Search a number
-
+
105235334130 = 23523152514977
BaseRepresentation
bin110001000000010000…
…0111100001111110010
3101001122000211212112210
41202000200330033302
53211010221143010
6120202222232550
710413554403213
oct1420040741762
9331560755483
10105235334130
11406a266a123
121848b125756
139c013474a4
1451444a140a
152b0db79b20
hex188083c3f2

105235334130 has 32 divisors (see below), whose sum is σ = 263545881984. Its totient is φ = 26842635776.

The previous prime is 105235334089. The next prime is 105235334173. The reversal of 105235334130 is 31433532501.

It is a super-2 number, since 2×1052353341302 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76256799 + ... + 76258178.

It is an arithmetic number, because the mean of its divisors is an integer number (8235808812).

Almost surely, 2105235334130 is an apocalyptic number.

105235334130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105235334130 is an abundant number, since it is smaller than the sum of its proper divisors (158310547854).

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

105235334130 is a wasteful number, since it uses less digits than its factorization.

105235334130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152515010.

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 105235334130 its reverse (31433532501), we get a palindrome (136668866631).

The spelling of 105235334130 in words is "one hundred five billion, two hundred thirty-five million, three hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 152514977 305029954 457544931 762574885 915089862 1525149770 2287724655 3507844471 4575449310 7015688942 10523533413 17539222355 21047066826 35078444710 52617667065 105235334130