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10020313303 = 7111331973329
BaseRepresentation
bin10010101010100000…
…11101100011010111
3221212022222122201221
421111100131203113
5131010200011203
64334150031211
7503212154260
oct112520354327
927768878657
1010020313303
114282229770
121b37948507
13c38c80390
146b0b2d967
153d9a71abd
hex25541d8d7

10020313303 has 64 divisors (see below), whose sum is σ = 14035230720. Its totient is φ = 6900940800.

The previous prime is 10020313297. The next prime is 10020313319. The reversal of 10020313303 is 30331302001.

10020313303 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 10020313303 - 229 = 9483442391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020313333) 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 63 ways as a sum of consecutive naturals, for example, 3008343 + ... + 3011671.

It is an arithmetic number, because the mean of its divisors is an integer number (219300480).

Almost surely, 210020313303 is an apocalyptic number.

10020313303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10020313303 is a deficient number, since it is larger than the sum of its proper divisors (4014917417).

10020313303 is a wasteful number, since it uses less digits than its factorization.

10020313303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 10020313303 its reverse (30331302001), we get a palindrome (40351615304).

It can be divided in two parts, 10020 and 313303, that added together give a palindrome (323323).

The spelling of 10020313303 in words is "ten billion, twenty million, three hundred thirteen thousand, three hundred three".

Divisors: 1 7 11 13 31 77 91 97 143 217 341 403 679 1001 1067 1261 2387 2821 3007 3329 4433 7469 8827 13871 21049 23303 31031 33077 36619 39091 43277 97097 103199 231539 256333 273637 302939 322913 430001 476047 722393 1135189 1341587 2260391 3010007 3332329 3552043 4197869 7946323 9391109 10010303 14757457 24864301 29385083 46176559 70072121 103302199 110113333 130133939 323235913 770793331 910937573 1431473329 10020313303