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13011233220 = 22325174252037
BaseRepresentation
bin11000001111000011…
…11010100111000100
31020120202221010112200
430013201322213010
5203121333430340
65551031514500
7640300441356
oct140741724704
936522833480
1013011233220
115577558107
122631528a30
1312c480598b
148b60510d6
15512420330
hex30787a9c4

13011233220 has 72 divisors (see below), whose sum is σ = 41789029464. Its totient is φ = 3265563648.

The previous prime is 13011233143. The next prime is 13011233227. The reversal of 13011233220 is 2233211031.

13011233220 is a `hidden beast` number, since 1 + 301 + 12 + 332 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4322010564 + 8689222656 = 65742^2 + 93216^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13011233193 and 13011233202.

It is not an unprimeable number, because it can be changed into a prime (13011233227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2122959 + ... + 2129078.

It is an arithmetic number, because the mean of its divisors is an integer number (580403187).

Almost surely, 213011233220 is an apocalyptic number.

13011233220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13011233220 is an abundant number, since it is smaller than the sum of its proper divisors (28777796244).

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

13011233220 is a wasteful number, since it uses less digits than its factorization.

13011233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252069 (or 4252064 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13011233220 its reverse (2233211031), we get a palindrome (15244444251).

The spelling of 13011233220 in words is "thirteen billion, eleven million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4252037 8504074 12756111 17008148 21260185 25512222 38268333 42520370 51024444 63780555 72284629 76536666 85040740 127561110 144569258 153073332 191341665 216853887 255122220 289138516 361423145 382683330 433707774 650561661 722846290 765366660 867415548 1084269435 1301123322 1445692580 2168538870 2602246644 3252808305 4337077740 6505616610 13011233220