Search a number
-
+
100141311020 = 225127275314321
BaseRepresentation
bin101110101000011100…
…0110010010000101100
3100120111000112200112012
41131100320302100230
53120042133423040
6114000531500352
710143411045662
oct1352070622054
9316430480465
10100141311020
1139519183173
12174a91576b8
13959bb8872a
144bbdb26c32
15291184e865
hex1750e3242c

100141311020 has 48 divisors (see below), whose sum is σ = 212044428288. Its totient is φ = 39723909120.

The previous prime is 100141311019. The next prime is 100141311031. The reversal of 100141311020 is 20113141001.

It is a junction number, because it is equal to n+sod(n) for n = 100141310986 and 100141311004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6985460 + ... + 6999780.

It is an arithmetic number, because the mean of its divisors is an integer number (4417592256).

Almost surely, 2100141311020 is an apocalyptic number.

100141311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100141311020 is an abundant number, since it is smaller than the sum of its proper divisors (111903117268).

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

100141311020 is a wasteful number, since it uses less digits than its factorization.

100141311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17210 (or 17208 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100141311020 its reverse (20113141001), we get a palindrome (120254452021).

The spelling of 100141311020 in words is "one hundred billion, one hundred forty-one million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1270 2540 2753 5506 11012 13765 14321 27530 28642 55060 57284 71605 143210 286420 349631 699262 1398524 1748155 1818767 3496310 3637534 6992620 7275068 9093835 18187670 36375340 39425713 78851426 157702852 197128565 394257130 788514260 5007065551 10014131102 20028262204 25035327755 50070655510 100141311020