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13322323212132 = 223114492213101573
BaseRepresentation
bin1100000111011101100001…
…0101111011011101100100
31202011121020121111020012010
43001313120111323131210
53221233104220242012
644200105113354220
72543335405610124
oct301673025733544
952147217436163
1013322323212132
114276a69160740
1215b1b57108970
1375839c5a328c
14340b37c00c84
15181826a1ac3c
hexc1dd857b764

13322323212132 has 96 divisors (see below), whose sum is σ = 34002587203200. Its totient is φ = 4026216570880.

The previous prime is 13322323212053. The next prime is 13322323212137. The reversal of 13322323212132 is 23121232322331.

It is a super-2 number, since 2×133223232121322 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13322323212132.

It is not an unprimeable number, because it can be changed into a prime (13322323212137) 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, 131109298 + ... + 131210870.

It is an arithmetic number, because the mean of its divisors is an integer number (354193616700).

Almost surely, 213322323212132 is an apocalyptic number.

13322323212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13322323212132 is an abundant number, since it is smaller than the sum of its proper divisors (20680263991068).

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

13322323212132 is a wasteful number, since it uses less digits than its factorization.

13322323212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104253 (or 104251 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 13322323212132 its reverse (23121232322331), we get a palindrome (36443555534463).

The spelling of 13322323212132 in words is "thirteen trillion, three hundred twenty-two billion, three hundred twenty-three million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 449 898 1347 1796 2213 2694 4426 4939 5388 6639 8852 9878 13278 14817 19756 24343 26556 29634 48686 59268 73029 97372 101573 146058 203146 292116 304719 406292 609438 993637 1117303 1218876 1987274 2234606 2980911 3351909 3974548 4469212 5961822 6703818 10930007 11923644 13407636 21860014 32790021 43720028 45606277 65580042 91212554 131160084 136818831 182425108 224781049 273637662 449562098 501669047 547275324 674343147 899124196 1003338094 1348686294 1505007141 2006676188 2472591539 2697372588 3010014282 4945183078 6020028564 7417774617 9890366156 14835549234 29671098468 100926691001 201853382002 302780073003 403706764004 605560146006 1110193601011 1211120292012 2220387202022 3330580803033 4440774404044 6661161606066 13322323212132