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133226632151221 = 72191307296936877
BaseRepresentation
bin11110010010101100111110…
…000101011000000010110101
3122110201100020001122201002111
4132102230332011120002311
5114430241120312314341
61151203245255011021
740030210066362400
oct3622547605300265
9573640201581074
10133226632151221
11394a5108702534
1212b38269669a71
1359452a9b1c6cb
1424c82bc1c2d37
1510607e5384681
hex792b3e1580b5

133226632151221 has 48 divisors (see below), whose sum is σ = 163318884379200. Its totient is φ = 108061918933248.

The previous prime is 133226632151177. The next prime is 133226632151267. The reversal of 133226632151221 is 122151236622331.

It is not a de Polignac number, because 133226632151221 - 223 = 133226623762613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133226332151221) 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 47 ways as a sum of consecutive naturals, for example, 3612711235 + ... + 3612748111.

It is an arithmetic number, because the mean of its divisors is an integer number (3402476757900).

Almost surely, 2133226632151221 is an apocalyptic number.

It is an amenable number.

133226632151221 is a deficient number, since it is larger than the sum of its proper divisors (30092252227979).

133226632151221 is a wasteful number, since it uses less digits than its factorization.

133226632151221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41186 (or 41179 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

Adding to 133226632151221 its reverse (122151236622331), we get a palindrome (255377868773552).

The spelling of 133226632151221 in words is "one hundred thirty-three trillion, two hundred twenty-six billion, six hundred thirty-two million, one hundred fifty-one thousand, two hundred twenty-one".

Divisors: 1 7 19 49 133 931 1307 2969 9149 20783 24833 36877 56411 64043 145481 173831 258139 394877 700663 1216817 1806973 2764139 3880483 4904641 27163381 34332487 48198239 73729177 109487813 190143667 337387673 516104239 766414691 915766541 2080268447 2361713711 3612729673 5364902837 6410365787 14561879129 44872560509 101933153903 143100571591 1001704001137 2718910860229 7011928007959 19032376021603 133226632151221