Search a number
-
+
109934100100 = 22521199940091
BaseRepresentation
bin110011001100010010…
…1010011111010000100
3101111202111101220201001
41212120211103322010
53300121112200400
6122300353143044
710641161301316
oct1463045237204
9344674356631
10109934100100
1142693a2a590
121938085aa84
13a49c965696
14546c54b7b6
152cd642ba6a
hex1998953e84

109934100100 has 36 divisors (see below), whose sum is σ = 260243999568. Its totient is φ = 39976036000.

The previous prime is 109934100061. The next prime is 109934100103. The reversal of 109934100100 is 1001439901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (109934100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49968946 + ... + 49971145.

It is an arithmetic number, because the mean of its divisors is an integer number (7228999988).

Almost surely, 2109934100100 is an apocalyptic number.

109934100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109934100100 is an abundant number, since it is smaller than the sum of its proper divisors (150309899468).

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

109934100100 is a wasteful number, since it uses less digits than its factorization.

109934100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99940116 (or 99940109 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 109934100100 in words is "one hundred nine billion, nine hundred thirty-four million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 99940091 199880182 399760364 499700455 999400910 1099341001 1998801820 2198682002 2498502275 4397364004 4997004550 5496705005 9994009100 10993410010 21986820020 27483525025 54967050050 109934100100