Search a number
-
+
10221021201012 = 22317364971372799
BaseRepresentation
bin1001010010111100010001…
…0101101000001001110100
31100012010020112121121000020
42110233010111220021310
52314430122411413022
633423250004245140
72103305301506526
oct224570425501164
940163215547006
1010221021201012
113290790008716
121190a9b3a07b0
13591ab85a347b
142749b2da1a16
1512ad13b0135c
hex94bc4568274

10221021201012 has 48 divisors (see below), whose sum is σ = 25252645017600. Its totient is φ = 3206504691712.

The previous prime is 10221021201011. The next prime is 10221021201067. The reversal of 10221021201012 is 21010212012201.

It is a junction number, because it is equal to n+sod(n) for n = 10221021200982 and 10221021201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221021201011) 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 15 ways as a sum of consecutive naturals, for example, 6758989 + ... + 8131787.

It is an arithmetic number, because the mean of its divisors is an integer number (526096771200).

Almost surely, 210221021201012 is an apocalyptic number.

10221021201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221021201012 is an abundant number, since it is smaller than the sum of its proper divisors (15031623816588).

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

10221021201012 is a wasteful number, since it uses less digits than its factorization.

10221021201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409320 (or 1409318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221021201012 its reverse (21010212012201), we get a palindrome (31231233213213).

The spelling of 10221021201012 in words is "ten trillion, two hundred twenty-one billion, twenty-one million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 36497 72994 109491 145988 218982 437964 620449 1240898 1372799 1861347 2481796 2745598 3722694 4118397 5491196 7445388 8236794 16473588 23337583 46675166 70012749 93350332 140025498 280050996 50103045103 100206090206 150309135309 200412180412 300618270618 601236541236 851751766751 1703503533502 2555255300253 3407007067004 5110510600506 10221021201012