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13213000012311 = 3211200476657587
BaseRepresentation
bin1100000001000110010000…
…1011000001001000010111
31201210011001200121021010100
43000101210023001020113
53212440211000343221
644033545102025143
72532415313004051
oct300214413011027
951704050537110
1013213000012311
114234669054620
121594926b781b3
1374ac99381a68
143397268768d1
1517da79061926
hexc04642c1217

13213000012311 has 24 divisors (see below), whose sum is σ = 20821526578944. Its totient is φ = 8007478137360.

The previous prime is 13213000012273. The next prime is 13213000012313. The reversal of 13213000012311 is 11321000031231.

13213000012311 is a `hidden beast` number, since 1 + 321 + 30 + 0 + 0 + 0 + 1 + 2 + 311 = 666.

It is not a de Polignac number, because 13213000012311 - 27 = 13213000012183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213000012313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1344141 + ... + 5313446.

It is an arithmetic number, because the mean of its divisors is an integer number (867563607456).

Almost surely, 213213000012311 is an apocalyptic number.

13213000012311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13213000012311 is a deficient number, since it is larger than the sum of its proper divisors (7608526566633).

13213000012311 is a wasteful number, since it uses less digits than its factorization.

13213000012311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677651 (or 6677648 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13213000012311 its reverse (11321000031231), we get a palindrome (24534000043542).

The spelling of 13213000012311 in words is "thirteen trillion, two hundred thirteen billion, twelve thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 20047 60141 180423 220517 661551 1984653 6657587 19972761 59918283 73233457 219700371 659101113 133464646589 400393939767 1201181819301 1468111112479 4404333337437 13213000012311