + ... + 12347268.

Almost surely, 2113022012330 is an apocalyptic number.

113022012330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113022012330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152043863400).

113022012330 is an abundant number, since it is smaller than the sum of its proper divisors (191065714470).

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

113022012330 is a wasteful number, since it uses less digits than its factorization.

113022012330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113022012330 its reverse (33210220311), we get a palindrome (146232232641).

The spelling of 113022012330 in words is "one hundred thirteen billion, twenty-two million, twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 4729 9157 9458 14187 18314 23645 27471 28374 42561 45785 47290 54942 70935 82413 85122 91570 137141 137355 141870 164826 212805 265553 274282 274710 411423 412065 425610 531106 685705 796659 822846 824130 1234269 1327765 1371410 1593318 2057115 2389977 2468538 2655530 3983295 4114230 4779954 6171345 7966590 11949885 12342690 23899770 43303453 86606906 129910359 216517265 259820718 389731077 433034530 649551795 779462154 1255800137 1299103590 1948655385 2511600274 3767400411 3897310770 6279000685 7534800822 11302201233 12558001370 18837002055 22604402466 37674004110 56511006165 113022012330