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133013230020 = 223251167178399
BaseRepresentation
bin111101111100000110…
…1001101000111000100
3110201022220212012010200
41323320031031013010
54134402341330040
6141034435050500
712416122541346
oct1737015150704
9421286765120
10133013230020
1151457556480
1221941a40a30
13c70a23bb88
14661b757296
1536d766c630
hex1ef834d1c4

133013230020 has 72 divisors (see below), whose sum is σ = 440152876800. Its totient is φ = 32245631040.

The previous prime is 133013230019. The next prime is 133013230037. The reversal of 133013230020 is 20032310331.

133013230020 is a `hidden beast` number, since 1 + 330 + 1 + 32 + 300 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133013229975 and 133013230002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33587220 + ... + 33591179.

It is an arithmetic number, because the mean of its divisors is an integer number (6113234400).

Almost surely, 2133013230020 is an apocalyptic number.

133013230020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133013230020 is an abundant number, since it is smaller than the sum of its proper divisors (307139646780).

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

133013230020 is a wasteful number, since it uses less digits than its factorization.

133013230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67178425 (or 67178420 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133013230020 its reverse (20032310331), we get a palindrome (153045540351).

The spelling of 133013230020 in words is "one hundred thirty-three billion, thirteen million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 67178399 134356798 201535197 268713596 335891995 403070394 604605591 671783990 738962389 806140788 1007675985 1209211182 1343567980 1477924778 2015351970 2216887167 2418422364 2955849556 3023027955 3694811945 4030703940 4433774334 6046055910 6650661501 7389623890 8867548668 11084435835 12092111820 13301323002 14779247780 22168871670 26602646004 33253307505 44337743340 66506615010 133013230020