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132221023033331 = 2937353443787993
BaseRepresentation
bin11110000100000100011011…
…000111000001011111110011
3122100011012120102200120101102
4132010010123013001133303
5114312302123344031311
61145113255513355015
736564440132043101
oct3604043307013763
9570135512616342
10132221023033331
1139147691564321
12129b53a1108a6b
1358a15097564cb
142491762c3ac71
15104458b49743b
hex78411b1c17f3

132221023033331 has 32 divisors (see below), whose sum is σ = 141193269236160. Its totient is φ = 123579738906624.

The previous prime is 132221023033327. The next prime is 132221023033343. The reversal of 132221023033331 is 133330320122231.

It is a cyclic number.

It is not a de Polignac number, because 132221023033331 - 22 = 132221023033327 is a prime.

It is a super-2 number, since 2×1322210230333312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 132221023033294 and 132221023033303.

It is not an unprimeable number, because it can be changed into a prime (132221023033531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167400671 + ... + 168188663.

It is an arithmetic number, because the mean of its divisors is an integer number (4412289663630).

Almost surely, 2132221023033331 is an apocalyptic number.

132221023033331 is a deficient number, since it is larger than the sum of its proper divisors (8972246202829).

132221023033331 is a wasteful number, since it uses less digits than its factorization.

132221023033331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788855.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 132221023033331 its reverse (133330320122231), we get a palindrome (265551343155562).

The spelling of 132221023033331 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, twenty-three million, thirty-three thousand, three hundred thirty-one".

Divisors: 1 29 37 353 443 1073 10237 12847 13061 16391 156379 378769 475339 787993 4534991 5786023 22851797 29155741 167794667 278161529 349080899 845516489 8066684341 10123346071 10291976573 12915993263 123225557347 298467320617 374563804627 3573541163063 4559345621839 132221023033331