Search a number
-
+
106541215515 = 3357112742027
BaseRepresentation
bin110001100111001011…
…0011110111100011011
3101012000001002112001000
41203032112132330123
53221144022344030
6120535552000043
710461122250450
oct1431626367433
9335001075030
10106541215515
1141202814139
1218794530023
13a07ba61477
145229ab3827
152b8862c860
hex18ce59ef1b

106541215515 has 32 divisors (see below), whose sum is σ = 216464693760. Its totient is φ = 48704555232.

The previous prime is 106541215511. The next prime is 106541215519. The reversal of 106541215515 is 515512145601.

106541215515 is a `hidden beast` number, since 1 + 0 + 65 + 41 + 2 + 1 + 551 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106541215511) and next prime (106541215519).

It is not a de Polignac number, because 106541215515 - 22 = 106541215511 is a prime.

It is a super-2 number, since 2×1065412155152 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106541215515.

It is not an unprimeable number, because it can be changed into a prime (106541215511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56370069 + ... + 56371958.

It is an arithmetic number, because the mean of its divisors is an integer number (6764521680).

Almost surely, 2106541215515 is an apocalyptic number.

106541215515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106541215515 is an abundant number, since it is smaller than the sum of its proper divisors (109923478245).

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

106541215515 is a wasteful number, since it uses less digits than its factorization.

106541215515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112742048 (or 112742042 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 106541215515 in words is "one hundred six billion, five hundred forty-one million, two hundred fifteen thousand, five hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 112742027 338226081 563710135 789194189 1014678243 1691130405 2367582567 3044034729 3945970945 5073391215 7102747701 11837912835 15220173645 21308243103 35513738505 106541215515