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113222212000 = 2553101280253
BaseRepresentation
bin110100101110010010…
…0011101100110100000
3101211020122120022021021
41221130210131212200
53323334341241000
6124002532535224
711115515631352
oct1513444354640
9354218508237
10113222212000
1144020a94737
1219b39a81514
13a8a4c44921
1456a11110d2
152e29e3211a
hex1a5c91d9a0

113222212000 has 96 divisors (see below), whose sum is σ = 280942303824. Its totient is φ = 44840320000.

The previous prime is 113222211979. The next prime is 113222212001. The reversal of 113222212000 is 212222311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 48113545104 + 65108666896 = 219348^2 + 255164^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (113222212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263874 + ... + 544126.

Almost surely, 2113222212000 is an apocalyptic number.

113222212000 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 113222212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140471151912).

113222212000 is an abundant number, since it is smaller than the sum of its proper divisors (167720091824).

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

113222212000 is a wasteful number, since it uses less digits than its factorization.

113222212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280379 (or 280361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 113222212000 its reverse (212222311), we get a palindrome (113434434311).

The spelling of 113222212000 in words is "one hundred thirteen billion, two hundred twenty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 16160 20200 25250 40400 50500 80800 101000 202000 280253 404000 560506 1121012 1401265 2242024 2802530 4484048 5605060 7006325 8968096 11210120 14012650 22420240 28025300 28305553 35031625 44840480 56050600 56611106 70063250 112101200 113222212 140126500 141527765 224202400 226444424 280253000 283055530 452888848 560506000 566111060 707638825 905777696 1121012000 1132222120 1415277650 2264444240 2830555300 3538194125 4528888480 5661110600 7076388250 11322221200 14152776500 22644442400 28305553000 56611106000 113222212000