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12321000010313 = 1779149569108211
BaseRepresentation
bin1011001101001011010011…
…0101000011001001001001
31121121212122200020012001022
42303102310311003021021
53103331402000312223
642112104514202225
72411106603044621
oct263226465031111
947555580205038
1012321000010313
113a20341330725
12146ba85b83375
136b4b33137ba7
143084a7b57881
1516576e02eac8
hexb34b4d43249

12321000010313 has 32 divisors (see below), whose sum is σ = 13323061440000. Its totient is φ = 11352513669120.

The previous prime is 12321000010289. The next prime is 12321000010339. The reversal of 12321000010313 is 31301000012321.

It is a cyclic number.

It is not a de Polignac number, because 12321000010313 - 216 = 12320999944777 is a prime.

It is a super-2 number, since 2×123210000103132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12321000010291 and 12321000010300.

It is not an unprimeable number, because it can be changed into a prime (12321000010343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113806778 + ... + 113914988.

It is an arithmetic number, because the mean of its divisors is an integer number (416345670000).

Almost surely, 212321000010313 is an apocalyptic number.

It is an amenable number.

12321000010313 is a deficient number, since it is larger than the sum of its proper divisors (1002061429687).

12321000010313 is a wasteful number, since it uses less digits than its factorization.

12321000010313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109025.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12321000010313 its reverse (31301000012321), we get a palindrome (43622000022634).

The spelling of 12321000010313 in words is "twelve trillion, three hundred twenty-one billion, ten thousand, three hundred thirteen".

Divisors: 1 17 79 149 569 1343 2533 9673 11771 44951 84781 108211 200107 764167 1441277 1839587 6697699 8548669 16123439 61572059 113860883 145327373 274098463 1046725003 1273751681 4864192661 9174236791 21653778577 82691275237 155962025447 724764706489 12321000010313