Search a number
-
+
103027772130 = 23533739101789
BaseRepresentation
bin101111111110011101…
…1110000101011100010
3100211221011221002210020
41133330323300223202
53142000102202010
6115155202414310
710305060420333
oct1377473605342
9324834832706
10103027772130
113a76a545118
1217b73961396
13993bb98b9a
144db521628a
152a2ee67470
hex17fcef0ae2

103027772130 has 32 divisors (see below), whose sum is σ = 247276411200. Its totient is φ = 27472988352.

The previous prime is 103027772093. The next prime is 103027772153. The reversal of 103027772130 is 31277720301.

103027772130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030277721302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103027772091 and 103027772100.

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 15 ways as a sum of consecutive naturals, for example, 961276 + ... + 1063064.

It is an arithmetic number, because the mean of its divisors is an integer number (7727387850).

Almost surely, 2103027772130 is an apocalyptic number.

103027772130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103027772130 is an abundant number, since it is smaller than the sum of its proper divisors (144248639070).

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

103027772130 is a wasteful number, since it uses less digits than its factorization.

103027772130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135538.

The product of its (nonzero) digits is 12348, while the sum is 33.

The spelling of 103027772130 in words is "one hundred three billion, twenty-seven million, seven hundred seventy-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 33739 67478 101217 101789 168695 202434 203578 305367 337390 506085 508945 610734 1012170 1017890 1526835 3053670 3434259071 6868518142 10302777213 17171295355 20605554426 34342590710 51513886065 103027772130