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132021101130020 = 225233240011180397
BaseRepresentation
bin11110000001001010001110…
…110101011111000100100100
3122022110002112112100121101222
4132001022032311133010210
5114301013203342130040
61144441353453235512
736544131646644164
oct3601121665370444
9568402475317358
10132021101130020
113907a91a894343
12129826a7792b98
1358886c867c2bb
142485bd92885a4
15103e289cecbb5
hex78128ed5f124

132021101130020 has 48 divisors (see below), whose sum is σ = 278446038959088. Its totient is φ = 52579559424000.

The previous prime is 132021101129927. The next prime is 132021101130031. The reversal of 132021101130020 is 20031101120231.

It can be written as a sum of positive squares in 8 ways, for example, as 2454285691456 + 129566815438564 = 1566616^2 + 11382742^2 .

It is a super-2 number, since 2×1320211011300202 (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 15 ways as a sum of consecutive naturals, for example, 111254462 + ... + 112434858.

It is an arithmetic number, because the mean of its divisors is an integer number (5800959144981).

Almost surely, 2132021101130020 is an apocalyptic number.

132021101130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132021101130020 is an abundant number, since it is smaller than the sum of its proper divisors (146424937829068).

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

132021101130020 is a wasteful number, since it uses less digits than its factorization.

132021101130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204640 (or 1204638 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 132021101130020 its reverse (20031101120231), we get a palindrome (152052202250251).

The spelling of 132021101130020 in words is "one hundred thirty-two trillion, twenty-one billion, one hundred one million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 24001 48002 96004 120005 240010 480020 1180397 2360794 4721588 5592233 5901985 11184466 11803970 22368932 23607940 27961165 55922330 111844660 275032501 550065002 1100130004 1375162505 2750325010 5500650020 28330708397 56661416794 113322833588 141653541985 283307083970 566614167940 6601055056501 13202110113002 26404220226004 33005275282505 66010550565010 132021101130020