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12331021300 = 22521373129937
BaseRepresentation
bin10110111101111110…
…00111001111110100
31011211100222210012121
423132333013033310
5200223220140200
65355332325324
7614400644263
oct133677071764
934740883177
1012331021300
1152585a38a4
122481773844
131216904410
1484d9885da
154c285ae1a
hex2defc73f4

12331021300 has 72 divisors (see below), whose sum is σ = 29211621656. Its totient is φ = 4490588160.

The previous prime is 12331021267. The next prime is 12331021301. The reversal of 12331021300 is 312013321.

It can be written as a sum of positive squares in 12 ways, for example, as 6044751504 + 6286269796 = 77748^2 + 79286^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331021301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29932 + ... + 159868.

Almost surely, 212331021300 is an apocalyptic number.

12331021300 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 12331021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605810828).

12331021300 is an abundant number, since it is smaller than the sum of its proper divisors (16880600356).

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

12331021300 is a wasteful number, since it uses less digits than its factorization.

12331021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130037 (or 130030 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12331021300 its reverse (312013321), we get a palindrome (12643034621).

The spelling of 12331021300 in words is "twelve billion, three hundred thirty-one million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 73 100 130 146 260 292 325 365 650 730 949 1300 1460 1825 1898 3650 3796 4745 7300 9490 18980 23725 47450 94900 129937 259874 519748 649685 1299370 1689181 2598740 3248425 3378362 6496850 6756724 8445905 9485401 12993700 16891810 18970802 33783620 37941604 42229525 47427005 84459050 94854010 123310213 168918100 189708020 237135025 246620426 474270050 493240852 616551065 948540100 1233102130 2466204260 3082755325 6165510650 12331021300