Search a number
-
+
100113310020 = 223519711236883
BaseRepresentation
bin101110100111100110…
…1111110000101000100
3100120102001212002101010
41131033031332011010
53120013001410040
6113554051402220
710142621044263
oct1351715760504
9316361762333
10100113310020
1139504398649
121749b8b3370
1395961335a9
144bba1185da
15290e16ce80
hex174f37e144

100113310020 has 96 divisors (see below), whose sum is σ = 299226977280. Its totient is φ = 24935541120.

The previous prime is 100113309997. The next prime is 100113310021. The reversal of 100113310020 is 20013311001.

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 = 100113309978 and 100113310005.

It is not an unprimeable number, because it can be changed into a prime (100113310021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537502 + ... + 699381.

It is an arithmetic number, because the mean of its divisors is an integer number (3116947680).

Almost surely, 2100113310020 is an apocalyptic number.

100113310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100113310020 is an abundant number, since it is smaller than the sum of its proper divisors (199113667260).

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

100113310020 is a wasteful number, since it uses less digits than its factorization.

100113310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236985 (or 1236983 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100113310020 its reverse (20013311001), we get a palindrome (120126621021).

The spelling of 100113310020 in words is "one hundred billion, one hundred thirteen million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 71 76 95 114 142 190 213 228 284 285 355 380 426 570 710 852 1065 1140 1349 1420 2130 2698 4047 4260 5396 6745 8094 13490 16188 20235 26980 40470 80940 1236883 2473766 3710649 4947532 6184415 7421298 12368830 14842596 18553245 23500777 24737660 37106490 47001554 70502331 74212980 87818693 94003108 117503885 141004662 175637386 235007770 263456079 282009324 351274772 352511655 439093465 470015540 526912158 705023310 878186930 1053824316 1317280395 1410046620 1668555167 1756373860 2634560790 3337110334 5005665501 5269121580 6674220668 8342775835 10011331002 16685551670 20022662004 25028327505 33371103340 50056655010 100113310020