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212021230302 = 232710133614957
BaseRepresentation
bin1100010101110101110…
…0110011101011011110
3202021021010100110100100
43011131130303223132
511433204413332202
6241222354441530
721214040502450
oct3053534635336
9667233313310
10212021230302
1181a10503482
12351115932a6
1316cbb9a80bb
14a3948682d0
1557ad9da41c
hex315d733ade

212021230302 has 96 divisors (see below), whose sum is σ = 530467763904. Its totient is φ = 59947776000.

The previous prime is 212021230297. The next prime is 212021230307. The reversal of 212021230302 is 203032120212.

212021230302 is a `hidden beast` number, since 2 + 120 + 212 + 30 + 302 = 666.

It is an interprime number because it is at equal distance from previous prime (212021230297) and next prime (212021230307).

It is a super-3 number, since 3×2120212303023 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021230307) 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, 42769608 + ... + 42774564.

It is an arithmetic number, because the mean of its divisors is an integer number (5525705874).

Almost surely, 2212021230302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021230302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265233881952).

212021230302 is an abundant number, since it is smaller than the sum of its proper divisors (318446533602).

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

212021230302 is a wasteful number, since it uses less digits than its factorization.

212021230302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212021230302 its reverse (203032120212), we get a palindrome (415053350514).

The spelling of 212021230302 in words is "two hundred twelve billion, twenty-one million, two hundred thirty thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 3361 4242 4957 6363 6722 9914 10083 12726 14871 20166 23527 29742 30249 34699 44613 47054 60498 69398 70581 89226 104097 141162 208194 211743 312291 339461 423486 500657 624582 678922 1001314 1018383 1501971 2036766 2376227 3003942 3055149 3504599 4505913 4752454 6110298 7009198 7128681 9011826 10513797 14257362 16660477 21027594 21386043 31541391 33320954 42772086 49981431 63082782 99962862 116623339 149944293 233246678 299888586 349870017 699740034 1049610051 1682708177 2099220102 3365416354 5048124531 10096249062 11778957239 15144373593 23557914478 30288747186 35336871717 70673743434 106010615151 212021230302