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21130221132 = 22327322935111
BaseRepresentation
bin10011101011011101…
…011001011001001100
32000112121020110011200
4103223131121121030
5321233314034012
613412421545500
71345424626146
oct235335313114
960477213150
1021130221132
118a63505979
124118575290
131cb98aa137
14104644dc96
1583a0c13dc
hex4eb75964c

21130221132 has 72 divisors (see below), whose sum is σ = 54382167840. Its totient is φ = 6916389120.

The previous prime is 21130221121. The next prime is 21130221137. The reversal of 21130221132 is 23112203112.

21130221132 is a `hidden beast` number, since 211 + 302 + 21 + 132 = 666.

It is a super-2 number, since 2×211302211322 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21130221137) by changing a digit.

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, 584257 + ... + 619367.

Almost surely, 221130221132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21130221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27191083920).

21130221132 is an abundant number, since it is smaller than the sum of its proper divisors (33251946708).

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

21130221132 is a wasteful number, since it uses less digits than its factorization.

21130221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35423 (or 35418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21130221132 its reverse (23112203112), we get a palindrome (44242424244).

The spelling of 21130221132 in words is "twenty-one billion, one hundred thirty million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 229 292 438 458 657 687 876 916 1314 1374 2061 2628 2748 4122 8244 16717 33434 35111 50151 66868 70222 100302 105333 140444 150453 200604 210666 300906 315999 421332 601812 631998 1263996 2563103 5126206 7689309 8040419 10252412 15378618 16080838 23067927 24121257 30757236 32161676 46135854 48242514 72363771 92271708 96485028 144727542 289455084 586950587 1173901174 1760851761 2347802348 3521703522 5282555283 7043407044 10565110566 21130221132