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100100103033320 = 23513312200312381
BaseRepresentation
bin10110110000101001011111…
…000101010101000111101000
3111010102110212021211111200022
4112300221133011111013220
5101110020002334031240
6552521204050100012
730040664603655365
oct2660513705250750
9433373767744608
10100100103033320
1129993240615785
12b2880a1b7a608
1343b15260bba40
141aa0c2981346c
15b88c77aac9b5
hex5b0a5f1551e8

100100103033320 has 96 divisors (see below), whose sum is σ = 250626846110760. Its totient is φ = 35767778572800.

The previous prime is 100100103033299. The next prime is 100100103033353. The reversal of 100100103033320 is 23330301001001.

It can be written as a sum of positive squares in 4 ways, for example, as 86212302063364 + 13887800969956 = 9285058^2 + 3726634^2 .

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 23 ways as a sum of consecutive naturals, for example, 99656471 + ... + 100655910.

Almost surely, 2100100103033320 is an apocalyptic number.

100100103033320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100103033320 is an abundant number, since it is smaller than the sum of its proper divisors (150526743077440).

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

100100103033320 is a wasteful number, since it uses less digits than its factorization.

100100103033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200312467 (or 200312432 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 100100103033320 its reverse (23330301001001), we get a palindrome (123430404034321).

The spelling of 100100103033320 in words is "one hundred trillion, one hundred billion, one hundred three million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 961 1240 1612 1922 2015 3224 3844 4030 4805 7688 8060 9610 12493 16120 19220 24986 38440 49972 62465 99944 124930 249860 499720 200312381 400624762 801249524 1001561905 1602499048 2003123810 2604060953 4006247620 5208121906 6209683811 8012495240 10416243812 12419367622 13020304765 20832487624 24838735244 26040609530 31048419055 49677470488 52081219060 62096838110 80725889543 104162438120 124193676220 161451779086 192500198141 248387352440 322903558172 385000396282 403629447715 645807116344 770000792564 807258895430 962500990705 1540001585128 1614517790860 1925001981410 2502502575833 3229035581720 3850003962820 5005005151666 7700007925640 10010010303332 12512512879165 20020020606664 25025025758330 50050051516660 100100103033320