Search a number
-
+
103386020340 = 22351723100339
BaseRepresentation
bin110000001001001001…
…0010111100111110100
3100212212011000222221110
41200102102113213310
53143213310122330
6115254521115020
710320000446631
oct1402222274764
9325764028843
10103386020340
113a933793319
1218053928a70
13999817c485
14500aa2d188
152a5162edb0
hex18124979f4

103386020340 has 24 divisors (see below), whose sum is σ = 289480857120. Its totient is φ = 27569605408.

The previous prime is 103386020333. The next prime is 103386020347. The reversal of 103386020340 is 43020683301.

It is an interprime number because it is at equal distance from previous prime (103386020333) and next prime (103386020347).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103386020298 and 103386020307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103386020347) 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 7 ways as a sum of consecutive naturals, for example, 861550110 + ... + 861550229.

It is an arithmetic number, because the mean of its divisors is an integer number (12061702380).

Almost surely, 2103386020340 is an apocalyptic number.

103386020340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103386020340 is an abundant number, since it is smaller than the sum of its proper divisors (186094836780).

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

103386020340 is a wasteful number, since it uses less digits than its factorization.

103386020340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723100351 (or 1723100349 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 103386020340 in words is "one hundred three billion, three hundred eighty-six million, twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1723100339 3446200678 5169301017 6892401356 8615501695 10338602034 17231003390 20677204068 25846505085 34462006780 51693010170 103386020340