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133103331020 = 225116110919091
BaseRepresentation
bin111101111110110010…
…0111010011011001100
3110201120012101210110202
41323331210322123030
54140043423043040
6141051414153032
712421265434442
oct1737544723314
9421505353422
10133103331020
11514a33a6710
1221968052778
13c722ac7a8a
1466296ccb92
1536e0519015
hex1efd93a6cc

133103331020 has 96 divisors (see below), whose sum is σ = 310244643072. Its totient is φ = 47558880000.

The previous prime is 133103331007. The next prime is 133103331037. The reversal of 133103331020 is 20133301331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133103330983 and 133103331001.

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, 14636675 + ... + 14645765.

It is an arithmetic number, because the mean of its divisors is an integer number (3231715032).

Almost surely, 2133103331020 is an apocalyptic number.

133103331020 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 133103331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155122321536).

133103331020 is an abundant number, since it is smaller than the sum of its proper divisors (177141312052).

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

133103331020 is a wasteful number, since it uses less digits than its factorization.

133103331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10263 (or 10261 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 133103331020 its reverse (20133301331), we get a palindrome (153236632351).

The spelling of 133103331020 in words is "one hundred thirty-three billion, one hundred three million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1091 1220 1342 2182 2684 3355 4364 5455 6710 9091 10910 12001 13420 18182 21820 24002 36364 45455 48004 60005 66551 90910 100001 120010 133102 181820 200002 240020 266204 332755 400004 500005 554551 665510 732061 1000010 1109102 1331020 1464122 2000020 2218204 2772755 2928244 3660305 5545510 6100061 7320610 9918281 11091020 12200122 14641220 19836562 24400244 30500305 39673124 49591405 61000610 99182810 109101091 122001220 198365620 218202182 436404364 545505455 605015141 1091010910 1210030282 2182021820 2420060564 3025075705 6050151410 6655166551 12100302820 13310333102 26620666204 33275832755 66551665510 133103331020