Search a number
-
+
4323404102130 = 2325349859916007
BaseRepresentation
bin111110111010011110111…
…101110011100111110010
3120022022110110120022011200
4332322132331303213302
51031313312422232010
613110051110152030
7624232661343411
oct76723675634762
916268413508150
104323404102130
1114175aa9a5233
12599aa3352616
13254906632c89
1410d37a8c1478
15776dd19ccc0
hex3ee9ef739f2

4323404102130 has 96 divisors (see below), whose sum is σ = 11275074720000. Its totient is φ = 1149398798976.

The previous prime is 4323404102107. The next prime is 4323404102141. The reversal of 4323404102130 is 312014043234.

4323404102130 is a `hidden beast` number, since 4 + 3 + 2 + 34 + 0 + 410 + 213 + 0 = 666.

It is a super-2 number, since 2×43234041021302 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4323404102094 and 4323404102103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270086587 + ... + 270102593.

It is an arithmetic number, because the mean of its divisors is an integer number (117448695000).

Almost surely, 24323404102130 is an apocalyptic number.

4323404102130 is an abundant number, since it is smaller than the sum of its proper divisors (6951670617870).

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

4323404102130 is a wasteful number, since it uses less digits than its factorization.

4323404102130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24968 (or 24965 counting only the distinct ones).

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

Adding to 4323404102130 its reverse (312014043234), we get a palindrome (4635418145364).

The spelling of 4323404102130 in words is "four trillion, three hundred twenty-three billion, four hundred four million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 349 698 1047 1745 2094 3141 3490 5235 6282 8599 10470 15705 16007 17198 25797 31410 32014 42995 48021 51594 77391 80035 85990 96042 128985 144063 154782 160070 240105 257970 288126 386955 480210 720315 773910 1440630 3001051 5586443 6002102 9003153 11172886 15005255 16759329 18006306 27009459 27932215 30010510 33518658 45015765 50277987 54018918 55864430 83796645 90031530 100555974 135047295 137644193 167593290 251389935 270094590 275288386 412932579 502779870 688220965 825865158 1238797737 1376441930 2064662895 2477595474 4129325790 6193988685 12387977370 48037823357 96075646714 144113470071 240189116785 288226940142 432340410213 480378233570 720567350355 864680820426 1441134700710 2161702051065 4323404102130