Search a number
-
+
10321322013 = 3217223374663
BaseRepresentation
bin10011001110011001…
…01110000000011101
3222122022101111001200
421213030232000131
5132114224301023
64424101430113
7513525534552
oct114714560035
928568344050
1010321322013
114417131aa2
12200070b339
13c86442342
146dcac6a29
154061ce743
hex26732e01d

10321322013 has 72 divisors (see below), whose sum is σ = 16975989888. Its totient is φ = 6025840128.

The previous prime is 10321321993. The next prime is 10321322023. The reversal of 10321322013 is 31022312301.

10321322013 is a `hidden beast` number, since 10 + 321 + 322 + 0 + 13 = 666.

It is not a de Polignac number, because 10321322013 - 212 = 10321317917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321322023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2211120 + ... + 2215782.

Almost surely, 210321322013 is an apocalyptic number.

It is an amenable number.

10321322013 is a deficient number, since it is larger than the sum of its proper divisors (6654667875).

10321322013 is a wasteful number, since it uses less digits than its factorization.

10321322013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4743 counting only the distinct ones).

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

Adding to 10321322013 its reverse (31022312301), we get a palindrome (41343634314).

The spelling of 10321322013 in words is "ten billion, three hundred twenty-one million, three hundred twenty-two thousand, thirteen".

Divisors: 1 3 9 17 23 37 51 69 111 153 207 289 333 391 629 851 867 1173 1887 2553 2601 3519 4663 5661 6647 7659 10693 13989 14467 19941 32079 41967 43401 59823 79271 96237 107249 130203 172531 237813 245939 321747 517593 713439 737817 965241 1347607 1552779 1823233 2213451 2933027 3968213 4042821 5469699 8799081 11904639 12128463 16409097 26397243 30994961 35713917 49861459 67459621 92984883 149584377 202378863 278954649 448753131 607136589 1146813557 3440440671 10321322013