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112312202130 = 233517914831567
BaseRepresentation
bin110100010011001010…
…1000011001110010010
3101201220020020000102000
41220212111003032102
53320003410432010
6123332344134430
711054125652352
oct1504625031622
9351806200360
10112312202130
11436a4345867
1219925167416
13a78b55504b
14561630ab62
152dc50c97c0
hex1a26543392

112312202130 has 128 divisors (see below), whose sum is σ = 301567795200. Its totient is φ = 29743526592.

The previous prime is 112312202099. The next prime is 112312202131. The reversal of 112312202130 is 31202213211.

112312202130 is a `hidden beast` number, since 1 + 1 + 231 + 220 + 213 + 0 = 666.

It is a super-2 number, since 2×1123122021302 (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 (112312202131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71672607 + ... + 71674173.

It is an arithmetic number, because the mean of its divisors is an integer number (2355998400).

Almost surely, 2112312202130 is an apocalyptic number.

112312202130 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 112312202130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150783897600).

112312202130 is an abundant number, since it is smaller than the sum of its proper divisors (189255593070).

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

112312202130 is a wasteful number, since it uses less digits than its factorization.

112312202130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112312202130 its reverse (31202213211), we get a palindrome (143514415341).

The spelling of 112312202130 in words is "one hundred twelve billion, three hundred twelve million, two hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 179 270 358 537 895 1074 1483 1567 1611 1790 2685 2966 3134 3222 4449 4701 4833 5370 7415 7835 8055 8898 9402 9666 13347 14103 14830 15670 16110 22245 23505 24165 26694 28206 40041 42309 44490 47010 48330 66735 70515 80082 84618 133470 141030 200205 211545 265457 280493 400410 423090 530914 560986 796371 841479 1327285 1402465 1592742 1682958 2323861 2389113 2524437 2654570 2804930 3981855 4207395 4647722 4778226 5048874 6971583 7167339 7573311 7963710 8414790 11619305 11945565 12622185 13943166 14334678 15146622 20914749 23238610 23891130 25244370 34857915 35836695 37866555 41829498 62744247 69715830 71673390 75733110 104573745 125488494 209147490 313721235 415971119 627442470 831942238 1247913357 2079855595 2495826714 3743740071 4159711190 6239566785 7487480142 11231220213 12479133570 18718700355 22462440426 37437400710 56156101065 112312202130