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106338330375 = 353617459593
BaseRepresentation
bin110001100001001000…
…0100010011100000111
3101011110220022212221120
41203002100202130013
53220240103033000
6120503503245023
710453106615544
oct1430220423407
9334426285846
10106338330375
1141109240572
12187385a9773
13a048a06ba4
14520ab7dbcb
152b759036a0
hex18c2422707

106338330375 has 32 divisors (see below), whose sum is σ = 177234153408. Its totient is φ = 56621734400.

The previous prime is 106338330347. The next prime is 106338330407. The reversal of 106338330375 is 573033833601.

It is not a de Polignac number, because 106338330375 - 29 = 106338329863 is a prime.

It is a super-2 number, since 2×1063383303752 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1579 + ... + 461171.

It is an arithmetic number, because the mean of its divisors is an integer number (5538567294).

Almost surely, 2106338330375 is an apocalyptic number.

106338330375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106338330375 is a deficient number, since it is larger than the sum of its proper divisors (70895823033).

106338330375 is an equidigital number, since it uses as much as digits as its factorization.

106338330375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460228 (or 460218 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 106338330375 in words is "one hundred six billion, three hundred thirty-eight million, three hundred thirty thousand, three hundred seventy-five".

Divisors: 1 3 5 15 25 75 125 375 617 1851 3085 9255 15425 46275 77125 231375 459593 1378779 2297965 6893895 11489825 34469475 57449125 172347375 283568881 850706643 1417844405 4253533215 7089222025 21267666075 35446110125 106338330375