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133311212220021 = 31189431105313843
BaseRepresentation
bin11110010011111011101111…
…011100101110111001110101
3122111000102112120222101100020
4132103323233130232321311
5114433132330312020041
61151310154143235353
740036263054165303
oct3623735734567165
9574012476871306
10133311212220021
1139527a70978040
1212b507332a8b59
135950268ab37b4
1424cc42334b273
151062ae59aa866
hex793eef72ee75

133311212220021 has 32 divisors (see below), whose sum is σ = 196540908226560. Its totient is φ = 79701515625600.

The previous prime is 133311212220019. The next prime is 133311212220071. The reversal of 133311212220021 is 120022212113331.

It is not a de Polignac number, because 133311212220021 - 21 = 133311212220019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133311212219973 and 133311212220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133311212220071) 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, 51391075 + ... + 53922768.

It is an arithmetic number, because the mean of its divisors is an integer number (6141903382080).

Almost surely, 2133311212220021 is an apocalyptic number.

133311212220021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133311212220021 is a deficient number, since it is larger than the sum of its proper divisors (63229696006539).

133311212220021 is a wasteful number, since it uses less digits than its factorization.

133311212220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105314377.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 133311212220021 its reverse (120022212113331), we get a palindrome (253333424333352).

The spelling of 133311212220021 in words is "one hundred thirty-three trillion, three hundred eleven billion, two hundred twelve million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 11 33 89 267 431 979 1293 2937 4741 14223 38359 115077 421949 1265847 105313843 315941529 1158452273 3475356819 9372932027 28118796081 45390266333 103102252297 136170798999 309306756891 499292929663 1497878788989 4039733703637 12119201110911 44437070740007 133311212220021