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105215132414 = 278819852179
BaseRepresentation
bin110000111111101001…
…1111000001011111110
3101001120121211112000002
41201333103320023332
53210440033214124
6120200221234302
710413220604120
oct1417723701376
9331517745002
10105215132414
1140692221297
1218484402992
139bca0c3302
145141923210
152b0bed90ae
hex187f4f82fe

105215132414 has 16 divisors (see below), whose sum is σ = 180389462400. Its totient is φ = 45087033624.

The previous prime is 105215132389. The next prime is 105215132417. The reversal of 105215132414 is 414231512501.

It is a happy number.

It is a super-2 number, since 2×1052151324142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105215132417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302624 + ... + 549555.

It is an arithmetic number, because the mean of its divisors is an integer number (11274341400).

Almost surely, 2105215132414 is an apocalyptic number.

105215132414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105215132414 is a deficient number, since it is larger than the sum of its proper divisors (75174329986).

105215132414 is an equidigital number, since it uses as much as digits as its factorization.

105215132414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861007.

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 105215132414 its reverse (414231512501), we get a palindrome (519446644915).

The spelling of 105215132414 in words is "one hundred five billion, two hundred fifteen million, one hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 7 14 8819 17638 61733 123466 852179 1704358 5965253 11930506 7515366601 15030733202 52607566207 105215132414