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3102135630 = 2351159283563
BaseRepresentation
bin1011100011100110…
…1101010101001110
322000012012211002020
42320321231111032
522323121320010
61231453311010
7136605501126
oct27071552516
98005184066
103102135630
111352090460
12726a95466
133a58c5119
14215dd1c86
1513251b470
hexb8e6d54e

3102135630 has 128 divisors (see below), whose sum is σ = 8303523840. Its totient is φ = 735365760.

The previous prime is 3102135629. The next prime is 3102135637. The reversal of 3102135630 is 365312013.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3102135630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102135637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5509729 + ... + 5510291.

It is an arithmetic number, because the mean of its divisors is an integer number (64871280).

Almost surely, 23102135630 is an apocalyptic number.

3102135630 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 3102135630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151761920).

3102135630 is an abundant number, since it is smaller than the sum of its proper divisors (5201388210).

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

3102135630 is a wasteful number, since it uses less digits than its factorization.

3102135630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 3102135630 is about 55696.8188499128. The cubic root of 3102135630 is about 1458.4344935396.

Adding to 3102135630 its reverse (365312013), we get a palindrome (3467447643).

The spelling of 3102135630 in words is "three billion, one hundred two million, one hundred thirty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 283 295 330 354 563 566 590 649 849 885 1126 1298 1415 1689 1698 1770 1947 2815 2830 3113 3245 3378 3894 4245 5630 6193 6226 6490 8445 8490 9339 9735 12386 15565 16697 16890 18579 18678 19470 30965 31130 33217 33394 37158 46695 50091 61930 66434 83485 92895 93390 99651 100182 159329 166085 166970 183667 185790 199302 250455 318658 332170 365387 367334 477987 498255 500910 551001 730774 796645 918335 955974 996510 1096161 1102002 1593290 1752619 1826935 1836670 2192322 2389935 2755005 3505238 3653870 4779870 5257857 5480805 5510010 8763095 9400411 10515714 10961610 17526190 18800822 26289285 28201233 47002055 52578570 56402466 94004110 103404521 141006165 206809042 282012330 310213563 517022605 620427126 1034045210 1551067815 3102135630