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10244020311 = 32721131991033
BaseRepresentation
bin10011000101001011…
…10101100001010111
3222102220221011001200
421202211311201113
5131434432122221
64412300523543
7511566510300
oct114245654127
928386834050
1010244020311
114387534098
121b9a8505b3
13c734181a5
146d27237a7
153ee510426
hex262975857

10244020311 has 72 divisors (see below), whose sum is σ = 17469223200. Its totient is φ = 5767179264.

The previous prime is 10244020289. The next prime is 10244020331. The reversal of 10244020311 is 11302044201.

10244020311 is a `hidden beast` number, since 10 + 2 + 440 + 203 + 11 = 666.

10244020311 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 10244020311 - 217 = 10243889239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244020331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9916251 + ... + 9917283.

It is an arithmetic number, because the mean of its divisors is an integer number (242628100).

Almost surely, 210244020311 is an apocalyptic number.

10244020311 is a deficient number, since it is larger than the sum of its proper divisors (7225202889).

10244020311 is a wasteful number, since it uses less digits than its factorization.

10244020311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10244020311 its reverse (11302044201), we get a palindrome (21546064512).

The spelling of 10244020311 in words is "ten billion, two hundred forty-four million, twenty thousand, three hundred eleven".

Divisors: 1 3 7 9 21 49 63 113 147 199 339 441 597 791 1017 1033 1393 1791 2373 3099 4179 5537 7119 7231 9297 9751 12537 16611 21693 22487 29253 49833 50617 65079 67461 87759 116729 151851 157409 202383 205567 350187 455553 472227 616701 817103 1050561 1101863 1416681 1438969 1850103 2451309 3305589 4316907 5719721 7353927 9916767 10072783 12950721 17159163 23229071 30218349 51477489 69687213 90655047 162603497 209061639 487810491 1138224479 1463431473 3414673437 10244020311