Search a number
-
+
103200615414 = 232133711919683
BaseRepresentation
bin110000000011100111…
…1000110101111110110
3100212101020011110012100
41200013033012233312
53142323324143124
6115224255202530
710312256520531
oct1400717065766
9325336143170
10103200615414
113a849069906
1218001816446
139968935410
144dd0169a18
152a4020a1c9
hex18073c6bf6

103200615414 has 48 divisors (see below), whose sum is σ = 247309603632. Its totient is φ = 30895815744.

The previous prime is 103200615383. The next prime is 103200615439. The reversal of 103200615414 is 414516002301.

It is a happy number.

103200615414 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 0 + 615 + 41 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5951184 + ... + 5968499.

It is an arithmetic number, because the mean of its divisors is an integer number (5152283409).

Almost surely, 2103200615414 is an apocalyptic number.

103200615414 is an abundant number, since it is smaller than the sum of its proper divisors (144108988218).

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

103200615414 is a wasteful number, since it uses less digits than its factorization.

103200615414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11919741 (or 11919738 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 103200615414 its reverse (414516002301), we get a palindrome (517716617715).

The spelling of 103200615414 in words is "one hundred three billion, two hundred million, six hundred fifteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 11919683 23839366 35759049 71518098 107277147 154955879 214554294 309911758 441028271 464867637 882056542 929735274 1323084813 1394602911 2646169626 2789205822 3969254439 5733367523 7938508878 11466735046 17200102569 34400205138 51600307707 103200615414