Search a number
-
+
100090100100 = 223521272126227
BaseRepresentation
bin101110100110111010…
…1011011100110000100
3100120100110011220100110
41131031311123212010
53114441031200400
6113551502113020
710142216546004
oct1351565334604
9316313156313
10100090100100
11394a22856a1
1217493b7b770
139591398103
144bb6dd6004
15290c0d5e50
hex174dd5b984

100090100100 has 72 divisors (see below), whose sum is σ = 289627830688. Its totient is φ = 26687577600.

The previous prime is 100090099957. The next prime is 100090100101. The reversal of 100090100100 is 1001090001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100090100101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3803187 + ... + 3829413.

Almost surely, 2100090100100 is an apocalyptic number.

100090100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100090100100 is an abundant number, since it is smaller than the sum of its proper divisors (189537730588).

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

100090100100 is a wasteful number, since it uses less digits than its factorization.

100090100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38965 (or 38958 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 100090100100 its reverse (1001090001), we get a palindrome (101091190101).

The spelling of 100090100100 in words is "one hundred billion, ninety million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 12721 25442 26227 38163 50884 52454 63605 76326 78681 104908 127210 131135 152652 157362 190815 254420 262270 314724 318025 381630 393405 524540 636050 655675 763260 786810 954075 1272100 1311350 1573620 1908150 1967025 2622700 3816300 3934050 7868100 333633667 667267334 1000901001 1334534668 1668168335 2001802002 3336336670 4003604004 5004505005 6672673340 8340841675 10009010010 16681683350 20018020020 25022525025 33363366700 50045050050 100090100100