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133134035100 = 2235211181122277
BaseRepresentation
bin111101111111101101…
…0000010100010011100
3110201122100011201112220
41323333122002202130
54140124303110400
6141054432225340
712422120424633
oct1737732024234
9421570151486
10133134035100
1151509768090
122197639b250
13c729288381
14662d80251a
1536e30817a0
hex1eff68289c

133134035100 has 144 divisors (see below), whose sum is σ = 420470338176. Its totient is φ = 32255648000.

The previous prime is 133134035053. The next prime is 133134035119. The reversal of 133134035100 is 1530431331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5965162 + ... + 5987438.

It is an arithmetic number, because the mean of its divisors is an integer number (2919932904).

Almost surely, 2133134035100 is an apocalyptic number.

133134035100 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 133134035100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210235169088).

133134035100 is an abundant number, since it is smaller than the sum of its proper divisors (287336303076).

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

133134035100 is a wasteful number, since it uses less digits than its factorization.

133134035100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24116 (or 24109 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 133134035100 its reverse (1530431331), we get a palindrome (134664466431).

The spelling of 133134035100 in words is "one hundred thirty-three billion, one hundred thirty-four million, thirty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 1811 3300 3622 5433 7244 9055 10866 18110 19921 21732 22277 27165 36220 39842 44554 45275 54330 59763 66831 79684 89108 90550 99605 108660 111385 119526 133662 135825 181100 199210 222770 239052 245047 267324 271650 298815 334155 398420 445540 490094 498025 543300 556925 597630 668310 735141 980188 996050 1113850 1195260 1225235 1336620 1470282 1494075 1670775 1992100 2227700 2450470 2940564 2988150 3341550 3675705 4900940 5976300 6126175 6683100 7351410 12252350 14702820 18378525 24504700 36757050 40343647 73514100 80687294 121030941 161374588 201718235 242061882 403436470 443780117 484123764 605154705 806872940 887560234 1008591175 1210309410 1331340351 1775120468 2017182350 2218900585 2420618820 2662680702 3025773525 4034364700 4437801170 5325361404 6051547050 6656701755 8875602340 11094502925 12103094100 13313403510 22189005850 26626807020 33283508775 44378011700 66567017550 133134035100