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39131121930401 = 1923591597189067
BaseRepresentation
bin10001110010110111011001…
…00111110101000010100001
312010112220021011112210122002
420321123230213311002201
520112111014203233101
6215120331135453345
711146062452234114
oct1071335447650241
9163486234483562
1039131121930401
1111517463202216
12447ba59687255
1318ab0837623b7
14993d5654857b
1547cd54a82d6b
hex2396ec9f50a1

39131121930401 has 24 divisors (see below), whose sum is σ = 41440241874240. Its totient is φ = 36944981702496.

The previous prime is 39131121930367. The next prime is 39131121930443. The reversal of 39131121930401 is 10403912113193.

39131121930401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 39131121930401 - 218 = 39131121668257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39131121030401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206875070 + ... + 207064136.

It is an arithmetic number, because the mean of its divisors is an integer number (1726676744760).

Almost surely, 239131121930401 is an apocalyptic number.

It is an amenable number.

39131121930401 is a deficient number, since it is larger than the sum of its proper divisors (2309119943839).

39131121930401 is a wasteful number, since it uses less digits than its factorization.

39131121930401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191061 (or 191042 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The spelling of 39131121930401 in words is "thirty-nine trillion, one hundred thirty-one billion, one hundred twenty-one million, nine hundred thirty thousand, four hundred one".

Divisors: 1 19 359 361 1597 6821 30343 129599 189067 573323 576517 3592273 10893137 67875053 68253187 206969603 301939999 1289626007 5736859981 24502894133 108396459641 109000339639 2059532733179 39131121930401