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3116213400 = 2335235314713
BaseRepresentation
bin1011100110111101…
…1010010010011000
322001011201001011010
42321233122102120
522340222312100
61233115133520
7140136243156
oct27157322230
98034631133
103116213400
11135a026283
1272b7442a0
133a87b3a71
14217c183d6
1513389c750
hexb9bda498

3116213400 has 96 divisors (see below), whose sum is σ = 9688286160. Its totient is φ = 828579840.

The previous prime is 3116213383. The next prime is 3116213423. The reversal of 3116213400 is 43126113.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204444 + ... + 219156.

Almost surely, 23116213400 is an apocalyptic number.

3116213400 is a gapful number since it is divisible by the number (30) 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 3116213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844143080).

3116213400 is an abundant number, since it is smaller than the sum of its proper divisors (6572072760).

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

3116213400 is a wasteful number, since it uses less digits than its factorization.

3116213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085 (or 15076 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3116213400 is about 55823.0543772015. The cubic root of 3116213400 is about 1460.6373335540.

Adding to 3116213400 its reverse (43126113), we get a palindrome (3159339513).

The spelling of 3116213400 in words is "three billion, one hundred sixteen million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 353 600 706 1059 1412 1765 2118 2824 3530 4236 5295 7060 8472 8825 10590 14120 14713 17650 21180 26475 29426 35300 42360 44139 52950 58852 70600 73565 88278 105900 117704 147130 176556 211800 220695 294260 353112 367825 441390 588520 735650 882780 1103475 1471300 1765560 2206950 2942600 4413900 5193689 8827800 10387378 15581067 20774756 25968445 31162134 41549512 51936890 62324268 77905335 103873780 124648536 129842225 155810670 207747560 259684450 311621340 389526675 519368900 623242680 779053350 1038737800 1558106700 3116213400