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13032000113031 = 331786413285749
BaseRepresentation
bin1011110110100011111110…
…1111001100100110000111
31201010211212111100200221000
42331220333233030212013
53202004014012104111
643414452422024343
72513350053152514
oct275507757144607
951124774320830
1013032000113031
1141749273582a9
1215658325780b3
13736bb2537143
14330a75d5830b
15178ed3b96c56
hexbda3fbcc987

13032000113031 has 32 divisors (see below), whose sum is σ = 20444725080000. Its totient is φ = 8175992463360.

The previous prime is 13032000112979. The next prime is 13032000113071. The reversal of 13032000113031 is 13031100023031.

It is a happy number.

13032000113031 is a `hidden beast` number, since 1 + 30 + 320 + 0 + 0 + 11 + 303 + 1 = 666.

It is not a de Polignac number, because 13032000113031 - 29 = 13032000112519 is a prime.

It is a super-2 number, since 2×130320001130312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13032000112995 and 13032000113013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032000113071) 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, 2323345 + ... + 5609093.

It is an arithmetic number, because the mean of its divisors is an integer number (638897658750).

Almost surely, 213032000113031 is an apocalyptic number.

13032000113031 is a deficient number, since it is larger than the sum of its proper divisors (7412724966969).

13032000113031 is a wasteful number, since it uses less digits than its factorization.

13032000113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294416 (or 3294410 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13032000113031 its reverse (13031100023031), we get a palindrome (26063100136062).

The spelling of 13032000113031 in words is "thirteen trillion, thirty-two billion, one hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 17 27 51 153 459 8641 25923 77769 146897 233307 440691 1322073 3285749 3966219 9857247 29571741 55857733 88715223 167573199 502719597 1508158791 28392157109 85176471327 255529413981 482666670853 766588241943 1448000012559 4344000037677 13032000113031