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113000113212 = 223729319114537
BaseRepresentation
bin110100100111101010…
…1001110010000111100
3101210200011122112000020
41221033111032100330
53322411012110322
6123524520332140
711110151054130
oct1511725162074
9353604575006
10113000113212
1143a17688618
1219a97614050
13a86ac20b1c
14567d8193c0
152e156b005c
hex1a4f54e43c

113000113212 has 96 divisors (see below), whose sum is σ = 311843589120. Its totient is φ = 31160532480.

The previous prime is 113000113199. The next prime is 113000113229. The reversal of 113000113212 is 212311000311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113000113191 and 113000113200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7766008 + ... + 7780544.

It is an arithmetic number, because the mean of its divisors is an integer number (3248370720).

Almost surely, 2113000113212 is an apocalyptic number.

113000113212 is a gapful number since it is divisible by the number (12) 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 113000113212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155921794560).

113000113212 is an abundant number, since it is smaller than the sum of its proper divisors (198843475908).

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

113000113212 is a wasteful number, since it uses less digits than its factorization.

113000113212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17771 (or 17769 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113000113212 its reverse (212311000311), we get a palindrome (325311113523).

The spelling of 113000113212 in words is "one hundred thirteen billion, one hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 3191 6382 9573 12764 14537 19146 22337 29074 38292 43611 44674 58148 67011 87222 89348 92539 101759 134022 174444 185078 203518 268044 277617 305277 370156 407036 421573 555234 610554 647773 843146 1110468 1221108 1264719 1295546 1686292 1943319 2529438 2591092 2951011 3886638 5058876 5902022 7773276 8853033 11804044 17706066 35412132 46387567 92775134 139162701 185550268 278325402 324712969 556650804 649425938 974138907 1298851876 1345239443 1948277814 2690478886 3896555628 4035718329 5380957772 8071436658 9416676101 16142873316 18833352202 28250028303 37666704404 56500056606 113000113212