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106380408315 = 3517340994377
BaseRepresentation
bin110001100010011000…
…1000011010111111011
3101011120211111200000210
41203010301003113323
53220331341031230
6120512005202203
710454130360006
oct1430461032773
9334524450023
10106380408315
114112aa70325
121874a700363
13a05464a48c
1452125b453d
152b79465eb0
hex18c4c435fb

106380408315 has 16 divisors (see below), whose sum is σ = 171192522528. Its totient is φ = 56408261376.

The previous prime is 106380408293. The next prime is 106380408353. The reversal of 106380408315 is 513804083601.

It is not a de Polignac number, because 106380408315 - 27 = 106380408187 is a prime.

It is a super-2 number, since 2×1063804083152 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 20494594 + ... + 20499783.

It is an arithmetic number, because the mean of its divisors is an integer number (10699532658).

Almost surely, 2106380408315 is an apocalyptic number.

106380408315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106380408315 is a deficient number, since it is larger than the sum of its proper divisors (64812114213).

106380408315 is a wasteful number, since it uses less digits than its factorization.

106380408315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40994558.

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 106380408315 in words is "one hundred six billion, three hundred eighty million, four hundred eight thousand, three hundred fifteen".

Divisors: 1 3 5 15 173 519 865 2595 40994377 122983131 204971885 614915655 7092027221 21276081663 35460136105 106380408315