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1375001331 = 311294013583
BaseRepresentation
bin101000111110100…
…1101101011110011
310112211022022020020
41101331031223303
510304000020311
6344235014523
746034214144
oct12175155363
93484268206
101375001331
11646174940
1232459a443
1318bb38072
14d0885acb
1580aa7c06
hex51f4daf3

1375001331 has 32 divisors (see below), whose sum is σ = 2074705920. Its totient is φ = 802368000.

The previous prime is 1375001321. The next prime is 1375001339. The reversal of 1375001331 is 1331005731.

It is not a de Polignac number, because 1375001331 - 26 = 1375001267 is a prime.

It is a super-2 number, since 2×13750013312 = 3781257320503543122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1375001339) 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 31 ways as a sum of consecutive naturals, for example, 381966 + ... + 385548.

It is an arithmetic number, because the mean of its divisors is an integer number (64834560).

Almost surely, 21375001331 is an apocalyptic number.

1375001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1375001331 is a deficient number, since it is larger than the sum of its proper divisors (699704589).

1375001331 is a wasteful number, since it uses less digits than its factorization.

1375001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 1375001331 is about 37081.0103826743. The cubic root of 1375001331 is about 1111.9904040867.

It can be divided in two parts, 137500 and 1331, that added together give a palindrome (138831).

The spelling of 1375001331 in words is "one billion, three hundred seventy-five million, one thousand, three hundred thirty-one".

Divisors: 1 3 11 29 33 87 319 401 957 1203 3583 4411 10749 11629 13233 34887 39413 103907 118239 127919 311721 383757 1142977 1436783 3428931 4310349 15804613 41666707 47413839 125000121 458333777 1375001331