Search a number
-
+
100110111020 = 22517319498113
BaseRepresentation
bin101110100111100000…
…1110001000100101100
3100120101211211120011122
41131033001301010230
53120011142023040
6113553455040112
710142551621613
oct1351701610454
9316354746148
10100110111020
1139502603147
121749a810038
1395955834aa
144bb992487a
15290dc3a1b5
hex174f07112c

100110111020 has 48 divisors (see below), whose sum is σ = 229778373888. Its totient is φ = 36472750080.

The previous prime is 100110110999. The next prime is 100110111077. The reversal of 100110111020 is 20111011001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100110110989 and 100110111007.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4738517 + ... + 4759596.

It is an arithmetic number, because the mean of its divisors is an integer number (4787049456).

Almost surely, 2100110111020 is an apocalyptic number.

100110111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110111020 is an abundant number, since it is smaller than the sum of its proper divisors (129668262868).

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

100110111020 is a wasteful number, since it uses less digits than its factorization.

100110111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9498170 (or 9498168 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100110111020 its reverse (20111011001), we get a palindrome (120221122021).

The spelling of 100110111020 in words is "one hundred billion, one hundred ten million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 9498113 18996226 37992452 47490565 94981130 161467921 189962260 294441503 322935842 588883006 645871684 807339605 1177766012 1472207515 1614679210 2944415030 3229358420 5005505551 5888830060 10011011102 20022022204 25027527755 50055055510 100110111020