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13233220020 = 22335241710139
BaseRepresentation
bin11000101001100001…
…01110100110110100
31021011020122020012000
430110300232212310
5204100201020040
610025041455300
7645634341246
oct142460564664
937136566160
1013233220020
115680898079
122693941530
13132b7ba807
148d7718096
15526b6e130
hex314c2e9b4

13233220020 has 96 divisors (see below), whose sum is σ = 41191113600. Its totient is φ = 3527050752.

The previous prime is 13233219977. The next prime is 13233220027. The reversal of 13233220020 is 2002233231.

It is a happy number.

13233220020 is a `hidden beast` number, since 1 + 323 + 322 + 0 + 0 + 20 = 666.

It is a super-2 number, since 2×132332200202 (a number of 21 digits) contains 22 as substring.

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 = 13233219975 and 13233220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233220027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1300111 + ... + 1310249.

It is an arithmetic number, because the mean of its divisors is an integer number (429074100).

Almost surely, 213233220020 is an apocalyptic number.

13233220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13233220020 is an abundant number, since it is smaller than the sum of its proper divisors (27957893580).

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

13233220020 is a wasteful number, since it uses less digits than its factorization.

13233220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12574 (or 12566 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13233220020 its reverse (2002233231), we get a palindrome (15235453251).

The spelling of 13233220020 in words is "thirteen billion, two hundred thirty-three million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2417 4834 7251 9668 10139 12085 14502 20278 21753 24170 29004 30417 36255 40556 43506 48340 50695 60834 65259 72510 87012 91251 101390 108765 121668 130518 145020 152085 182502 202780 217530 261036 273753 304170 326295 365004 435060 456255 547506 608340 652590 912510 1095012 1305180 1368765 1825020 2737530 5475060 24505963 49011926 73517889 98023852 122529815 147035778 220553667 245059630 294071556 367589445 441107334 490119260 661661001 735178890 882214668 1102768335 1323322002 1470357780 2205536670 2646644004 3308305005 4411073340 6616610010 13233220020