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1302313140 = 22345803897
BaseRepresentation
bin100110110011111…
…1011100010110100
310100202112100210000
41031213323202310
510131343010030
6333121031300
744162323212
oct11547734264
93322470700
101302313140
11609138157
12304185530
13179a67abb
14c4d63cb2
15794ea860
hex4d9fb8b4

1302313140 has 60 divisors (see below), whose sum is σ = 4085409636. Its totient is φ = 347283072.

The previous prime is 1302313139. The next prime is 1302313141. The reversal of 1302313140 is 413132031.

It is an interprime number because it is at equal distance from previous prime (1302313139) and next prime (1302313141).

It can be written as a sum of positive squares in 2 ways, for example, as 188622756 + 1113690384 = 13734^2 + 33372^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302313141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 400329 + ... + 403568.

Almost surely, 21302313140 is an apocalyptic number.

1302313140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302313140 is an abundant number, since it is smaller than the sum of its proper divisors (2783096496).

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

1302313140 is a wasteful number, since it uses less digits than its factorization.

1302313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803918 (or 803907 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1302313140 is about 36087.5759784444. The cubic root of 1302313140 is about 1092.0398186181.

Adding to 1302313140 its reverse (413132031), we get a palindrome (1715445171).

The spelling of 1302313140 in words is "one billion, three hundred two million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 803897 1607794 2411691 3215588 4019485 4823382 7235073 8038970 9646764 12058455 14470146 16077940 21705219 24116910 28940292 36175365 43410438 48233820 65115657 72350730 86820876 108526095 130231314 144701460 217052190 260462628 325578285 434104380 651156570 1302313140