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21212011020 = 22353174315349
BaseRepresentation
bin10011110000010101…
…011001101000001100
32000202022010210210210
4103300111121220030
5321420233323040
613424503002420
71350440055504
oct236025315014
960668123723
1021212011020
118aa5699922
12413ba39410
132000816115
141053260a04
1584237a480
hex4f0559a0c

21212011020 has 96 divisors (see below), whose sum is σ = 61396070400. Its totient is φ = 5466343680.

The previous prime is 21212010997. The next prime is 21212011021. The reversal of 21212011020 is 2011021212.

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 = 21212010987 and 21212011005.

It is not an unprimeable number, because it can be changed into a prime (21212011021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1374306 + ... + 1389654.

It is an arithmetic number, because the mean of its divisors is an integer number (639542400).

Almost surely, 221212011020 is an apocalyptic number.

21212011020 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 21212011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30698035200).

21212011020 is an abundant number, since it is smaller than the sum of its proper divisors (40184059380).

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

21212011020 is a wasteful number, since it uses less digits than its factorization.

21212011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16135 (or 16133 counting only the distinct ones).

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

Adding to 21212011020 its reverse (2011021212), we get a palindrome (23223032232).

The spelling of 21212011020 in words is "twenty-one billion, two hundred twelve million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 743 930 1486 1860 2229 2972 3715 4458 7430 8916 11145 14860 15349 22290 23033 30698 44580 46047 46066 61396 69099 76745 92094 92132 115165 138198 153490 184188 230235 230330 276396 306980 345495 460470 460660 475819 690990 920940 951638 1381980 1427457 1903276 2379095 2854914 4758190 5709828 7137285 9516380 11404307 14274570 22808614 28549140 34212921 45617228 57021535 68425842 114043070 136851684 171064605 228086140 342129210 353533517 684258420 707067034 1060600551 1414134068 1767667585 2121201102 3535335170 4242402204 5303002755 7070670340 10606005510 21212011020