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10214132423999 = 712833309134369
BaseRepresentation
bin1001010010100010100110…
…1111000001110100111111
31100011110110110011110110212
42110220221233001310333
52314322020400031444
633420150242023035
72102642503044530
oct224505157016477
940143413143425
1010214132423999
113288875520579
12118b698347a7b
1359125b34045a
1427451c118687
1512aa5de5719e
hex94a29bc1d3f

10214132423999 has 16 divisors (see below), whose sum is σ = 11683085594880. Its totient is φ = 8747627927040.

The previous prime is 10214132423977. The next prime is 10214132424049. The reversal of 10214132423999 is 99932423141201.

It is a cyclic number.

It is not a de Polignac number, because 10214132423999 - 28 = 10214132423743 is a prime.

It is a super-2 number, since 2×102141324239992 (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 (10214132423699) 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, 297173087 + ... + 297207455.

It is an arithmetic number, because the mean of its divisors is an integer number (730192849680).

Almost surely, 210214132423999 is an apocalyptic number.

10214132423999 is a deficient number, since it is larger than the sum of its proper divisors (1468953170881).

10214132423999 is a wasteful number, since it uses less digits than its factorization.

10214132423999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68750.

The product of its (nonzero) digits is 839808, while the sum is 50.

The spelling of 10214132423999 in words is "ten trillion, two hundred fourteen billion, one hundred thirty-two million, four hundred twenty-three thousand, nine hundred ninety-nine".

Divisors: 1 7 1283 8981 33091 34369 231637 240583 42455753 44095427 297190271 308667989 1137304579 7961132053 1459161774857 10214132423999