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132301212032020 = 225179191319318163
BaseRepresentation
bin11110000101001111000110…
…101111110001110000010100
3122100102212112221102202211211
4132011033012233301300110
5114320110340240011040
61145214200542111204
736603306240222223
oct3605170657616024
9570385487382754
10132301212032020
11391786a1119969
1212a08a4027b504
1358a8c48a93065
1424955acb32cba
1510466d134a8ea
hex7853c6bf1c14

132301212032020 has 48 divisors (see below), whose sum is σ = 279530742173760. Its totient is φ = 52597327859456.

The previous prime is 132301212031993. The next prime is 132301212032071. The reversal of 132301212032020 is 20230212103231.

It is a super-2 number, since 2×1323012120320202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132301212031982 and 132301212032000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2810542 + ... + 16507621.

It is an arithmetic number, because the mean of its divisors is an integer number (5823557128620).

Almost surely, 2132301212032020 is an apocalyptic number.

132301212032020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132301212032020 is an abundant number, since it is smaller than the sum of its proper divisors (147229530141740).

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

132301212032020 is a wasteful number, since it uses less digits than its factorization.

132301212032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19320264 (or 19320262 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 132301212032020 its reverse (20230212103231), we get a palindrome (152531424135251).

The spelling of 132301212032020 in words is "one hundred thirty-two trillion, three hundred one billion, two hundred twelve million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 179 358 716 895 1790 1913 3580 3826 7652 9565 19130 38260 342427 684854 1369708 1712135 3424270 6848540 19318163 38636326 77272652 96590815 193181630 386363260 3457951177 6915902354 13831804708 17289755885 34579511770 36955645819 69159023540 73911291638 147822583276 184778229095 369556458190 739112916380 6615060601601 13230121203202 26460242406404 33075303008005 66150606016010 132301212032020