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13031211001140 = 2232572395616673
BaseRepresentation
bin1011110110100001000010…
…1100111110010100110100
31201010202211111111122220200
42331220100230332110310
53202000410004014030
643414242232400500
72513321361624663
oct275502054762464
951122744448820
1013031211001140
114174561983912
121565652246130
13736ab7bc7127
143309dd224dda
15178e89770d60
hexbda10b3e534

13031211001140 has 36 divisors (see below), whose sum is σ = 39528006704004. Its totient is φ = 3474989600256.

The previous prime is 13031211001099. The next prime is 13031211001141. The reversal of 13031211001140 is 4110011213031.

It is a happy number.

13031211001140 is a `hidden beast` number, since 1 + 303 + 121 + 100 + 1 + 140 = 666.

13031211001140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7798637100816 + 5232573900324 = 2792604^2 + 2287482^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×130312110011402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031211001141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36197808157 + ... + 36197808516.

Almost surely, 213031211001140 is an apocalyptic number.

13031211001140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13031211001140 is an abundant number, since it is smaller than the sum of its proper divisors (26496795702864).

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

13031211001140 is a wasteful number, since it uses less digits than its factorization.

13031211001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72395616688 (or 72395616683 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13031211001140 its reverse (4110011213031), we get a palindrome (17141222214171).

The spelling of 13031211001140 in words is "thirteen trillion, thirty-one billion, two hundred eleven million, one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72395616673 144791233346 217186850019 289582466692 361978083365 434373700038 651560550057 723956166730 868747400076 1085934250095 1303121100114 1447912333460 2171868500190 2606242200228 3257802750285 4343737000380 6515605500570 13031211001140