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10220010212022 = 23131571093763549
BaseRepresentation
bin1001010010111000100000…
…0101000000101010110110
31100012000122002021000211120
42110232020011000222312
52314421040103241042
633423001411244410
72103241244320002
oct224561005005266
940160562230746
1010220010212022
113290311369726
1211908588a9706
13591986cb9530
142749189d3702
1512aca4e9ddec
hex94b88140ab6

10220010212022 has 64 divisors (see below), whose sum is σ = 22172832292800. Its totient is φ = 3121726293504.

The previous prime is 10220010211993. The next prime is 10220010212207. The reversal of 10220010212022 is 22021201002201.

It is a junction number, because it is equal to n+sod(n) for n = 10220010211992 and 10220010212010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13003104 + ... + 13766652.

It is an arithmetic number, because the mean of its divisors is an integer number (346450504575).

Almost surely, 210220010212022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220010212022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11086416146400).

10220010212022 is an abundant number, since it is smaller than the sum of its proper divisors (11952822080778).

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

10220010212022 is a wasteful number, since it uses less digits than its factorization.

10220010212022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764817.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10220010212022 its reverse (22021201002201), we get a palindrome (32241211214223).

The spelling of 10220010212022 in words is "ten trillion, two hundred twenty billion, ten million, two hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 942 1093 2041 2186 3279 4082 6123 6558 12246 14209 28418 42627 85254 171601 343202 514803 763549 1029606 1527098 2230813 2290647 4461626 4581294 6692439 9926137 13384878 19852274 29778411 59556822 119877193 239754386 359631579 719263158 834559057 1558403509 1669118114 2503677171 3116807018 4675210527 5007354342 9350421054 10849267741 21698535482 32547803223 65095606446 131025771949 262051543898 393077315847 786154631694 1703335035337 3406670070674 5110005106011 10220010212022