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11322320331 = 3717223292797
BaseRepresentation
bin10101000101101110…
…01110010111001011
31002020001221110121110
422202313032113023
5141142003222311
65111300341403
7550402064160
oct124267162713
932201843543
1011322320331
114890177933
12223b9a4863
1310b593ba3a
14795a14067
1546400b8a6
hex2a2dce5cb

11322320331 has 96 divisors (see below), whose sum is σ = 19791037440. Its totient is φ = 5621704704.

The previous prime is 11322320329. The next prime is 11322320341. The reversal of 11322320331 is 13302322311.

It is not a de Polignac number, because 11322320331 - 21 = 11322320329 is a prime.

It is a super-2 number, since 2×113223203312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11322320298 and 11322320307.

It is not an unprimeable number, because it can be changed into a prime (11322320341) 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 95 ways as a sum of consecutive naturals, for example, 4046625 + ... + 4049421.

It is an arithmetic number, because the mean of its divisors is an integer number (206156640).

Almost surely, 211322320331 is an apocalyptic number.

11322320331 is a deficient number, since it is larger than the sum of its proper divisors (8468717109).

11322320331 is a wasteful number, since it uses less digits than its factorization.

11322320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11322320331 its reverse (13302322311), we get a palindrome (24624642642).

The spelling of 11322320331 in words is "eleven billion, three hundred twenty-two million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 7 17 21 23 29 51 69 87 119 161 203 289 357 391 483 493 609 667 867 1173 1479 2001 2023 2737 2797 3451 4669 6069 6647 8211 8381 8391 10353 11339 14007 19579 19941 25143 34017 46529 47549 58667 58737 64331 79373 81113 139587 142647 176001 192763 192993 238119 243339 332843 450317 567791 578289 808333 998529 1093627 1349341 1350951 1378921 1703373 1865599 2424999 3280881 4048023 4136763 5596797 5658331 7655389 9652447 13059193 16974993 18591659 22966167 23441657 28957341 31715183 39177579 55774977 70324971 95145549 130141613 164091599 222006281 390424839 492274797 539158111 666018843 1617474333 3774106777 11322320331