Search a number
-
+
100105561050 = 235211411479757
BaseRepresentation
bin101110100111011000…
…0011010001111011010
3100120101112021101210020
41131032300122033122
53120004010423200
6113553213331310
710142465141445
oct1351660321732
9316345241706
10100105561050
11394aaa85740
1217499196b36
13959464c4c1
144bb909c65c
15290d63bea0
hex174ec1a3da

100105561050 has 96 divisors (see below), whose sum is σ = 277436867904. Its totient is φ = 23676096000.

The previous prime is 100105561043. The next prime is 100105561093. The reversal of 100105561050 is 50165501001.

It is a super-2 number, since 2×1001055610502 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100105561050.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672229 + ... + 807528.

It is an arithmetic number, because the mean of its divisors is an integer number (2889967374).

Almost surely, 2100105561050 is an apocalyptic number.

100105561050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105561050 is an abundant number, since it is smaller than the sum of its proper divisors (177331306854).

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

100105561050 is a wasteful number, since it uses less digits than its factorization.

100105561050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479824 (or 1479819 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 100105561050 in words is "one hundred billion, one hundred five million, five hundred sixty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 41 50 55 66 75 82 110 123 150 165 205 246 275 330 410 451 550 615 825 902 1025 1230 1353 1650 2050 2255 2706 3075 4510 6150 6765 11275 13530 22550 33825 67650 1479757 2959514 4439271 7398785 8878542 14797570 16277327 22196355 32554654 36993925 44392710 48831981 60670037 73987850 81386635 97663962 110981775 121340074 162773270 182010111 221963550 244159905 303350185 364020222 406933175 488319810 606700370 667370407 813866350 910050555 1220799525 1334740814 1516750925 1820101110 2002111221 2441599050 3033501850 3336852035 4004222442 4550252775 6673704070 9100505550 10010556105 16684260175 20021112210 33368520350 50052780525 100105561050