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133023135420 = 223257971108727
BaseRepresentation
bin111101111100011001…
…0111111011010111100
3110201100121111102210100
41323320302333122330
54134412410313140
6141035431241100
712416302665150
oct1737062773274
9421317442710
10133023135420
115146210155a
1221945219190
13c70c2c9666
14661cbb5060
1536d8477530
hex1ef8cbf6bc

133023135420 has 144 divisors (see below), whose sum is σ = 461626034688. Its totient is φ = 30373695360.

The previous prime is 133023135383. The next prime is 133023135439. The reversal of 133023135420 is 24531320331.

133023135420 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 231 + 3 + 5 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169097 + ... + 1277823.

It is an arithmetic number, because the mean of its divisors is an integer number (3205736352).

Almost surely, 2133023135420 is an apocalyptic number.

133023135420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133023135420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230813017344).

133023135420 is an abundant number, since it is smaller than the sum of its proper divisors (328602899268).

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

133023135420 is a wasteful number, since it uses less digits than its factorization.

133023135420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109720 (or 109715 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 133023135420 its reverse (24531320331), we get a palindrome (157554455751).

The spelling of 133023135420 in words is "one hundred thirty-three billion, twenty-three million, one hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 971 1260 1942 2913 3884 4855 5826 6797 8739 9710 11652 13594 14565 17478 19420 20391 27188 29130 33985 34956 40782 43695 58260 61173 67970 81564 87390 101955 108727 122346 135940 174780 203910 217454 244692 305865 326181 407820 434908 543635 611730 652362 761089 978543 1087270 1223460 1304724 1522178 1630905 1957086 2174540 2283267 3044356 3261810 3805445 3914172 4566534 4892715 6523620 6849801 7610890 9133068 9785430 11416335 13699602 15221780 19570860 22832670 27399204 34249005 45665340 68498010 105573917 136996020 211147834 316721751 422295668 527869585 633443502 739017419 950165253 1055739170 1266887004 1478034838 1583608755 1900330506 2111478340 2217052257 2956069676 3167217510 3695087095 3800661012 4434104514 4750826265 6334435020 6651156771 7390174190 8868209028 9501652530 11085261285 13302313542 14780348380 19003305060 22170522570 26604627084 33255783855 44341045140 66511567710 133023135420