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23122111332 = 223171934917093
BaseRepresentation
bin10101100010001011…
…110110101101100100
32012200102022221211210
4111202023312231210
5334323230030312
614342215031420
71445662463205
oct254213665544
965612287753
1023122111332
119895913521
12459366b570
1322464750a8
141194bd75ac
15904dd0e3c
hex5622f6b64

23122111332 has 96 divisors (see below), whose sum is σ = 60307632000. Its totient is φ = 6852114432.

The previous prime is 23122111289. The next prime is 23122111333. The reversal of 23122111332 is 23311122132.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23122111299 and 23122111308.

It is not an unprimeable number, because it can be changed into a prime (23122111333) 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, 1344178 + ... + 1361270.

It is an arithmetic number, because the mean of its divisors is an integer number (628204500).

Almost surely, 223122111332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23122111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30153816000).

23122111332 is an abundant number, since it is smaller than the sum of its proper divisors (37185520668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23122111332 is a wasteful number, since it uses less digits than its factorization.

23122111332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17485 (or 17483 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 23122111332 its reverse (23311122132), we get a palindrome (46433233464).

The spelling of 23122111332 in words is "twenty-three billion, one hundred twenty-two million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 349 646 698 969 1047 1292 1396 1938 2094 3876 4188 5933 6631 11866 13262 17093 17799 19893 23732 26524 34186 35598 39786 51279 68372 71196 79572 102558 112727 205116 225454 290581 324767 338181 450908 581162 649534 676362 871743 974301 1162324 1299068 1352724 1743486 1948602 3486972 3897204 5521039 5965457 11042078 11930914 16563117 17896371 22084156 23861828 33126234 35792742 66252468 71585484 101412769 113343683 202825538 226687366 304238307 340031049 405651076 453374732 608476614 680062098 1216953228 1360124196 1926842611 3853685222 5780527833 7707370444 11561055666 23122111332