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124135005330 = 2345729717369
BaseRepresentation
bin111001110011100000…
…1011101110010010010
3102212102011220122110000
41303213001131302102
54013212030132310
6133005443550430
711653116064350
oct1634701356222
9385364818400
10124135005330
1148710a798a6
122008468b416
13b923a8789b
1460185a07d0
153367ee74c0
hex1ce705dc92

124135005330 has 160 divisors (see below), whose sum is σ = 381649023360. Its totient is φ = 28360316160.

The previous prime is 124135005287. The next prime is 124135005343. The reversal of 124135005330 is 33500531421.

124135005330 is a `hidden beast` number, since 124 + 1 + 3 + 5 + 0 + 0 + 533 + 0 = 666.

124135005330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 124135005294 and 124135005303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16841886 + ... + 16849254.

It is an arithmetic number, because the mean of its divisors is an integer number (2385306396).

Almost surely, 2124135005330 is an apocalyptic number.

124135005330 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 124135005330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190824511680).

124135005330 is an abundant number, since it is smaller than the sum of its proper divisors (257514018030).

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

124135005330 is a wasteful number, since it uses less digits than its factorization.

124135005330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366 (or 10357 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 124135005330 its reverse (33500531421), we get a palindrome (157635536751).

The spelling of 124135005330 in words is "one hundred twenty-four billion, one hundred thirty-five million, five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 2971 5670 5942 7369 8913 14738 14855 17826 20797 22107 26739 29710 36845 41594 44214 44565 51583 53478 62391 66321 73690 80217 89130 103166 103985 110535 124782 132642 133695 154749 160434 187173 198963 207970 221070 240651 257915 267390 309498 311955 331605 374346 397926 401085 464247 481302 515830 561519 596889 623910 663210 773745 802170 928494 935865 994815 1123038 1193778 1203255 1392741 1547490 1684557 1871730 1989630 2321235 2406510 2785482 2807595 2984445 3369114 4178223 4642470 5615190 5968890 6963705 8356446 8422785 13927410 16845570 20891115 21893299 41782230 43786598 65679897 109466495 131359794 153253093 197039691 218932990 306506186 328399485 394079382 459759279 591119073 656798970 766265465 919518558 985198455 1182238146 1379277837 1532530930 1773357219 1970396910 2298796395 2758555674 2955595365 3546714438 4137833511 4597592790 5911190730 6896389185 8275667022 8866786095 12413500533 13792778370 17733572190 20689167555 24827001066 41378335110 62067502665 124135005330