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10024030213431 = 3131941329944051
BaseRepresentation
bin1001000111011110011011…
…0000101001010100110111
31022111021202220022120120020
42101313212300221110313
52303213203213312211
633152550443540223
72053132545652503
oct221674660512467
938437686276506
1010024030213431
113215192803043
12115a88352a673
135793537a2a20
14269246791303
15125b34901306
hex91de6c29537

10024030213431 has 32 divisors (see below), whose sum is σ = 15520568206080. Its totient is φ = 5701433184000.

The previous prime is 10024030213403. The next prime is 10024030213471. The reversal of 10024030213431 is 13431203042001.

It is a happy number.

It is not a de Polignac number, because 10024030213431 - 26 = 10024030213367 is a prime.

It is a super-2 number, since 2×100240302134312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024030213471) 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 31 ways as a sum of consecutive naturals, for example, 164941645 + ... + 165002406.

It is an arithmetic number, because the mean of its divisors is an integer number (485017756440).

Almost surely, 210024030213431 is an apocalyptic number.

10024030213431 is a deficient number, since it is larger than the sum of its proper divisors (5496537992649).

10024030213431 is a wasteful number, since it uses less digits than its factorization.

10024030213431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329944127.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10024030213431 its reverse (13431203042001), we get a palindrome (23455233255432).

The spelling of 10024030213431 in words is "ten trillion, twenty-four billion, thirty million, two hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 13 19 39 41 57 123 247 533 741 779 1599 2337 10127 30381 329944051 989832153 4289272663 6268936969 12867817989 13527706091 18806810907 40583118273 81496180597 175860179183 244488541791 257026415729 527580537549 771079247187 3341343404477 10024030213431