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133244311020 = 223567172319237
BaseRepresentation
bin111110000010111111…
…0101101010111101100
3110201221000200022200020
41330011332231113230
54140341020423040
6141113412002140
712424626646032
oct1740576552754
9421830608606
10133244311020
1151565a38007
12219a7300350
13c7460891b2
14664030a552
1536ecab5cd0
hex1f05fad5ec

133244311020 has 96 divisors (see below), whose sum is σ = 378891948288. Its totient is φ = 34979357952.

The previous prime is 133244310973. The next prime is 133244311021. The reversal of 133244311020 is 20113442331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133244311021) by changing a digit.

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, 6916842 + ... + 6936078.

It is an arithmetic number, because the mean of its divisors is an integer number (3946791128).

Almost surely, 2133244311020 is an apocalyptic number.

133244311020 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 133244311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189445974144).

133244311020 is an abundant number, since it is smaller than the sum of its proper divisors (245647637268).

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

133244311020 is a wasteful number, since it uses less digits than its factorization.

133244311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21039 (or 21037 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133244311020 its reverse (20113442331), we get a palindrome (153357753351).

The spelling of 133244311020 in words is "one hundred thirty-three billion, two hundred forty-four million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 1723 2010 3446 4020 5169 6892 8615 10338 17230 19237 20676 25845 34460 38474 51690 57711 76948 96185 103380 115422 115441 192370 230844 230882 288555 346323 384740 461764 577110 577205 692646 1154220 1154410 1288879 1385292 1731615 2308820 2577758 3463230 3866637 5155516 6444395 6926460 7733274 12888790 15466548 19333185 25777580 33145351 38666370 66290702 77332740 99436053 132581404 165726755 198872106 331453510 397744212 497180265 662907020 994360530 1988721060 2220738517 4441477034 6662215551 8882954068 11103692585 13324431102 22207385170 26648862204 33311077755 44414770340 66622155510 133244311020