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100433043340 = 225719911873037
BaseRepresentation
bin101110110001001000…
…1101001111110001100
3100121020100111020000221
41131202101221332030
53121141324341330
6114045512401124
710153552532350
oct1354221517614
9317210436027
10100433043340
113965891aa63
121756a9a61a4
1396174502c6
144c0a787460
15292c278b7a
hex1762469f8c

100433043340 has 96 divisors (see below), whose sum is σ = 242534476800. Its totient is φ = 34221014784.

The previous prime is 100433043317. The next prime is 100433043371. The reversal of 100433043340 is 43340334001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33068302 + ... + 33071338.

It is an arithmetic number, because the mean of its divisors is an integer number (2526400800).

Almost surely, 2100433043340 is an apocalyptic number.

100433043340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100433043340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121267238400).

100433043340 is an abundant number, since it is smaller than the sum of its proper divisors (142101433460).

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

100433043340 is a wasteful number, since it uses less digits than its factorization.

100433043340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 100433043340 its reverse (43340334001), we get a palindrome (143773377341).

The spelling of 100433043340 in words is "one hundred billion, four hundred thirty-three million, forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1187 1393 1990 2374 2786 3037 3980 4748 5572 5935 6074 6965 8309 11870 12148 13930 15185 16618 21259 23740 27860 30370 33236 41545 42518 60740 83090 85036 106295 166180 212590 236213 425180 472426 604363 944852 1181065 1208726 1653491 2362130 2417452 3021815 3306982 3604919 4230541 4724260 6043630 6613964 7209838 8267455 8461082 12087260 14419676 16534910 16922164 18024595 21152705 25234433 33069820 36049190 42305410 50468866 72098380 84610820 100937732 126172165 252344330 504688660 717378881 1434757762 2869515524 3586894405 5021652167 7173788810 10043304334 14347577620 20086608668 25108260835 50216521670 100433043340