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133121011441332 = 223198910960185969
BaseRepresentation
bin11110010001001010100110…
…100110010101111010110100
3122110100020121011122201101110
4132101022212212111322310
5114422023312412110312
61151042540504355020
740016450522223525
oct3621124646257264
9573306534581343
10133121011441332
1139464338556952
1212b1b8b1475a70
1359383469b4235
1424c313c88684c
15105cbb298443c
hex7912a6995eb4

133121011441332 has 96 divisors (see below), whose sum is σ = 333671017680000. Its totient is φ = 41184535670784.

The previous prime is 133121011441241. The next prime is 133121011441333. The reversal of 133121011441332 is 233144110121331.

It is a happy number.

It is a super-3 number, since 3×1331210114413323 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133121011441332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133121011441333) 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, 27881157 + ... + 32304812.

It is an arithmetic number, because the mean of its divisors is an integer number (3475739767500).

Almost surely, 2133121011441332 is an apocalyptic number.

133121011441332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133121011441332 is an abundant number, since it is smaller than the sum of its proper divisors (200550006238668).

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

133121011441332 is a wasteful number, since it uses less digits than its factorization.

133121011441332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60186193 (or 60186191 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 133121011441332 its reverse (233144110121331), we get a palindrome (366265121562663).

The spelling of 133121011441332 in words is "one hundred thirty-three trillion, one hundred twenty-one billion, eleven million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 109 114 178 218 228 267 327 356 436 534 654 1068 1308 1691 2071 3382 4142 5073 6213 6764 8284 9701 10146 12426 19402 20292 24852 29103 38804 58206 116412 184319 368638 552957 737276 1105914 2211828 60185969 120371938 180557907 240743876 361115814 722231628 1143533411 2287066822 3430600233 4574133644 5356551241 6560270621 6861200466 10713102482 13120541242 13722400932 16069653723 19680811863 21426204964 26241082484 32139307446 39361623726 64278614892 78723247452 101774473579 124645141799 203548947158 249290283598 305323420737 373935425397 407097894316 498580567196 583864085269 610646841474 747870850794 1167728170538 1221293682948 1495741701588 1751592255807 2335456341076 3503184511614 7006369023228 11093417620111 22186835240222 33280252860333 44373670480444 66560505720666 133121011441332