Search a number
-
+
113122323300012 = 223132517639378193
BaseRepresentation
bin11001101110001001010111…
…111001010111111010101100
3112211112101111012200112112020
4121232021113321113322230
5104311344004231100022
61040331402232110140
732553550424622525
oct3156112771277254
9484471435615466
10113122323300012
11330539a9456744
121082ba45235350
134b1750a42b050
141dd121495584c
15d12887d8235c
hex66e257e57eac

113122323300012 has 96 divisors (see below), whose sum is σ = 285426702973440. Its totient is φ = 34663565952000.

The previous prime is 113122323300011. The next prime is 113122323300017. The reversal of 113122323300012 is 210003323221311.

It is not an unprimeable number, because it can be changed into a prime (113122323300011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298923588 + ... + 299301780.

It is an arithmetic number, because the mean of its divisors is an integer number (2973194822640).

Almost surely, 2113122323300012 is an apocalyptic number.

113122323300012 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 113122323300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142713351486720).

113122323300012 is an abundant number, since it is smaller than the sum of its proper divisors (172304379673428).

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

113122323300012 is a wasteful number, since it uses less digits than its factorization.

113122323300012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386103 (or 386101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 113122323300012 its reverse (210003323221311), we get a palindrome (323125646521323).

The spelling of 113122323300012 in words is "one hundred thirteen trillion, one hundred twenty-two billion, three hundred twenty-three million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 251 502 753 1004 1506 3012 3263 6526 7639 9789 13052 15278 19578 22917 30556 39156 45834 91668 99307 198614 297921 378193 397228 595842 756386 1134579 1191684 1512772 1917389 2269158 3834778 4538316 4916509 5752167 7669556 9833018 11504334 14749527 19666036 23008668 24926057 29499054 49852114 58998108 74778171 94926443 99704228 149556342 189852886 284779329 299112684 379705772 569558658 1139117316 1234043759 2468087518 2889016327 3702131277 4936175036 5778032654 7404262554 8667048981 11556065308 14808525108 17334097962 34668195924 37557212251 75114424502 112671636753 150228849004 225343273506 450686547012 725143098077 1450286196154 2175429294231 2900572392308 4350858588462 8701717176924 9426860275001 18853720550002 28280580825003 37707441100004 56561161650006 113122323300012