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1231301132001 = 321737982922129
BaseRepresentation
bin10001111010101111010…
…001000011111011100001
311100201012111022100220200
4101322233101003323201
5130133201042211001
62341352452255413
7154646534635443
oct21725721037341
94321174270820
101231301132001
11435212430926
1217a774311569
138c15a3c30a5
14438496aa493
1522067b7a086
hex11eaf443ee1

1231301132001 has 48 divisors (see below), whose sum is σ = 1934347006800. Its totient is φ = 751590088704.

The previous prime is 1231301131993. The next prime is 1231301132029. The reversal of 1231301132001 is 1002311031321.

1231301132001 is a `hidden beast` number, since 1 + 231 + 301 + 132 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 764839451601 + 466461680400 = 874551^2 + 682980^2 .

It is not a de Polignac number, because 1231301132001 - 23 = 1231301131993 is a prime.

It is a super-2 number, since 2×12313011320012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1231301132051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55630905 + ... + 55653033.

It is an arithmetic number, because the mean of its divisors is an integer number (40298895975).

Almost surely, 21231301132001 is an apocalyptic number.

It is an amenable number.

1231301132001 is a deficient number, since it is larger than the sum of its proper divisors (703045874799).

1231301132001 is a wasteful number, since it uses less digits than its factorization.

1231301132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32018 (or 32015 counting only the distinct ones).

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

Adding to 1231301132001 its reverse (1002311031321), we get a palindrome (2233612163322).

The spelling of 1231301132001 in words is "one trillion, two hundred thirty-one billion, three hundred one million, one hundred thirty-two thousand, one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 9829 22129 29487 66387 88461 167093 199161 363673 376193 501279 818773 1091019 1128579 1503837 2456319 3273057 3385737 6182441 7368957 13919141 18547323 41757423 55641969 125272269 217505941 652517823 1957553469 3697600997 8047719817 11092802991 24143159451 33278408973 72429478353 136811236889 410433710667 1231301132001