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103420031 = 1131343139
BaseRepresentation
bin1100010101000…
…01000001111111
321012121021121112
412022201001333
5202433420111
614132352235
72364025061
oct612410177
9235537545
10103420031
1153418000
122a77567b
13185703b0
14da41731
15912ce8b
hex62a107f

103420031 has 32 divisors (see below), whose sum is σ = 126255360. Its totient is φ = 84157920.

The previous prime is 103420019. The next prime is 103420033. The reversal of 103420031 is 130024301.

It is a de Polignac number, because none of the positive numbers 2k-103420031 is a prime.

It is a super-2 number, since 2×1034200312 = 21391405624081922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103419988 and 103420015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103420033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743960 + ... + 744098.

It is an arithmetic number, because the mean of its divisors is an integer number (3945480).

Almost surely, 2103420031 is an apocalyptic number.

103420031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103420031 is a deficient number, since it is larger than the sum of its proper divisors (22835329).

103420031 is a wasteful number, since it uses less digits than its factorization.

103420031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103420031 is about 10169.5639532873. The cubic root of 103420031 is about 469.3911400695.

Adding to 103420031 its reverse (130024301), we get a palindrome (233444332).

The spelling of 103420031 in words is "one hundred three million, four hundred twenty thousand, thirty-one".

Divisors: 1 11 13 43 121 139 143 473 559 1331 1529 1573 1807 5203 5977 6149 16819 17303 19877 57233 65747 67639 77701 185009 218647 723217 744029 854711 2405117 7955387 9401821 103420031