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133121130112 = 274190727967
BaseRepresentation
bin111101111111010100…
…0110011111010000000
3110201121102220002020101
41323332220303322000
54140113002130422
6141053251452144
712421602636025
oct1737650637200
9421542802211
10133121130112
1151502453403
1221971bb7054
13c7266ba499
14662bc0354c
1536e1d82c27
hex1efea33e80

133121130112 has 64 divisors (see below), whose sum is σ = 271979850240. Its totient is φ = 64863221760.

The previous prime is 133121130101. The next prime is 133121130127. The reversal of 133121130112 is 211031121331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 133121130112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4745953 + ... + 4773919.

It is an arithmetic number, because the mean of its divisors is an integer number (4249685160).

Almost surely, 2133121130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133121130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135989925120).

133121130112 is an abundant number, since it is smaller than the sum of its proper divisors (138858720128).

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

133121130112 is an equidigital number, since it uses as much as digits as its factorization.

133121130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28929 (or 28917 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 133121130112 its reverse (211031121331), we get a palindrome (344152251443).

The spelling of 133121130112 in words is "one hundred thirty-three billion, one hundred twenty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 907 1312 1814 2624 3628 5248 7256 14512 27967 29024 37187 55934 58048 74374 111868 116096 148748 223736 297496 447472 594992 894944 1146647 1189984 1789888 2293294 2379968 3579776 4586588 4759936 9173176 18346352 25366069 36692704 50732138 73385408 101464276 146770816 202928552 405857104 811714208 1040008829 1623428416 2080017658 3246856832 4160035316 8320070632 16640141264 33280282528 66560565056 133121130112