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1300031331 = 32934673167
BaseRepresentation
bin100110101111100…
…1110011101100011
310100121020102201120
41031133032131203
510130302000311
6333000103323
744134040544
oct11537163543
93317212646
101300031331
11607919865
12303464b43
13179449311
14c492c4cb
15791e9706
hex4d7ce763

1300031331 has 16 divisors (see below), whose sum is σ = 1743565824. Its totient is φ = 861607904.

The previous prime is 1300031303. The next prime is 1300031363. The reversal of 1300031331 is 1331300031.

It is a cyclic number.

It is not a de Polignac number, because 1300031331 - 29 = 1300030819 is a prime.

It is a super-2 number, since 2×13000313312 = 3380162923163263122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1300031331.

It is not an unprimeable number, because it can be changed into a prime (1300039331) 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, 408910 + ... + 412076.

It is an arithmetic number, because the mean of its divisors is an integer number (108972864).

Almost surely, 21300031331 is an apocalyptic number.

1300031331 is a deficient number, since it is larger than the sum of its proper divisors (443534493).

1300031331 is a wasteful number, since it uses less digits than its factorization.

1300031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1300031331 is about 36055.9472348183. The cubic root of 1300031331 is about 1091.4016507933.

Adding to 1300031331 its reverse (1331300031), we get a palindrome (2631331362).

The spelling of 1300031331 in words is "one billion, three hundred million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 293 467 879 1401 3167 9501 136831 410493 927931 1478989 2783793 4436967 433343777 1300031331