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3116214210 = 23547259797
BaseRepresentation
bin1011100110111101…
…1010011111000010
322001011201002021010
42321233122133002
522340222323320
61233115141350
7140136245424
oct27157323702
98034632233
103116214210
11135a02694a
1272b744856
133a87b4245
14217c18814
1513389cae0
hexb9bda7c2

3116214210 has 96 divisors (see below), whose sum is σ = 7780691520. Its totient is φ = 798521728.

The previous prime is 3116214203. The next prime is 3116214217. The reversal of 3116214210 is 124126113.

It is an interprime number because it is at equal distance from previous prime (3116214203) and next prime (3116214217).

It is not an unprimeable number, because it can be changed into a prime (3116214217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3909532 + ... + 3910328.

It is an arithmetic number, because the mean of its divisors is an integer number (81048870).

Almost surely, 23116214210 is an apocalyptic number.

3116214210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116214210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890345760).

3116214210 is an abundant number, since it is smaller than the sum of its proper divisors (4664477310).

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

3116214210 is a wasteful number, since it uses less digits than its factorization.

3116214210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 3116214210 is about 55823.0616322681. The cubic root of 3116214210 is about 1460.6374601089.

The spelling of 3116214210 in words is "three billion, one hundred sixteen million, two hundred fourteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 59 94 118 141 177 235 282 295 354 470 590 705 797 885 1410 1594 1770 2209 2391 2773 3985 4418 4782 5546 6627 7970 8319 11045 11955 13254 13865 16638 22090 23910 27730 33135 37459 41595 47023 66270 74918 83190 94046 112377 130331 141069 187295 224754 235115 260662 282138 374590 390993 470230 561885 651655 705345 781986 1123770 1303310 1410690 1760573 1954965 2210081 3521146 3909930 4420162 5281719 6630243 8802865 10563438 11050405 13260486 17605730 22100810 26408595 33151215 52817190 66302430 103873807 207747614 311621421 519369035 623242842 1038738070 1558107105 3116214210