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12331011313000 = 235312331011313
BaseRepresentation
bin1011001101110000100110…
…0011001000110101101000
31121122211111101021001112201
42303130021203020311220
53104012402344004000
642120442143145544
72411612645523202
oct263341143106550
947584441231481
1012331011313000
113a246094655a6
1214719ba8a52b4
136b5a6a281b33
14308b775bd772
15165b57dc196a
hexb37098c8d68

12331011313000 has 32 divisors (see below), whose sum is σ = 28854566474760. Its totient is φ = 4932404524800.

The previous prime is 12331011312953. The next prime is 12331011313001. The reversal of 12331011313000 is 31311013321.

It can be written as a sum of positive squares in 4 ways, for example, as 1943063147844 + 10387948165156 = 1393938^2 + 3223034^2 .

It is not an unprimeable number, because it can be changed into a prime (12331011313001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6165504657 + ... + 6165506656.

Almost surely, 212331011313000 is an apocalyptic number.

12331011313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12331011313000 is an abundant number, since it is smaller than the sum of its proper divisors (16523555161760).

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

12331011313000 is a wasteful number, since it uses less digits than its factorization.

12331011313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12331011334 (or 12331011320 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 12331011313000 its reverse (31311013321), we get a palindrome (12362322326321).

The spelling of 12331011313000 in words is "twelve trillion, three hundred thirty-one billion, eleven million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12331011313 24662022626 49324045252 61655056565 98648090504 123310113130 246620226260 308275282825 493240452520 616550565650 1233101131300 1541376414125 2466202262600 3082752828250 6165505656500 12331011313000