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12103242320 = 2451373159421
BaseRepresentation
bin10110100010110100…
…01101001001010000
31011020111101102012002
423101122031021100
5144241412223240
65320554253132
7605633601521
oct132132151120
934214342162
1012103242320
115150a68104
1224194271a8
1311ab672060
1482b614848
154ac865d15
hex2d168d250

12103242320 has 80 divisors (see below), whose sum is σ = 30719981712. Its totient is φ = 4407644160.

The previous prime is 12103242317. The next prime is 12103242323. The reversal of 12103242320 is 2324230121.

It is an interprime number because it is at equal distance from previous prime (12103242317) and next prime (12103242323).

It can be written as a sum of positive squares in 8 ways, for example, as 54228496 + 12049013824 = 7364^2 + 109768^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12103242292 and 12103242301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103242323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3791 + ... + 155630.

Almost surely, 212103242320 is an apocalyptic number.

12103242320 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 12103242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15359990856).

12103242320 is an abundant number, since it is smaller than the sum of its proper divisors (18616739392).

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

12103242320 is a wasteful number, since it uses less digits than its factorization.

12103242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159520 (or 159514 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12103242320 its reverse (2324230121), we get a palindrome (14427472441).

The spelling of 12103242320 in words is "twelve billion, one hundred three million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 146 208 260 292 365 520 584 730 949 1040 1168 1460 1898 2920 3796 4745 5840 7592 9490 15184 18980 37960 75920 159421 318842 637684 797105 1275368 1594210 2072473 2550736 3188420 4144946 6376840 8289892 10362365 11637733 12753680 16579784 20724730 23275466 33159568 41449460 46550932 58188665 82898920 93101864 116377330 151290529 165797840 186203728 232754660 302581058 465509320 605162116 756452645 931018640 1210324232 1512905290 2420648464 3025810580 6051621160 12103242320