Search a number
-
+
106376062523 = 2979208322291
BaseRepresentation
bin110001100010010000…
…0011110011000111011
3101011120112022212201112
41203010200132120323
53220324233000043
6120511332110535
710454045420033
oct1430440363073
9334515285645
10106376062523
1141128572265
121874916544b
13a0537883c3
145211ba28c3
152b78da8518
hex18c481e63b

106376062523 has 16 divisors (see below), whose sum is σ = 111495667200. Its totient is φ = 101354591520.

The previous prime is 106376062519. The next prime is 106376062537. The reversal of 106376062523 is 325260673601.

It is a cyclic number.

It is not a de Polignac number, because 106376062523 - 22 = 106376062519 is a prime.

It is a super-2 number, since 2×1063760625232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106376032523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4761008 + ... + 4783298.

It is an arithmetic number, because the mean of its divisors is an integer number (6968479200).

Almost surely, 2106376062523 is an apocalyptic number.

106376062523 is a deficient number, since it is larger than the sum of its proper divisors (5119604677).

106376062523 is a wasteful number, since it uses less digits than its factorization.

106376062523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24482.

The product of its (nonzero) digits is 272160, while the sum is 41.

The spelling of 106376062523 in words is "one hundred six billion, three hundred seventy-six million, sixty-two thousand, five hundred twenty-three".

Divisors: 1 29 79 2083 2291 22291 60407 164557 646439 1760989 4772153 46432153 51068681 1346532437 3668140087 106376062523