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12220101313002 = 23311193106593581
BaseRepresentation
bin1011000111010011011011…
…0011000100000111101010
31121021020012212112021212000
42301310312303010013222
53100203231414004002
641553500445031430
72400605334214422
oct261646663040752
947236185467760
1012220101313002
113991574682a80
121454407255576
136a84733999bb
143036555d9482
15162d15e7461c
hexb1d36cc41ea

12220101313002 has 64 divisors (see below), whose sum is σ = 29777983067520. Its totient is φ = 3683874124800.

The previous prime is 12220101312977. The next prime is 12220101313111. The reversal of 12220101313002 is 20031310102221.

12220101313002 is a `hidden beast` number, since 1 + 2 + 220 + 10 + 131 + 300 + 2 = 666.

12220101313002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122201013130022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53182149 + ... + 53411432.

It is an arithmetic number, because the mean of its divisors is an integer number (465280985430).

Almost surely, 212220101313002 is an apocalyptic number.

12220101313002 is an abundant number, since it is smaller than the sum of its proper divisors (17557881754518).

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

12220101313002 is a wasteful number, since it uses less digits than its factorization.

12220101313002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106593796 (or 106593790 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12220101313002 its reverse (20031310102221), we get a palindrome (32251411415223).

The spelling of 12220101313002 in words is "twelve trillion, two hundred twenty billion, one hundred one million, three hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 193 198 297 386 579 594 1158 1737 2123 3474 4246 5211 6369 10422 12738 19107 38214 57321 114642 106593581 213187162 319780743 639561486 959342229 1172529391 1918684458 2345058782 2878026687 3517588173 5756053374 7035176346 10552764519 20572561133 21105529038 31658293557 41145122266 61717683399 63316587114 123435366798 185153050197 226298172463 370306100394 452596344926 555459150591 678894517389 1110918301182 1357789034778 2036683552167 4073367104334 6110050656501 12220101313002