Search a number
-
+
106002455385203 = 1345679851181243
BaseRepresentation
bin11000000110100010011110…
…101100101101010001110011
3111220022201212101002120110122
4120012202132230231101303
5102343221012034311303
61013240504501120455
731220265443114036
oct3006423654552163
9456281771076418
10106002455385203
113085943064a8a3
12ba7bb9b9b912b
13471bcb10b3ca0
141c26790b5b01d
15c3c5790bde38
hex60689eb2d473

106002455385203 has 16 divisors (see below), whose sum is σ = 114193707269376. Its totient is φ = 97816524890400.

The previous prime is 106002455385181. The next prime is 106002455385257. The reversal of 106002455385203 is 302583554200601.

It is a cyclic number.

It is not a de Polignac number, because 106002455385203 - 232 = 105998160417907 is a prime.

It is a super-2 number, since 2×1060024553852032 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106002455385293) 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 15 ways as a sum of consecutive naturals, for example, 584773100 + ... + 584954342.

It is an arithmetic number, because the mean of its divisors is an integer number (7137106704336).

Almost surely, 2106002455385203 is an apocalyptic number.

106002455385203 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106002455385203 is a deficient number, since it is larger than the sum of its proper divisors (8191251884173).

106002455385203 is a wasteful number, since it uses less digits than its factorization.

106002455385203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195674.

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 106002455385203 in words is "one hundred six trillion, two billion, four hundred fifty-five million, three hundred eighty-five thousand, two hundred three".

Divisors: 1 13 4567 9851 59371 128063 181243 2356159 44989517 584863721 827736781 1785424793 10760578153 23210522309 8154035029631 106002455385203