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12302341020 = 22335157145109
BaseRepresentation
bin10110111010100011…
…01101001110011100
31011202101000200021000
423131101231032130
5200143344403040
65352425510300
7613602113304
oct133521551634
934671020230
1012302341020
115243394992
122474042390
1312109a2038
14849c40604
154c0093130
hex2dd46d39c

12302341020 has 96 divisors (see below), whose sum is σ = 38517998400. Its totient is φ = 3259706112.

The previous prime is 12302340983. The next prime is 12302341021. The reversal of 12302341020 is 2014320321.

12302341020 is a `hidden beast` number, since 1 + 2 + 302 + 341 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12302340984 and 12302341002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302341021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12226 + ... + 157334.

It is an arithmetic number, because the mean of its divisors is an integer number (401229150).

Almost surely, 212302341020 is an apocalyptic number.

12302341020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19258999200).

12302341020 is an abundant number, since it is smaller than the sum of its proper divisors (26215657380).

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

12302341020 is a wasteful number, since it uses less digits than its factorization.

12302341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145284 (or 145276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12302341020 its reverse (2014320321), we get a palindrome (14316661341).

The spelling of 12302341020 in words is "twelve billion, three hundred two million, three hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 270 314 471 540 628 785 942 1413 1570 1884 2355 2826 3140 4239 4710 5652 7065 8478 9420 14130 16956 21195 28260 42390 84780 145109 290218 435327 580436 725545 870654 1305981 1451090 1741308 2176635 2611962 2902180 3917943 4353270 5223924 6529905 7835886 8706540 13059810 15671772 19589715 22782113 26119620 39179430 45564226 68346339 78358860 91128452 113910565 136692678 205039017 227821130 273385356 341731695 410078034 455642260 615117051 683463390 820156068 1025195085 1230234102 1366926780 2050390170 2460468204 3075585255 4100780340 6151170510 12302341020