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13111000312 = 2319437327479
BaseRepresentation
bin11000011010111100…
…11111110011111000
31020211201122211021011
430031132133303320
5203322404002222
610004554123304
7642621443464
oct141536376370
936751584234
1013111000312
1156188aa653
12265aa20534
13130c397467
148c53c14a4
1551b07ac77
hex30d79fcf8

13111000312 has 64 divisors (see below), whose sum is σ = 26842464000. Its totient is φ = 5982729984.

The previous prime is 13111000303. The next prime is 13111000313. The reversal of 13111000312 is 21300011131.

It is a junction number, because it is equal to n+sod(n) for n = 13111000292 and 13111000301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111000313) 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, 463389 + ... + 490867.

It is an arithmetic number, because the mean of its divisors is an integer number (419413500).

Almost surely, 213111000312 is an apocalyptic number.

It is an amenable number.

13111000312 is an abundant number, since it is smaller than the sum of its proper divisors (13731463688).

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

13111000312 is a wasteful number, since it uses less digits than its factorization.

13111000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27620 (or 27616 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13111000312 its reverse (21300011131), we get a palindrome (34411011443).

The spelling of 13111000312 in words is "thirteen billion, one hundred eleven million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 19 38 43 73 76 86 146 152 172 292 344 584 817 1387 1634 2774 3139 3268 5548 6278 6536 11096 12556 25112 27479 54958 59641 109916 119282 219832 238564 477128 522101 1044202 1181597 2005967 2088404 2363194 4011934 4176808 4726388 8023868 9452776 16047736 22450343 38113373 44900686 76226746 86256581 89801372 152453492 172513162 179602744 304906984 345026324 690052648 1638875039 3277750078 6555500156 13111000312