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10101233103 = 313421161507
BaseRepresentation
bin10010110100001010…
…01001010111001111
3222001222020210211120
421122011021113033
5131141403424403
64350200252023
7505214031123
oct113205112717
928058223746
1010101233103
114313978a35
121b5aa71013
13c4c973310
146bb795583
153e1c07e53
hex25a1495cf

10101233103 has 16 divisors (see below), whose sum is σ = 14508014976. Its totient is φ = 6214566240.

The previous prime is 10101233101. The next prime is 10101233117. The reversal of 10101233103 is 30133210101.

10101233103 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 10101233103 - 21 = 10101233101 is a prime.

It is a super-2 number, since 2×101012331032 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101233101) 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 15 ways as a sum of consecutive naturals, for example, 133476 + ... + 194982.

It is an arithmetic number, because the mean of its divisors is an integer number (906750936).

Almost surely, 210101233103 is an apocalyptic number.

10101233103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10101233103 is a deficient number, since it is larger than the sum of its proper divisors (4406781873).

10101233103 is a wasteful number, since it uses less digits than its factorization.

10101233103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65734.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10101233103 its reverse (30133210101), we get a palindrome (40234443204).

The spelling of 10101233103 in words is "ten billion, one hundred one million, two hundred thirty-three thousand, one hundred three".

Divisors: 1 3 13 39 4211 12633 54743 61507 164229 184521 799591 2398773 259005977 777017931 3367077701 10101233103