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100122130020 = 223511217811231
BaseRepresentation
bin101110100111110111…
…1100111011001100100
3100120102200110012010210
41131033233213121210
53120022231130040
6113555004415420
710143056030463
oct1351757473144
9316380405123
10100122130020
1139509372200
12174a2847570
139597c01023
144bbb3729da
15290ed11480
hex174fbe7664

100122130020 has 144 divisors (see below), whose sum is σ = 326271020544. Its totient is φ = 22844236800.

The previous prime is 100122130019. The next prime is 100122130033. The reversal of 100122130020 is 20031221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100122129978 and 100122130005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282196 + ... + 529035.

It is an arithmetic number, because the mean of its divisors is an integer number (2265770976).

Almost surely, 2100122130020 is an apocalyptic number.

100122130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122130020 is an abundant number, since it is smaller than the sum of its proper divisors (226148890524).

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

100122130020 is a wasteful number, since it uses less digits than its factorization.

100122130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811282 (or 811269 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100122130020 its reverse (20031221001), we get a palindrome (120153351021).

The spelling of 100122130020 in words is "one hundred billion, one hundred twenty-two million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 660 726 748 935 1020 1122 1210 1452 1815 1870 2057 2244 2420 2805 3630 3740 4114 5610 6171 7260 8228 10285 11220 12342 20570 24684 30855 41140 61710 123420 811231 1622462 2433693 3244924 4056155 4867386 8112310 8923541 9734772 12168465 13790927 16224620 17847082 24336930 26770623 27581854 35694164 41372781 44617705 48673860 53541246 55163708 68954635 82745562 89235410 98158951 107082492 133853115 137909270 151700197 165491124 178470820 196317902 206863905 267706230 275818540 294476853 303400394 392635804 413727810 455100591 490794755 535412460 588953706 606800788 758500985 827455620 910201182 981589510 1177907412 1472384265 1517001970 1668702167 1820402364 1963179020 2275502955 2944768530 3034003940 3337404334 4551005910 5006106501 5889537060 6674808668 8343510835 9102011820 10012213002 16687021670 20024426004 25030532505 33374043340 50061065010 100122130020