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30101221003200 = 2635237712387167
BaseRepresentation
bin1101101100000011111001…
…00101011100111111000000
310221120122111211212111020120
412312001330211130333000
512421134300034100300
6144004150544340240
76224512213620624
oct666017445347700
9127518454774216
1030101221003200
119655946578a06
12346199a014680
1313a46c0bb8099
14760c9a647184
153730062ec3a0
hex1b607c95cfc0

30101221003200 has 336 divisors, whose sum is σ = 102854780872704. Its totient is φ = 7700042649600.

The previous prime is 30101221003193. The next prime is 30101221003207. The reversal of 30101221003200 is 230012210103.

It is an interprime number because it is at equal distance from previous prime (30101221003193) and next prime (30101221003207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30101221003200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30101221003207) 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, 11416017 + ... + 13803183.

It is an arithmetic number, because the mean of its divisors is an integer number (306115419264).

Almost surely, 230101221003200 is an apocalyptic number.

30101221003200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30101221003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51427390436352).

30101221003200 is an abundant number, since it is smaller than the sum of its proper divisors (72753559869504).

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

30101221003200 is a wasteful number, since it uses less digits than its factorization.

30101221003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387300 (or 2387285 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30101221003200 its reverse (230012210103), we get a palindrome (30331233213303).

The spelling of 30101221003200 in words is "thirty trillion, one hundred one billion, two hundred twenty-one million, three thousand, two hundred".