Search a number
-
+
106857723270 = 23512781278689
BaseRepresentation
bin110001110000100110…
…1110111010110000110
3101012211002122210001110
41203201031313112012
53222321034121040
6121031215505450
710502014442544
oct1434115672606
9335732583043
10106857723270
11413554430a1
1218862528286
13a0cc4bbc6c
145259b42d94
152ba62ec980
hex18e1377586

106857723270 has 32 divisors (see below), whose sum is σ = 256479521760. Its totient is φ = 28493061120.

The previous prime is 106857723257. The next prime is 106857723299. The reversal of 106857723270 is 72327758601.

It is a super-2 number, since 2×1068577232702 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 244086 + ... + 522774.

It is an arithmetic number, because the mean of its divisors is an integer number (8014985055).

Almost surely, 2106857723270 is an apocalyptic number.

106857723270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106857723270 is an abundant number, since it is smaller than the sum of its proper divisors (149621798490).

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

106857723270 is a wasteful number, since it uses less digits than its factorization.

106857723270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291480.

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 106857723270 in words is "one hundred six billion, eight hundred fifty-seven million, seven hundred twenty-three thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 12781 25562 38343 63905 76686 127810 191715 278689 383430 557378 836067 1393445 1672134 2786890 4180335 8360670 3561924109 7123848218 10685772327 17809620545 21371544654 35619241090 53428861635 106857723270