Search a number
-
+
109210424375286 = 23313475960379293
BaseRepresentation
bin11000110101001110001000…
…100011001111011111110110
3112022200102012020201011201000
4120311032020203033133312
5103303300422120002121
61024134324253544130
732001123060452313
oct3065161043173766
9468612166634630
10109210424375286
11318859764a4993
12102b98661a5046
1348c2663c095b0
141cd7b54249d0a
15c95c316a9526
hex6353888cf7f6

109210424375286 has 256 divisors, whose sum is σ = 271517325004800. Its totient is φ = 32321983827456.

The previous prime is 109210424375281. The next prime is 109210424375291. The reversal of 109210424375286 is 682573424012901.

It is a happy number.

109210424375286 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 104 + 2 + 4 + 3 + 7 + 528 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (109210424375281) and next prime (109210424375291).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109210424375281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11751897256 + ... + 11751906548.

It is an arithmetic number, because the mean of its divisors is an integer number (1060614550800).

It is a 1-persistent number, because it is pandigital, but 2⋅109210424375286 = 218420848750572 is not.

Almost surely, 2109210424375286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109210424375286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135758662502400).

109210424375286 is an abundant number, since it is smaller than the sum of its proper divisors (162306900629514).

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

109210424375286 is a wasteful number, since it uses less digits than its factorization.

109210424375286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15460 (or 15454 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 109210424375286 in words is "one hundred nine trillion, two hundred ten billion, four hundred twenty-four million, three hundred seventy-five thousand, two hundred eighty-six".