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113222221220 = 225172291454177
BaseRepresentation
bin110100101110010010…
…0011111110110100100
3101211020122120202220202
41221130210133312210
53323334342034340
6124002533050032
711115516000263
oct1513444376644
9354218522822
10113222221220
1144020aa0659
1219b39a86918
13a8a4c48b94
1456a11145da
152e29e34c15
hex1a5c91fda4

113222221220 has 48 divisors (see below), whose sum is σ = 252852470640. Its totient is φ = 42438672384.

The previous prime is 113222221219. The next prime is 113222221223. The reversal of 113222221220 is 22122222311.

It can be written as a sum of positive squares in 8 ways, for example, as 24294209956 + 88928011264 = 155866^2 + 298208^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113222221192 and 113222221201.

It is not an unprimeable number, because it can be changed into a prime (113222221223) 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, 649229 + ... + 804948.

It is an arithmetic number, because the mean of its divisors is an integer number (5267759805).

Almost surely, 2113222221220 is an apocalyptic number.

113222221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113222221220 is an abundant number, since it is smaller than the sum of its proper divisors (139630249420).

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

113222221220 is a wasteful number, since it uses less digits than its factorization.

113222221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454432 (or 1454430 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 113222221220 its reverse (22122222311), we get a palindrome (135344443531).

The spelling of 113222221220 in words is "one hundred thirteen billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 229 340 458 916 1145 2290 3893 4580 7786 15572 19465 38930 77860 1454177 2908354 5816708 7270885 14541770 24721009 29083540 49442018 98884036 123605045 247210090 333006533 494420180 666013066 1332026132 1665032665 3330065330 5661111061 6660130660 11322222122 22644444244 28305555305 56611110610 113222221220