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132212020313331 = 32761137251119241
BaseRepresentation
bin11110000011111100000010…
…100000010111110011110011
3122100010100100000111000020100
4132003330002200113303303
5114312130204200011311
61145105210314043443
736564001054143030
oct3603740240276363
9570110300430210
10132212020313331
1139143891785562
12129b36aa119583
1358a070356315a
14249114b318387
151044210e2ea56
hex783f02817cf3

132212020313331 has 48 divisors (see below), whose sum is σ = 223451928393408. Its totient is φ = 73768787942400.

The previous prime is 132212020313311. The next prime is 132212020313339. The reversal of 132212020313331 is 133313020212231.

132212020313331 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 12 + 0 + 2 + 0 + 313 + 331 = 666.

It is not a de Polignac number, because 132212020313331 - 215 = 132212020280563 is a prime.

It is a super-2 number, since 2×1322120203133312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132212020313295 and 132212020313304.

It is not an unprimeable number, because it can be changed into a prime (132212020313339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125033130 + ... + 126086111.

It is an arithmetic number, because the mean of its divisors is an integer number (4655248508196).

Almost surely, 2132212020313331 is an apocalyptic number.

132212020313331 is a deficient number, since it is larger than the sum of its proper divisors (91239908080077).

132212020313331 is a wasteful number, since it uses less digits than its factorization.

132212020313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251119452 (or 251119449 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132212020313331 its reverse (133313020212231), we get a palindrome (265525040525562).

The spelling of 132212020313331 in words is "one hundred thirty-two trillion, two hundred twelve billion, twenty million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 61 63 137 183 411 427 549 959 1233 1281 2877 3843 8357 8631 25071 58499 75213 175497 526491 251119241 753357723 1757834687 2260073169 5273504061 15318273701 15820512183 34403336017 45954821103 103210008051 107227915907 137864463309 240823352119 309630024153 321683747721 722470056357 965051243163 2098603497037 2167410169071 6295810491111 14690224479259 18887431473333 44070673437777 132212020313331