Search a number
-
+
10402212321 = 331953382589
BaseRepresentation
bin10011011000000010…
…10010100111100001
3222211221121010201000
421230001102213201
5132300431243241
64440111302213
7515530226424
oct115401224741
928757533630
1010402212321
114458861096
12202381a969
13c9a124a27
147097419bb
1540d35beb6
hex26c0529e1

10402212321 has 32 divisors (see below), whose sum is σ = 16527888000. Its totient is φ = 6445842624.

The previous prime is 10402212313. The next prime is 10402212329. The reversal of 10402212321 is 12321220401.

It is a happy number.

10402212321 is a `hidden beast` number, since 10 + 402 + 21 + 232 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10402212313) and next prime (10402212329).

It is not a de Polignac number, because 10402212321 - 23 = 10402212313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10402212294 and 10402212303.

It is not an unprimeable number, because it can be changed into a prime (10402212329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164106 + ... + 218483.

It is an arithmetic number, because the mean of its divisors is an integer number (516496500).

Almost surely, 210402212321 is an apocalyptic number.

It is an amenable number.

10402212321 is a deficient number, since it is larger than the sum of its proper divisors (6125675679).

10402212321 is a wasteful number, since it uses less digits than its factorization.

10402212321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382670 (or 382664 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10402212321 its reverse (12321220401), we get a palindrome (22723432722).

The spelling of 10402212321 in words is "ten billion, four hundred two million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 19 27 53 57 159 171 477 513 1007 1431 3021 9063 27189 382589 1147767 3443301 7269191 10329903 20277217 21807573 60831651 65422719 182494953 196268157 385267123 547484859 1155801369 3467404107 10402212321