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3135161340630 = 2335115987176317
BaseRepresentation
bin101101100111110110001…
…011011001001011010110
3102002201101210011210101000
4231213312023121023112
5402331302300400010
610400135004044130
7442336135460544
oct55476613311326
912081353153330
103135161340630
11aa9683930480
12427747233646
1319984bb03037
14aba57a60d94
155684577d7c0
hex2d9f62d92d6

3135161340630 has 128 divisors (see below), whose sum is σ = 9122044469760. Its totient is φ = 759907854720.

The previous prime is 3135161340629. The next prime is 3135161340631. The reversal of 3135161340630 is 360431615313.

3135161340630 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 1 + 6 + 13 + 4 + 0 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (3135161340629) and next prime (3135161340631).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135161340631) 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, 17693232 + ... + 17869548.

It is an arithmetic number, because the mean of its divisors is an integer number (71265972420).

Almost surely, 23135161340630 is an apocalyptic number.

3135161340630 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 3135161340630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561022234880).

3135161340630 is an abundant number, since it is smaller than the sum of its proper divisors (5986883129130).

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

3135161340630 is a wasteful number, since it uses less digits than its factorization.

3135161340630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182331 (or 182325 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 3135161340630 its reverse (360431615313), we get a palindrome (3495592955943).

The spelling of 3135161340630 in words is "three trillion, one hundred thirty-five billion, one hundred sixty-one million, three hundred forty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 5987 11974 17961 29935 35922 53883 59870 65857 89805 107766 131714 161649 176317 179610 197571 269415 323298 329285 352634 395142 528951 538830 592713 658570 808245 881585 987855 1057902 1185426 1586853 1616490 1763170 1778139 1939487 1975710 2644755 2963565 3173706 3556278 3878974 4760559 5289510 5818461 5927130 7934265 8890695 9521118 9697435 11636922 15868530 17455383 17781390 19394870 23802795 29092305 34910766 47605590 52366149 58184610 87276915 104732298 174553830 261830745 523661490 1055609879 2111219758 3166829637 5278049395 6333659274 9500488911 10556098790 11611708669 15834148185 19000977822 23223417338 28501466733 31668296370 34835126007 47502444555 57002933466 58058543345 69670252014 95004889110 104505378021 116117086690 142507333665 174175630035 209010756042 285014667330 313516134063 348351260070 522526890105 627032268126 1045053780210 1567580670315 3135161340630