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113013212120 = 23567227185767
BaseRepresentation
bin110100101000000011…
…1001100001111011000
3101210201002022000022222
41221100013030033120
53322422340241440
6123530105203212
711110400311304
oct1512007141730
9353632260288
10113013212120
1143a24014a66
1219a9ba90508
13a870859063
145681468d04
152e168eb2b5
hex1a501cc3d8

113013212120 has 64 divisors (see below), whose sum is σ = 259213236480. Its totient is φ = 44334170496.

The previous prime is 113013212113. The next prime is 113013212129. The reversal of 113013212120 is 21212310311.

It is a super-2 number, since 2×1130132121202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113013212129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515477 + ... + 701243.

It is an arithmetic number, because the mean of its divisors is an integer number (4050206820).

Almost surely, 2113013212120 is an apocalyptic number.

113013212120 is a gapful number since it is divisible by the number (10) 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 113013212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129606618240).

113013212120 is an abundant number, since it is smaller than the sum of its proper divisors (146200024360).

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

113013212120 is a wasteful number, since it uses less digits than its factorization.

113013212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186072 (or 186068 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 113013212120 its reverse (21212310311), we get a palindrome (134225522431).

The spelling of 113013212120 in words is "one hundred thirteen billion, thirteen million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 227 268 335 454 536 670 908 1135 1340 1816 2270 2680 4540 9080 15209 30418 60836 76045 121672 152090 185767 304180 371534 608360 743068 928835 1486136 1857670 3715340 7430680 12446389 24892778 42169109 49785556 62231945 84338218 99571112 124463890 168676436 210845545 248927780 337352872 421691090 497855560 843382180 1686764360 2825330303 5650660606 11301321212 14126651515 22602642424 28253303030 56506606060 113013212120