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10024213199 = 711132839281
BaseRepresentation
bin10010101010111110…
…10101101011001111
3221212121022210101112
421111133111223033
5131012144310244
64334405402235
7503260256240
oct112537255317
927777283345
1010024213199
114284452820
121b3910937b
13c39a17500
146b1466cc7
153da09239e
hex2557d5acf

10024213199 has 48 divisors (see below), whose sum is σ = 13697558784. Its totient is φ = 7122585600.

The previous prime is 10024213159. The next prime is 10024213219. The reversal of 10024213199 is 99131242001.

It is a de Polignac number, because none of the positive numbers 2k-10024213199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024213139) 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, 1075439 + ... + 1084719.

It is an arithmetic number, because the mean of its divisors is an integer number (285365808).

Almost surely, 210024213199 is an apocalyptic number.

10024213199 is a deficient number, since it is larger than the sum of its proper divisors (3673345585).

10024213199 is a wasteful number, since it uses less digits than its factorization.

10024213199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408 (or 9395 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 10024213199 in words is "ten billion, twenty-four million, two hundred thirteen thousand, one hundred ninety-nine".

Divisors: 1 7 11 13 77 83 91 143 169 581 913 1001 1079 1183 1859 6391 7553 9281 11869 13013 14027 64967 83083 98189 102091 120653 154297 714637 770323 844571 1080079 1327183 1568489 5392261 8473553 9290281 10014199 10979423 17253379 59314871 70099393 110156189 120773653 130184587 771093323 911292109 1432030457 10024213199