Search a number
-
+
10021021010221 = 1321792691231459
BaseRepresentation
bin1001000111010011001101…
…1001011100100100101101
31022111000000011222012210111
42101310303121130210231
52303141022334311341
633151332110140021
72052665146106344
oct221646331344455
938430004865714
1010021021010221
113213989127141
12115a1837b1611
13578c94218500
1426903cc70b5b
15125a0a640681
hex91d3365c92d

10021021010221 has 24 divisors (see below), whose sum is σ = 10952358948000. Its totient is φ = 9164293699392.

The previous prime is 10021021010213. The next prime is 10021021010243. The reversal of 10021021010221 is 12201012012001.

10021021010221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021021010221 - 23 = 10021021010213 is a prime.

It is a super-2 number, since 2×100210210102212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021021010281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7521790 + ... + 8753248.

It is an arithmetic number, because the mean of its divisors is an integer number (456348289500).

Almost surely, 210021021010221 is an apocalyptic number.

It is an amenable number.

10021021010221 is a deficient number, since it is larger than the sum of its proper divisors (931337937779).

10021021010221 is a wasteful number, since it uses less digits than its factorization.

10021021010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231933 (or 1231920 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10021021010221 its reverse (12201012012001), we get a palindrome (22222033022222).

The spelling of 10021021010221 in words is "ten trillion, twenty-one billion, twenty-one million, ten thousand, two hundred twenty-one".

Divisors: 1 13 169 179 269 2327 3497 30251 45461 48151 625963 1231459 8137519 16008967 208116571 220431161 331262471 2865605093 4306412123 37252866209 55983357599 59295982309 770847770017 10021021010221