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2302412342130 = 2375641164239
BaseRepresentation
bin100001100000010010011…
…110000100001101110010
322011002221002000120000000
4201200102132010031302
5300210320024422010
64521414051010430
7325225632000015
oct41402236041562
98132832016000
102302412342130
118084a181a46a
12312281299a16
131391690b0554
147d61a14537c
153ed5734e7c0
hex21812784372

2302412342130 has 128 divisors (see below), whose sum is σ = 6225300403200. Its totient is φ = 613015050240.

The previous prime is 2302412342077. The next prime is 2302412342147. The reversal of 2302412342130 is 312432142032.

2302412342130 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 412 + 34 + 213 + 0 = 666.

It is a super-2 number, since 2×23024123421302 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2302412342094 and 2302412342103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13936551 + ... + 14100789.

It is an arithmetic number, because the mean of its divisors is an integer number (48635159400).

Almost surely, 22302412342130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302412342130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112650201600).

2302412342130 is an abundant number, since it is smaller than the sum of its proper divisors (3922888061070).

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

2302412342130 is an equidigital number, since it uses as much as digits as its factorization.

2302412342130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164908 (or 164890 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2302412342130 its reverse (312432142032), we get a palindrome (2614844484162).

The spelling of 2302412342130 in words is "two trillion, three hundred two billion, four hundred twelve million, three hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 641 729 810 1215 1282 1458 1923 2187 2430 3205 3645 3846 4374 5769 6410 7290 9615 10935 11538 17307 19230 21870 28845 34614 51921 57690 86535 103842 155763 164239 173070 259605 311526 328478 467289 492717 519210 778815 821195 934578 985434 1401867 1478151 1557630 1642390 2336445 2463585 2803734 2956302 4434453 4672890 4927170 7009335 7390755 8868906 13303359 14018670 14781510 22172265 26606718 39910077 44344530 66516795 79820154 105277199 119730231 133033590 199550385 210554398 239460462 315831597 359190693 399100770 526385995 598651155 631663194 718381386 947494791 1052771990 1197302310 1579157985 1795953465 1894989582 2842484373 3158315970 3591906930 4737473955 5684968746 8527453119 9474947910 14212421865 17054906238 25582359357 28424843730 42637265595 51164718714 76747078071 85274531190 127911796785 153494156142 230241234213 255823593570 383735390355 460482468426 767470780710 1151206171065 2302412342130