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300213102030021 = 323731114369201743
BaseRepresentation
bin100010001000010101100111…
…1010011011010110011000101
31110100222002111021000100200200
41010100223033103122303011
5303322142413104430041
62542255554540201113
7120143452351030245
oct10420531723326305
91410862437010620
10300213102030021
1187725730613804
1229807388539199
13cb68c87c9a47b
14541c56aa41b25
1524a937218b1b6
hex1110acf4dacc5

300213102030021 has 48 divisors (see below), whose sum is σ = 446826516963840. Its totient is φ = 194092201589760.

The previous prime is 300213102030019. The next prime is 300213102030113. The reversal of 300213102030021 is 120030201312003.

300213102030021 is a `hidden beast` number, since 30 + 0 + 2 + 1 + 310 + 2 + 0 + 300 + 21 = 666.

It is not a de Polignac number, because 300213102030021 - 21 = 300213102030019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300213102029976 and 300213102030003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300213102030011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1487995876 + ... + 1488197618.

It is an arithmetic number, because the mean of its divisors is an integer number (9308885770080).

Almost surely, 2300213102030021 is an apocalyptic number.

It is an amenable number.

300213102030021 is a deficient number, since it is larger than the sum of its proper divisors (146613414933819).

300213102030021 is a wasteful number, since it uses less digits than its factorization.

300213102030021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216466 (or 216463 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300213102030021 its reverse (120030201312003), we get a palindrome (420243303342024).

The spelling of 300213102030021 in words is "three hundred trillion, two hundred thirteen billion, one hundred two million, thirty thousand, twenty-one".

Divisors: 1 3 9 37 111 311 333 933 2799 11507 14369 34521 43107 103563 129321 201743 531653 605229 1594959 1815687 4468759 4784877 7464491 13406277 22393473 40218831 62742073 67180419 165344083 188226219 496032249 564678657 1488096747 2321456701 2898845167 6964370103 8696535501 20893110309 26089606503 107257271179 321771813537 901540846937 965315440611 2704622540811 8113867622433 33357011336669 100071034010007 300213102030021