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10401445103431 = 1311971279315127
BaseRepresentation
bin1001011101011100011001…
…1100001100011101000111
31100211100221121000111001111
42113113012130030131013
52330404124421302211
634042205150505451
72122323335412664
oct227270634143507
940740847014044
1010401445103431
113350256660a78
1211bba52b05287
135a5b0cca7a45
1427d60b1c4a6b
15130873640421
hex975c670c747

10401445103431 has 16 divisors (see below), whose sum is σ = 10542317322240. Its totient is φ = 10261586593440.

The previous prime is 10401445103419. The next prime is 10401445103501. The reversal of 10401445103431 is 13430154410401.

It is a cyclic number.

It is not a de Polignac number, because 10401445103431 - 237 = 10264006149959 is a prime.

It is a super-2 number, since 2×104014451034312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10401445103393 and 10401445103402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401445113431) 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 15 ways as a sum of consecutive naturals, for example, 32849590 + ... + 33164716.

It is an arithmetic number, because the mean of its divisors is an integer number (658894832640).

Almost surely, 210401445103431 is an apocalyptic number.

10401445103431 is a deficient number, since it is larger than the sum of its proper divisors (140872218809).

10401445103431 is a wasteful number, since it uses less digits than its factorization.

10401445103431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316734.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 10401445103431 its reverse (13430154410401), we get a palindrome (23831599513832).

The spelling of 10401445103431 in words is "ten trillion, four hundred one billion, four hundred forty-five million, one hundred three thousand, four hundred thirty-one".

Divisors: 1 131 197 1279 25807 167549 251963 315127 33007153 41281637 62080019 403047433 8132482489 52799213723 79400344301 10401445103431