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10103033311 = 729109563811
BaseRepresentation
bin10010110100011000…
…00000110111011111
3222002002122021020221
421122030000313133
5131142334031221
64350303022211
7505235236420
oct113214006737
928062567227
1010103033311
114314998508
121b5b59a967
13c50153827
146bbb03647
153e1e61541
hex25a300ddf

10103033311 has 32 divisors (see below), whose sum is σ = 12090355200. Its totient is φ = 8259511680.

The previous prime is 10103033299. The next prime is 10103033329. The reversal of 10103033311 is 11333030101.

10103033311 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 10103033311 - 27 = 10103033183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103033371) 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 31 ways as a sum of consecutive naturals, for example, 12457096 + ... + 12457906.

It is an arithmetic number, because the mean of its divisors is an integer number (377823600).

Almost surely, 210103033311 is an apocalyptic number.

10103033311 is a deficient number, since it is larger than the sum of its proper divisors (1987321889).

10103033311 is a wasteful number, since it uses less digits than its factorization.

10103033311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10103033311 its reverse (11333030101), we get a palindrome (21436063412).

The spelling of 10103033311 in words is "ten billion, one hundred three million, thirty-three thousand, three hundred eleven".

Divisors: 1 7 29 109 203 563 763 811 3161 3941 5677 16327 22127 23519 61367 88399 114289 164633 429569 456593 618793 1779643 2563571 3196151 12457501 13241197 17944997 49768637 92688379 348380459 1443290473 10103033311