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133002000120 = 233511100759091
BaseRepresentation
bin111101111011110001…
…0010111011011111000
3110201022010201122121110
41323313202113123320
54134342003000440
6141033354240320
712415625230203
oct1736742273370
9421263648543
10133002000120
1151451186270
122193a1260a0
13c707b09572
14661a07293a
1536d66a0080
hex1ef78976f8

133002000120 has 64 divisors (see below), whose sum is σ = 435279277440. Its totient is φ = 32242908800.

The previous prime is 133002000107. The next prime is 133002000121. The reversal of 133002000120 is 21000200331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 133002000096 and 133002000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133002000121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50378226 + ... + 50380865.

It is an arithmetic number, because the mean of its divisors is an integer number (6801238710).

Almost surely, 2133002000120 is an apocalyptic number.

133002000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133002000120 is an abundant number, since it is smaller than the sum of its proper divisors (302277277320).

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

133002000120 is a wasteful number, since it uses less digits than its factorization.

133002000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100759116 (or 100759112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 133002000120 its reverse (21000200331), we get a palindrome (154002200451).

The spelling of 133002000120 in words is "one hundred thirty-three billion, two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 100759091 201518182 302277273 403036364 503795455 604554546 806072728 1007590910 1108350001 1209109092 1511386365 2015181820 2216700002 2418218184 3022772730 3325050003 4030363640 4433400004 5541750005 6045545460 6650100006 8866800008 11083500010 12091090920 13300200012 16625250015 22167000020 26600400024 33250500030 44334000040 66501000060 133002000120