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21211001220 = 22352331517239
BaseRepresentation
bin10011110000010001…
…100011000110000100
32000202020020111121210
4103300101203012010
5321420004014340
613424425211420
71350425351463
oct236021430604
960666214553
1021211001220
118aa506a182
12413b630b70
1320005515c6
14105307a9da
1584222b180
hex4f0463184

21211001220 has 48 divisors (see below), whose sum is σ = 59645738880. Its totient is φ = 5631987456.

The previous prime is 21211001219. The next prime is 21211001233. The reversal of 21211001220 is 2210011212.

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 = 21211001196 and 21211001205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744640 + ... + 772599.

It is an arithmetic number, because the mean of its divisors is an integer number (1242619560).

Almost surely, 221211001220 is an apocalyptic number.

21211001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211001220 is an abundant number, since it is smaller than the sum of its proper divisors (38434737660).

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

21211001220 is a wasteful number, since it uses less digits than its factorization.

21211001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517484 (or 1517482 counting only the distinct ones).

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

Adding to 21211001220 its reverse (2210011212), we get a palindrome (23421012432).

The spelling of 21211001220 in words is "twenty-one billion, two hundred eleven million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 233 466 699 932 1165 1398 2330 2796 3495 4660 6990 13980 1517239 3034478 4551717 6068956 7586195 9103434 15172390 18206868 22758585 30344780 45517170 91034340 353516687 707033374 1060550061 1414066748 1767583435 2121100122 3535166870 4242200244 5302750305 7070333740 10605500610 21211001220