Search a number
-
+
10122303321 = 3313131220141
BaseRepresentation
bin10010110110101011…
…00001011101011001
3222010102220021202000
421123111201131121
5131212302201241
64352232031213
7505561105254
oct113325413531
928112807660
1010122303321
11432485a339
121b65b32509
13c5413c8c0
146c04bc09b
153e39baeb6
hex25b561759

10122303321 has 32 divisors (see below), whose sum is σ = 16272896640. Its totient is φ = 6181531200.

The previous prime is 10122303313. The next prime is 10122303343. The reversal of 10122303321 is 12330322101.

10122303321 is a `hidden beast` number, since 101 + 2 + 230 + 332 + 1 = 666.

It is not a de Polignac number, because 10122303321 - 23 = 10122303313 is a prime.

It is a super-2 number, since 2×101223033212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122303294 and 10122303303.

It is not an unprimeable number, because it can be changed into a prime (10122303361) 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, 64090 + ... + 156051.

It is an arithmetic number, because the mean of its divisors is an integer number (508528020).

Almost surely, 210122303321 is an apocalyptic number.

It is an amenable number.

10122303321 is a deficient number, since it is larger than the sum of its proper divisors (6150593319).

10122303321 is a wasteful number, since it uses less digits than its factorization.

10122303321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220294 (or 220288 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10122303321 its reverse (12330322101), we get a palindrome (22452625422).

The spelling of 10122303321 in words is "ten billion, one hundred twenty-two million, three hundred three thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 131 351 393 1179 1703 3537 5109 15327 45981 220141 660423 1981269 2861833 5943807 8585499 25756497 28838471 77269491 86515413 259546239 374900123 778638717 1124700369 3374101107 10122303321