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211146161303 = 7115215263259
BaseRepresentation
bin1100010010100101001…
…0101011110010010111
3202012000010202100100102
43010221102223302113
511424411404130203
6240555455004315
721153253521050
oct3045122536227
9665003670312
10211146161303
118160155a160
1234b0850969b
1316bac6003ac
14a31055b727
15575bc85888
hex31294abc97

211146161303 has 16 divisors (see below), whose sum is σ = 263752485120. Its totient is φ = 164213649600.

The previous prime is 211146161297. The next prime is 211146161311. The reversal of 211146161303 is 303161641112.

211146161303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211146161303 - 24 = 211146161287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211146161383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2591513 + ... + 2671746.

It is an arithmetic number, because the mean of its divisors is an integer number (16484530320).

Almost surely, 2211146161303 is an apocalyptic number.

211146161303 is a deficient number, since it is larger than the sum of its proper divisors (52606323817).

211146161303 is a wasteful number, since it uses less digits than its factorization.

211146161303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263798.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 211146161303 in words is "two hundred eleven billion, one hundred forty-six million, one hundred sixty-one thousand, three hundred three".

Divisors: 1 7 11 77 521 3647 5731 40117 5263259 36842813 57895849 405270943 2742157939 19195105573 30163737329 211146161303