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11371876321 = 1346312
BaseRepresentation
bin10101001011101000…
…10000111111100001
31002100112012011122111
422211310100333201
5141242200020241
65120230435321
7551543232241
oct124564207741
932315164574
1011371876321
114906144aa3
122254502b41
1310c2ca0000
1479c433b21
15468549c81
hex2a5d10fe1

11371876321 has 15 divisors (see below), whose sum is σ = 12339054213. Its totient is φ = 10480480920.

The previous prime is 11371876319. The next prime is 11371876337. The reversal of 11371876321 is 12367817311.

The square root of 11371876321 is 106639.

It is a perfect power (a square), and thus also a powerful number.

11371876321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5638357921 + 5733518400 = 75089^2 + 75720^2 .

It is not a de Polignac number, because 11371876321 - 21 = 11371876319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11371876381) 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 14 ways as a sum of consecutive naturals, for example, 18021676 + ... + 18022306.

Almost surely, 211371876321 is an apocalyptic number.

11371876321 is the 106639-th square number.

11371876321 is the 53320-th centered octagonal number.

It is an amenable number.

11371876321 is a deficient number, since it is larger than the sum of its proper divisors (967177892).

11371876321 is an frugal number, since it uses more digits than its factorization.

11371876321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 644 counting only the distinct ones).

The product of its digits is 42336, while the sum is 40.

The spelling of 11371876321 in words is "eleven billion, three hundred seventy-one million, eight hundred seventy-six thousand, three hundred twenty-one".

Divisors: 1 13 169 631 2197 8203 28561 106639 398161 1386307 5176093 18021991 67289209 874759717 11371876321