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112300302690 = 2345138642349
BaseRepresentation
bin110100010010110011…
…1101010000101100010
3101201212101211110110000
41220211213222011202
53314442334141230
6123331241120430
711053622552202
oct1504547520542
9351771743400
10112300302690
1143698658614
1219921189116
13a788c49a64
1456148d0402
152dc4028b60
hex1a259ea162

112300302690 has 40 divisors (see below), whose sum is σ = 301963038300. Its totient is φ = 29946747168.

The previous prime is 112300302677. The next prime is 112300302691. The reversal of 112300302690 is 96203003211.

It can be written as a sum of positive squares in 2 ways, for example, as 110883006081 + 1417296609 = 332991^2 + 37647^2 .

It is a super-2 number, since 2×1123003026902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112300302691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69320365 + ... + 69321984.

Almost surely, 2112300302690 is an apocalyptic number.

112300302690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112300302690 is an abundant number, since it is smaller than the sum of its proper divisors (189662735610).

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

112300302690 is a wasteful number, since it uses less digits than its factorization.

112300302690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138642368 (or 138642359 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 112300302690 in words is "one hundred twelve billion, three hundred million, three hundred two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 138642349 277284698 415927047 693211745 831854094 1247781141 1386423490 2079635235 2495562282 3743343423 4159270470 6238905705 7486686846 11230030269 12477811410 18716717115 22460060538 37433434230 56150151345 112300302690