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100424414314 = 27611377331171
BaseRepresentation
bin101110110000111000…
…0101111010001101010
3100121012202020211020101
41131201300233101222
53121132122224224
6114045003420014
710153416303010
oct1354160572152
9317182224211
10100424414314
1139653a66934
1217567b2460a
13961571b783
144c0957c8b0
15292b622044
hex1761c2f46a

100424414314 has 64 divisors (see below), whose sum is σ = 176646765312. Its totient is φ = 41931302400.

The previous prime is 100424414281. The next prime is 100424414323. The reversal of 100424414314 is 413414424001.

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, 85758949 + ... + 85760119.

It is an arithmetic number, because the mean of its divisors is an integer number (2760105708).

Almost surely, 2100424414314 is an apocalyptic number.

100424414314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100424414314 is a deficient number, since it is larger than the sum of its proper divisors (76222350998).

100424414314 is a wasteful number, since it uses less digits than its factorization.

100424414314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 100424414314 its reverse (413414424001), we get a palindrome (513838838315).

The spelling of 100424414314 in words is "one hundred billion, four hundred twenty-four million, four hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 7 14 61 122 137 274 427 733 854 959 1171 1466 1918 2342 5131 8197 8357 10262 16394 16714 44713 58499 71431 89426 100421 116998 142862 160427 200842 312991 320854 500017 625982 702947 858343 1000034 1122989 1405894 1716686 2245978 6008401 6125681 9786047 12016802 12251362 19572094 42879767 52358923 68502329 85759534 104717846 117592991 137004658 235185982 366512461 733024922 823150937 1646301874 7173172451 14346344902 50212207157 100424414314