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1131301002 = 2313197310457
BaseRepresentation
bin100001101101110…
…0100100010001010
32220211202001020010
41003123210202022
54304103113002
6304131412350
740014620436
oct10333444212
92824661203
101131301002
11530654207
12276a540b6
131504bcba0
14aa3699c6
15694ba46c
hex436e488a

1131301002 has 64 divisors (see below), whose sum is σ = 2600277120. Its totient is φ = 325223424.

The previous prime is 1131301001. The next prime is 1131301037. The reversal of 1131301002 is 2001031311.

It is not an unprimeable number, because it can be changed into a prime (1131301001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102958 + ... + 113414.

It is an arithmetic number, because the mean of its divisors is an integer number (40629330).

Almost surely, 21131301002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131301002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300138560).

1131301002 is an abundant number, since it is smaller than the sum of its proper divisors (1468976118).

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

1131301002 is a wasteful number, since it uses less digits than its factorization.

1131301002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10567.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1131301002 is about 33634.8182988997. The cubic root of 1131301002 is about 1041.9800179879.

Adding to 1131301002 its reverse (2001031311), we get a palindrome (3132332313).

The spelling of 1131301002 in words is "one billion, one hundred thirty-one million, three hundred one thousand, two".

Divisors: 1 2 3 6 13 19 26 38 39 57 73 78 114 146 219 247 438 494 741 949 1387 1482 1898 2774 2847 4161 5694 8322 10457 18031 20914 31371 36062 54093 62742 108186 135941 198683 271882 397366 407823 596049 763361 815646 1192098 1526722 2290083 2582879 4580166 5165758 7748637 9923693 14503859 15497274 19847386 29007718 29771079 43511577 59542158 87023154 188550167 377100334 565650501 1131301002