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105213163341 = 31113317911359
BaseRepresentation
bin110000111111100110…
…0010111011101001101
3101001120111010110221110
41201333030113131031
53210434032211331
6120200111122233
710413165063306
oct1417714273515
9331514113843
10105213163341
11406910a6960
1218483813379
139bc9883c90
14514156d7ad
152b0bc4a946
hex187f31774d

105213163341 has 32 divisors (see below), whose sum is σ = 170125885440. Its totient is φ = 56961777600.

The previous prime is 105213163331. The next prime is 105213163409. The reversal of 105213163341 is 143361312501.

It is not a de Polignac number, because 105213163341 - 27 = 105213163213 is a prime.

It is a super-2 number, since 2×1052131633412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105213163299 and 105213163308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105213163301) 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, 3942381 + ... + 3968978.

It is an arithmetic number, because the mean of its divisors is an integer number (5316433920).

Almost surely, 2105213163341 is an apocalyptic number.

105213163341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105213163341 is a deficient number, since it is larger than the sum of its proper divisors (64912722099).

105213163341 is a wasteful number, since it uses less digits than its factorization.

105213163341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911417.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 105213163341 its reverse (143361312501), we get a palindrome (248574475842).

The spelling of 105213163341 in words is "one hundred five billion, two hundred thirteen million, one hundred sixty-three thousand, three hundred forty-one".

Divisors: 1 3 11 13 31 33 39 93 143 341 403 429 1023 1209 4433 13299 7911359 23734077 87024949 102847667 245252129 261074847 308543001 735756387 1131324337 2697773419 3188277677 3393973011 8093320257 9564833031 35071054447 105213163341