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30001125660 = 223511280316217
BaseRepresentation
bin11011111100001101…
…001101100100011100
32212102211102002111020
4123330031031210130
5442420242010120
621440552124140
72111312234442
oct337415154434
985384362436
1030001125660
11117a5942830
125993396650
132aa169a57c
14164865cb92
15ba8c9c640
hex6fc34d91c

30001125660 has 96 divisors (see below), whose sum is σ = 91678148352. Its totient is φ = 7269957120.

The previous prime is 30001125643. The next prime is 30001125677. The reversal of 30001125660 is 6652110003.

It is an interprime number because it is at equal distance from previous prime (30001125643) and next prime (30001125677).

It is a super-2 number, since 2×300011256602 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30001125660.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1841872 + ... + 1858088.

It is an arithmetic number, because the mean of its divisors is an integer number (954980712).

Almost surely, 230001125660 is an apocalyptic number.

30001125660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30001125660 is an abundant number, since it is smaller than the sum of its proper divisors (61677022692).

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

30001125660 is a wasteful number, since it uses less digits than its factorization.

30001125660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19043 (or 19041 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 30001125660 its reverse (6652110003), we get a palindrome (36653235663).

The spelling of 30001125660 in words is "thirty billion, one million, one hundred twenty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2803 5606 8409 11212 14015 16217 16818 28030 30833 32434 33636 42045 48651 56060 61666 64868 81085 84090 92499 97302 123332 154165 162170 168180 178387 184998 194604 243255 308330 324340 356774 369996 462495 486510 535161 616660 713548 891935 924990 973020 1070322 1783870 1849980 2140644 2675805 3567740 5351610 10703220 45456251 90912502 136368753 181825004 227281255 272737506 454562510 500018761 545475012 681843765 909125020 1000037522 1363687530 1500056283 2000075044 2500093805 2727375060 3000112566 5000187610 6000225132 7500281415 10000375220 15000562830 30001125660