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1311234204 = 223753383769
BaseRepresentation
bin100111000100111…
…1101100010011100
310101101022121011210
41032021331202130
510141133443304
6334040144420
744331210150
oct11611754234
93341277153
101311234204
11613180735
12307168110
1317b86c537
14c6207060
157a1adc89
hex4e27d89c

1311234204 has 96 divisors (see below), whose sum is σ = 3576545280. Its totient is φ = 366133248.

The previous prime is 1311234203. The next prime is 1311234269. The reversal of 1311234204 is 4024321131.

1311234204 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311234203) 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, 1704732 + ... + 1705500.

It is an arithmetic number, because the mean of its divisors is an integer number (37255680).

Almost surely, 21311234204 is an apocalyptic number.

1311234204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311234204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788272640).

1311234204 is an abundant number, since it is smaller than the sum of its proper divisors (2265311076).

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

1311234204 is a wasteful number, since it uses less digits than its factorization.

1311234204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1311234204 is about 36210.9680069451. The cubic root of 1311234204 is about 1094.5276985675.

Adding to 1311234204 its reverse (4024321131), we get a palindrome (5335555335).

The spelling of 1311234204 in words is "one billion, three hundred eleven million, two hundred thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 383 636 742 766 769 1113 1149 1484 1532 1538 2226 2298 2307 2681 3076 4452 4596 4614 5362 5383 8043 9228 10724 10766 16086 16149 20299 21532 32172 32298 40598 40757 60897 64596 81196 81514 121794 122271 142093 163028 243588 244542 284186 285299 294527 426279 489084 568372 570598 589054 852558 855897 883581 1141196 1178108 1705116 1711794 1767162 2061689 3423588 3534324 4123378 6185067 8246756 12370134 15609931 24740268 31219862 46829793 62439724 93659586 109269517 187319172 218539034 327808551 437078068 655617102 1311234204