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100314423006 = 23719613205069
BaseRepresentation
bin101110101101100110…
…1001001111011011110
3100120221002021200112020
41131123031021323132
53120420443014011
6114030034121010
710150612345440
oct1353315117336
9316832250466
10100314423006
11395a7970826
1217537120166
1395c89ba365
144bd8b0a490
152921b47006
hex175b349ede

100314423006 has 64 divisors (see below), whose sum is σ = 241752921600. Its totient is φ = 27108349056.

The previous prime is 100314422983. The next prime is 100314423023. The reversal of 100314423006 is 600324413001.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386640 + ... + 591708.

It is an arithmetic number, because the mean of its divisors is an integer number (3777389400).

Almost surely, 2100314423006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100314423006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120876460800).

100314423006 is an abundant number, since it is smaller than the sum of its proper divisors (141438498594).

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

100314423006 is a wasteful number, since it uses less digits than its factorization.

100314423006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205713.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100314423006 its reverse (600324413001), we get a palindrome (700638836007).

The spelling of 100314423006 in words is "one hundred billion, three hundred fourteen million, four hundred twenty-three thousand, six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 613 798 1226 1839 3678 4291 8582 11647 12873 23294 25746 34941 69882 81529 163058 205069 244587 410138 489174 615207 1230414 1435483 2870966 3896311 4306449 7792622 8612898 11688933 23377866 27274177 54548354 81822531 125707297 163645062 251414594 377121891 754243782 879951079 1759902158 2388438643 2639853237 4776877286 5279706474 7165315929 14330631858 16719070501 33438141002 50157211503 100314423006