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103412120 = 23572271627
BaseRepresentation
bin1100010100111…
…11000110011000
321012120212202112
412022133012120
5202433141440
614132251452
72363663030
oct612370630
9235525675
10103412120
1153412069
122a770b88
1318569906
14da3c8c0
15912a965
hex629f198

103412120 has 64 divisors (see below), whose sum is σ = 267252480. Its totient is φ = 35277696.

The previous prime is 103412093. The next prime is 103412123. The reversal of 103412120 is 21214301.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 103412095 and 103412104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103412123) 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 15 ways as a sum of consecutive naturals, for example, 62747 + ... + 64373.

It is an arithmetic number, because the mean of its divisors is an integer number (4175820).

Almost surely, 2103412120 is an apocalyptic number.

103412120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133626240).

103412120 is an abundant number, since it is smaller than the sum of its proper divisors (163840360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103412120 is a wasteful number, since it uses less digits than its factorization.

103412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 103412120 is about 10169.1749911190. The cubic root of 103412120 is about 469.3791712469.

Adding to 103412120 its reverse (21214301), we get a palindrome (124626421).

The spelling of 103412120 in words is "one hundred three million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 227 280 454 908 1135 1589 1627 1816 2270 3178 3254 4540 6356 6508 7945 8135 9080 11389 12712 13016 15890 16270 22778 31780 32540 45556 56945 63560 65080 91112 113890 227780 369329 455560 738658 1477316 1846645 2585303 2954632 3693290 5170606 7386580 10341212 12926515 14773160 20682424 25853030 51706060 103412120