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212102101020 = 22354775213511
BaseRepresentation
bin1100010110001001000…
…1010011100000011100
3202021110202112010010010
43011202101103200130
511433341114213040
6241234404043220
721216042053235
oct3054221234034
9667422463103
10212102101020
1181a52119887
1235134693510
13170026818b4
14a3a14ba08c
1557b5b61e80
hex316245381c

212102101020 has 48 divisors (see below), whose sum is σ = 606521760768. Its totient is φ = 55357143360.

The previous prime is 212102101019. The next prime is 212102101027. The reversal of 212102101020 is 20101201212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212102100987 and 212102101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102101027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37603936 + ... + 37609575.

It is an arithmetic number, because the mean of its divisors is an integer number (12635870016).

Almost surely, 2212102101020 is an apocalyptic number.

212102101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102101020 is an abundant number, since it is smaller than the sum of its proper divisors (394419659748).

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

212102101020 is a wasteful number, since it uses less digits than its factorization.

212102101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75213570 (or 75213568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212102101020 its reverse (20101201212), we get a palindrome (232203302232).

The spelling of 212102101020 in words is "two hundred twelve billion, one hundred two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 75213511 150427022 225640533 300854044 376067555 451281066 752135110 902562132 1128202665 1504270220 2256405330 3535035017 4512810660 7070070034 10605105051 14140140068 17675175085 21210210102 35350350170 42420420204 53025525255 70700700340 106051050510 212102101020