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21212101020 = 22351122921777
BaseRepresentation
bin10011110000010101…
…101111100110011100
32000202022022101021010
4103300111233212130
5321420244213040
613424504535220
71350440612055
oct236025574634
960668271233
1021212101020
118aa5750500
12413ba81510
132000848086
14105328572c
15842396e80
hex4f056f99c

21212101020 has 72 divisors (see below), whose sum is σ = 65284207632. Its totient is φ = 5142325760.

The previous prime is 21212100983. The next prime is 21212101039. The reversal of 21212101020 is 2010121212.

It is a super-3 number, since 3×212121010203 (a number of 32 digits) contains 333 as substring.

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 = 21212100987 and 21212101005.

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 23 ways as a sum of consecutive naturals, for example, 1453629 + ... + 1468148.

It is an arithmetic number, because the mean of its divisors is an integer number (906725106).

Almost surely, 221212101020 is an apocalyptic number.

21212101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212101020 is an abundant number, since it is smaller than the sum of its proper divisors (44072106612).

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

21212101020 is a wasteful number, since it uses less digits than its factorization.

21212101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921811 (or 2921798 counting only the distinct ones).

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

Adding to 21212101020 its reverse (2010121212), we get a palindrome (23222222232).

The spelling of 21212101020 in words is "twenty-one billion, two hundred twelve million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 2921777 5843554 8765331 11687108 14608885 17530662 29217770 32139547 35061324 43826655 58435540 64279094 87653310 96418641 128558188 160697735 175306620 192837282 321395470 353535017 385674564 482093205 642790940 707070034 964186410 1060605051 1414140068 1767675085 1928372820 2121210102 3535350170 4242420204 5303025255 7070700340 10606050510 21212101020