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10021221210 = 235711213231319
BaseRepresentation
bin10010101010100111…
…11011001101011010
3221212101200210011010
421111103323031122
5131010413034320
64334221314350
7503222655240
oct112523731532
927771623133
1010021221210
114282799900
121b381059b6
13c3920a6c0
146b0cc8790
153d9ba0ae0
hex2554fb35a

10021221210 has 384 divisors, whose sum is σ = 33977180160. Its totient is φ = 1837186560.

The previous prime is 10021221191. The next prime is 10021221239. The reversal of 10021221210 is 1212212001.

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 191 ways as a sum of consecutive naturals, for example, 7596931 + ... + 7598249.

It is an arithmetic number, because the mean of its divisors is an integer number (88482240).

Almost surely, 210021221210 is an apocalyptic number.

10021221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988590080).

10021221210 is an abundant number, since it is smaller than the sum of its proper divisors (23955958950).

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

10021221210 is a wasteful number, since it uses less digits than its factorization.

10021221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1383 counting only the distinct ones).

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

Adding to 10021221210 its reverse (1212212001), we get a palindrome (11233433211).

The spelling of 10021221210 in words is "ten billion, twenty-one million, two hundred twenty-one thousand, two hundred ten".