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215304001020 = 22335709562357
BaseRepresentation
bin1100100010000100011…
…1100101010111111100
3202120201220110111012000
43020201013211113330
512011420311013040
6242524223542300
721361301545533
oct3104107452774
9676656414160
10215304001020
118334554a729
1235888a5a990
13173c2b37194
14a5c683b31a
155901cd8130
hex32211e55fc

215304001020 has 96 divisors (see below), whose sum is σ = 670780622400. Its totient is φ = 57333318912.

The previous prime is 215304000997. The next prime is 215304001037. The reversal of 215304001020 is 20100403512.

215304001020 is a `hidden beast` number, since 215 + 30 + 400 + 1 + 0 + 20 = 666.

215304001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2153040010202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 215304000984 and 215304001002.

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, 101682 + ... + 664038.

It is an arithmetic number, because the mean of its divisors is an integer number (6987298150).

Almost surely, 2215304001020 is an apocalyptic number.

215304001020 is a gapful number since it is divisible by the number (20) 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 215304001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335390311200).

215304001020 is an abundant number, since it is smaller than the sum of its proper divisors (455476621380).

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

215304001020 is a wasteful number, since it uses less digits than its factorization.

215304001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563084 (or 563076 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 215304001020 its reverse (20100403512), we get a palindrome (235404404532).

The spelling of 215304001020 in words is "two hundred fifteen billion, three hundred four million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 709 1418 2127 2836 3545 4254 6381 7090 8508 10635 12762 14180 19143 21270 25524 31905 38286 42540 63810 76572 95715 127620 191430 382860 562357 1124714 1687071 2249428 2811785 3374142 5061213 5623570 6748284 8435355 10122426 11247140 15183639 16870710 20244852 25306065 30367278 33741420 50612130 60734556 75918195 101224260 151836390 303672780 398711113 797422226 1196133339 1594844452 1993555565 2392266678 3588400017 3987111130 4784533356 5980666695 7176800034 7974222260 10765200051 11961333390 14353600068 17942000085 21530400102 23922666780 35884000170 43060800204 53826000255 71768000340 107652000510 215304001020