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100130232240 = 2433559378173
BaseRepresentation
bin101110101000000111…
…0100001011110110000
3100120110020200211022000
41131100032201132300
53120031314412430
6113555454214000
710143214634223
oct1352016413660
9316406624260
10100130232240
11395129a6555
12174a54b4300
1395997a9b3c
144bbc4815ba
1529108b1e60
hex17503a17b0

100130232240 has 160 divisors (see below), whose sum is σ = 345479048640. Its totient is φ = 26656026624.

The previous prime is 100130232173. The next prime is 100130232253. The reversal of 100130232240 is 42232031001.

100130232240 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 302 + 322 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1241794 + ... + 1319966.

It is an arithmetic number, because the mean of its divisors is an integer number (2159244054).

Almost surely, 2100130232240 is an apocalyptic number.

100130232240 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 100130232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172739524320).

100130232240 is an abundant number, since it is smaller than the sum of its proper divisors (245348816400).

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

100130232240 is a wasteful number, since it uses less digits than its factorization.

100130232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78788 (or 78776 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100130232240 its reverse (42232031001), we get a palindrome (142362263241).

The spelling of 100130232240 in words is "one hundred billion, one hundred thirty million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 593 720 1080 1186 1779 2160 2372 2965 3558 4744 5337 5930 7116 8895 9488 10674 11860 14232 16011 17790 21348 23720 26685 28464 32022 35580 42696 47440 53370 64044 71160 78173 80055 85392 106740 128088 142320 156346 160110 213480 234519 256176 312692 320220 390865 426960 469038 625384 640440 703557 781730 938076 1172595 1250768 1280880 1407114 1563460 1876152 2110671 2345190 2814228 3126920 3517785 3752304 4221342 4690380 5628456 6253840 7035570 8442684 9380760 10553355 11256912 14071140 16885368 18761520 21106710 28142280 33770736 42213420 46356589 56284560 84426840 92713178 139069767 168853680 185426356 231782945 278139534 370852712 417209301 463565890 556279068 695348835 741705424 834418602 927131780 1112558136 1251627903 1390697670 1668837204 1854263560 2086046505 2225116272 2503255806 2781395340 3337674408 3708527120 4172093010 5006511612 5562790680 6258139515 6675348816 8344186020 10013023224 11125581360 12516279030 16688372040 20026046448 25032558060 33376744080 50065116120 100130232240