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133000130120 = 2351113109213319
BaseRepresentation
bin111101111011101101…
…1001110111001001000
3110201022000012122110012
41323313123032321020
54134341013130440
6141033250211052
712415603311254
oct1736733167110
9421260178405
10133000130120
1151450119310
1221939583a88
13c707603360
146619b07264
1536d6430e65
hex1ef76cee48

133000130120 has 128 divisors (see below), whose sum is σ = 354793824000. Its totient is φ = 44233620480.

The previous prime is 133000130117. The next prime is 133000130161. The reversal of 133000130120 is 21031000331.

It is a super-2 number, since 2×1330001301202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133000130095 and 133000130104.

It is an unprimeable number.

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, 516821 + ... + 730139.

It is an arithmetic number, because the mean of its divisors is an integer number (2771826750).

Almost surely, 2133000130120 is an apocalyptic number.

133000130120 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 133000130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177396912000).

133000130120 is an abundant number, since it is smaller than the sum of its proper divisors (221793693880).

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

133000130120 is a wasteful number, since it uses less digits than its factorization.

133000130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213463 (or 213459 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 133000130120 its reverse (21031000331), we get a palindrome (154031130451).

The spelling of 133000130120 in words is "one hundred thirty-three billion, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 109 110 130 143 218 220 260 286 436 440 520 545 572 715 872 1090 1144 1199 1417 1430 2180 2398 2834 2860 4360 4796 5668 5720 5995 7085 9592 11336 11990 14170 15587 23980 28340 31174 47960 56680 62348 77935 124696 155870 213319 311740 426638 623480 853276 1066595 1706552 2133190 2346509 2773147 4266380 4693018 5546294 8532760 9386036 11092588 11732545 13865735 18772072 22185176 23251771 23465090 27731470 30504617 46503542 46930180 55462940 61009234 93007084 93860360 110925880 116258855 122018468 152523085 186014168 232517710 244036936 255769481 302273023 305046170 465035420 511538962 604546046 610092340 930070840 1023077924 1209092092 1220184680 1278847405 1511365115 2046155848 2418184184 2557694810 3022730230 3325003253 5115389620 6045460460 6650006506 10230779240 12090920920 13300013012 16625016265 26600026024 33250032530 66500065060 133000130120