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100130126340 = 22354722293299
BaseRepresentation
bin101110101000000111…
…0000111101000000100
3100120110020111110000210
41131100032013220010
53120031303020330
6113555452035420
710143214013406
oct1352016075004
9316406443023
10100130126340
1139512933a32
12174a5462b70
13959977088a
144bbc454b76
1529108908b0
hex1750387a04

100130126340 has 144 divisors (see below), whose sum is σ = 287794584000. Its totient is φ = 26011246848.

The previous prime is 100130126321. The next prime is 100130126353. The reversal of 100130126340 is 43621031001.

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, 30350011 + ... + 30353309.

It is an arithmetic number, because the mean of its divisors is an integer number (1998573500).

Almost surely, 2100130126340 is an apocalyptic number.

100130126340 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 100130126340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143897292000).

100130126340 is an abundant number, since it is smaller than the sum of its proper divisors (187664457660).

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

100130126340 is a wasteful number, since it uses less digits than its factorization.

100130126340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3585 counting only the distinct ones).

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

Adding to 100130126340 its reverse (43621031001), we get a palindrome (143751157341).

The spelling of 100130126340 in words is "one hundred billion, one hundred thirty million, one hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 229 235 282 458 470 564 687 705 916 940 1145 1374 1410 2209 2290 2748 2820 3299 3435 4418 4580 6598 6627 6870 8836 9897 10763 11045 13196 13254 13740 16495 19794 21526 22090 26508 32289 32990 33135 39588 43052 44180 49485 53815 64578 65980 66270 98970 107630 129156 132540 155053 161445 197940 215260 310106 322890 465159 505861 620212 645780 755471 775265 930318 1011722 1510942 1517583 1550530 1860636 2023444 2266413 2325795 2529305 3021884 3035166 3101060 3777355 4532826 4651590 5058610 6070332 7287491 7554710 7587915 9065652 9303180 10117220 11332065 14574982 15109420 15175830 21862473 22664130 29149964 30351660 35507137 36437455 43724946 45328260 71014274 72874910 87449892 106521411 109312365 142028548 145749820 177535685 213042822 218624730 355071370 426085644 437249460 532607055 710142740 1065214110 1668835439 2130428220 3337670878 5006506317 6675341756 8344177195 10013012634 16688354390 20026025268 25032531585 33376708780 50065063170 100130126340