Search a number
-
+
1031213310 = 235371675563
BaseRepresentation
bin111101011101110…
…001000011111110
32122212102001201120
4331131301003332
54102442311220
6250154251410
734361111541
oct7535610376
92585361646
101031213310
1148a102906
12249426b66
131358484ba
149ad54858
15607e9a40
hex3d7710fe

1031213310 has 64 divisors (see below), whose sum is σ = 2557481472. Its totient is φ = 265908096.

The previous prime is 1031213299. The next prime is 1031213311. The reversal of 1031213310 is 133121301.

It is a super-2 number, since 2×10312133102 = 2126801781442312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1031213310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031213311) 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, 182589 + ... + 188151.

It is an arithmetic number, because the mean of its divisors is an integer number (39960648).

Almost surely, 21031213310 is an apocalyptic number.

1031213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278740736).

1031213310 is an abundant number, since it is smaller than the sum of its proper divisors (1526268162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1031213310 is a wasteful number, since it uses less digits than its factorization.

1031213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1031213310 is about 32112.5101790564. The cubic root of 1031213310 is about 1010.2980233491.

Adding to 1031213310 its reverse (133121301), we get a palindrome (1164334611).

The spelling of 1031213310 in words is "one billion, thirty-one million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 167 185 222 334 370 501 555 835 1002 1110 1670 2505 5010 5563 6179 11126 12358 16689 18537 27815 30895 33378 37074 55630 61790 83445 92685 166890 185370 205831 411662 617493 929021 1029155 1234986 1858042 2058310 2787063 3087465 4645105 5574126 6174930 9290210 13935315 27870630 34373777 68747554 103121331 171868885 206242662 343737770 515606655 1031213310