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133121410320 = 24351933119241
BaseRepresentation
bin111101111111010100…
…1111000010100010000
3110201121110102022121110
41323332221320110100
54140113040112240
6141053301453320
712421605213663
oct1737651702420
9421543368543
10133121410320
1151502624988
1221972111240
13c726787ba2
14662bc776da
1536e1ddac80
hex1efea78510

133121410320 has 160 divisors (see below), whose sum is σ = 416193433344. Its totient is φ = 35197747200.

The previous prime is 133121410273. The next prime is 133121410327. The reversal of 133121410320 is 23014121331.

It is not an unprimeable number, because it can be changed into a prime (133121410327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14400900 + ... + 14410140.

Almost surely, 2133121410320 is an apocalyptic number.

133121410320 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 133121410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208096716672).

133121410320 is an abundant number, since it is smaller than the sum of its proper divisors (283072023024).

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

133121410320 is a wasteful number, since it uses less digits than its factorization.

133121410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9761 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133121410320 its reverse (23014121331), we get a palindrome (156135531651).

The spelling of 133121410320 in words is "one hundred thirty-three billion, one hundred twenty-one million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 311 386 579 622 772 933 965 1158 1244 1544 1555 1866 1930 2316 2488 2895 3088 3110 3732 3860 4632 4665 4976 5790 6220 7464 7720 9241 9264 9330 11580 12440 14928 15440 18482 18660 23160 24880 27723 36964 37320 46205 46320 55446 60023 73928 74640 92410 110892 120046 138615 147856 180069 184820 221784 240092 277230 300115 360138 369640 443568 480184 554460 600230 720276 739280 900345 960368 1108920 1200460 1440552 1783513 1800690 2217840 2400920 2873951 2881104 3567026 3601380 4801840 5350539 5747902 7134052 7202760 8621853 8917565 10701078 11495804 14268104 14369755 14405520 17243706 17835130 21402156 22991608 26752695 28536208 28739510 34487412 35670260 42804312 43109265 45983216 53505390 57479020 68974824 71340520 85608624 86218530 107010780 114958040 137949648 142681040 172437060 214021560 229916080 344874120 428043120 554672543 689748240 1109345086 1664017629 2218690172 2773362715 3328035258 4437380344 5546725430 6656070516 8320088145 8874760688 11093450860 13312141032 16640176290 22186901720 26624282064 33280352580 44373803440 66560705160 133121410320