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133113230310 = 2351932922307
BaseRepresentation
bin111101111111000101…
…0101011001111100110
3110201120220000201202010
41323332022223033212
54140103441332220
6141052410255050
712421445534364
oct1737612531746
9421526021663
10133113230310
11514a8a48145
122196b427486
13c724b82848
14662ab48634
1536e13221e0
hex1efe2ab3e6

133113230310 has 128 divisors (see below), whose sum is σ = 348861427200. Its totient is φ = 32467542912.

The previous prime is 133113230309. The next prime is 133113230333. The reversal of 133113230310 is 13032311331.

It is a super-2 number, since 2×1331132303102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5956177 + ... + 5978483.

It is an arithmetic number, because the mean of its divisors is an integer number (2725479900).

Almost surely, 2133113230310 is an apocalyptic number.

133113230310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133113230310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174430713600).

133113230310 is an abundant number, since it is smaller than the sum of its proper divisors (215748196890).

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

133113230310 is a wasteful number, since it uses less digits than its factorization.

133113230310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22403 (or 22365 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 133113230310 its reverse (13032311331), we get a palindrome (146145541641).

The spelling of 133113230310 in words is "one hundred thirty-three billion, one hundred thirteen million, two hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 361 435 551 570 722 870 1083 1102 1653 1805 2166 2755 3306 3610 5415 5510 6859 8265 10469 10830 13718 16530 20577 20938 22307 31407 34295 41154 44614 52345 62814 66921 68590 102885 104690 111535 133842 157035 198911 205770 223070 314070 334605 397822 423833 596733 646903 669210 847666 994555 1193466 1271499 1293806 1940709 1989110 2119165 2542998 2983665 3234515 3881418 4238330 5967330 6357495 6469030 8052827 9703545 12291157 12714990 16105654 19407090 24158481 24582314 36873471 40264135 48316962 61455785 73746942 80528270 120792405 122911570 153003713 184367355 233531983 241584810 306007426 368734710 459011139 467063966 700595949 765018565 918022278 1167659915 1401191898 1530037130 2295055695 2335319830 3502979745 4437107677 4590111390 7005959490 8874215354 13311323031 22185538385 26622646062 44371076770 66556615155 133113230310