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132213323410020 = 223251583464004083
BaseRepresentation
bin11110000011111101010000…
…001011010010101001100100
3122100010110200211111011211200
4132003331100023102221210
5114312140341243110040
61145105543504002500
736564045256241526
oct3603752013225144
9570113624434750
10132213323410020
11391443a02a8376
12129b39b2600430
1358a0880513798
142491232403a16
15104428a532630
hex783f502d2a64

132213323410020 has 72 divisors (see below), whose sum is σ = 401300428104576. Its totient is φ = 35234613970752.

The previous prime is 132213323410013. The next prime is 132213323410033. The reversal of 132213323410020 is 20014323312231.

132213323410020 is a `hidden beast` number, since 1 + 3 + 2 + 213 + 32 + 3 + 410 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×1322133234100202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231717102 + ... + 232286981.

It is an arithmetic number, because the mean of its divisors is an integer number (5573617057008).

Almost surely, 2132213323410020 is an apocalyptic number.

132213323410020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213323410020 is an abundant number, since it is smaller than the sum of its proper divisors (269087104694556).

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

132213323410020 is a wasteful number, since it uses less digits than its factorization.

132213323410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464005681 (or 464005676 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132213323410020 its reverse (20014323312231), we get a palindrome (152227646722251).

The spelling of 132213323410020 in words is "one hundred thirty-two trillion, two hundred thirteen billion, three hundred twenty-three million, four hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1583 3166 4749 6332 7915 9498 14247 15830 18996 23745 28494 31660 47490 56988 71235 94980 142470 284940 464004083 928008166 1392012249 1856016332 2320020415 2784024498 4176036747 4640040830 5568048996 6960061245 8352073494 9280081660 13920122490 16704146988 20880183735 27840244980 41760367470 83520734940 734518463389 1469036926778 2203555390167 2938073853556 3672592316945 4407110780334 6610666170501 7345184633890 8814221560668 11017776950835 13221332341002 14690369267780 22035553901670 26442664682004 33053330852505 44071107803340 66106661705010 132213323410020