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1314233130 = 235731120123
BaseRepresentation
bin100111001010101…
…1001101100101010
310101120221221221010
41032111121230222
510142420430010
6334224324350
744365540320
oct11625315452
93346857833
101314233130
11614939891
123081736b6
1317c37c552
14c6787d10
157a5a2620
hex4e559b2a

1314233130 has 64 divisors (see below), whose sum is σ = 3616524288. Its totient is φ = 299415360.

The previous prime is 1314233119. The next prime is 1314233131. The reversal of 1314233130 is 313324131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1314233097 and 1314233106.

It is not an unprimeable number, because it can be changed into a prime (1314233131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55249 + ... + 75371.

It is an arithmetic number, because the mean of its divisors is an integer number (56508192).

Almost surely, 21314233130 is an apocalyptic number.

1314233130 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 1314233130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808262144).

1314233130 is an abundant number, since it is smaller than the sum of its proper divisors (2302291158).

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

1314233130 is a wasteful number, since it uses less digits than its factorization.

1314233130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20451.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1314233130 is about 36252.3534408457. The cubic root of 1314233130 is about 1095.3614952907.

Adding to 1314233130 its reverse (313324131), we get a palindrome (1627557261).

The spelling of 1314233130 in words is "one billion, three hundred fourteen million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 311 622 933 1555 1866 2177 3110 4354 4665 6531 9330 10885 13062 20123 21770 32655 40246 60369 65310 100615 120738 140861 201230 281722 301845 422583 603690 704305 845166 1408610 2112915 4225830 6258253 12516506 18774759 31291265 37549518 43807771 62582530 87615542 93873795 131423313 187747590 219038855 262846626 438077710 657116565 1314233130