Search a number
-
+
106141373 = 13139151389
BaseRepresentation
bin1100101001110…
…01011010111101
321101201112120222
412110321122331
5204133010443
614310551125
72426121032
oct624713275
9241645528
10106141373
1154a06648
122b6684a5
1318cb3c60
141014d389
1594b9468
hex65396bd

106141373 has 16 divisors (see below), whose sum is σ = 116188800. Its totient is φ = 96379200.

The previous prime is 106141367. The next prime is 106141381. The reversal of 106141373 is 373141601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106141373 is a prime.

It is a super-2 number, since 2×1061413732 = 22531982124650258, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106146373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272663 + ... + 273051.

It is an arithmetic number, because the mean of its divisors is an integer number (7261800).

Almost surely, 2106141373 is an apocalyptic number.

106141373 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106141373 is a deficient number, since it is larger than the sum of its proper divisors (10047427).

106141373 is a wasteful number, since it uses less digits than its factorization.

106141373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 106141373 is about 10302.4935331210. The cubic root of 106141373 is about 473.4726535048.

Adding to 106141373 its reverse (373141601), we get a palindrome (479282974).

The spelling of 106141373 in words is "one hundred six million, one hundred forty-one thousand, three hundred seventy-three".

Divisors: 1 13 139 151 389 1807 1963 5057 20989 54071 58739 272857 702923 763607 8164721 106141373