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13311002330120 = 2351122750207093
BaseRepresentation
bin1100000110110011010110…
…0100001100010000001000
31202010112000122020211120202
43001230311210030100020
53221041413044030440
644150553503511332
72542455021653165
oct301546544142010
952115018224522
1013311002330120
114272189886500
1215ab9178b8548
137572b7049121
1434038248306c
151813b2be5615
hexc1b3590c408

13311002330120 has 48 divisors (see below), whose sum is σ = 32919978915180. Its totient is φ = 4840364481920.

The previous prime is 13311002330117. The next prime is 13311002330137. The reversal of 13311002330120 is 2103320011331.

It can be written as a sum of positive squares in 2 ways, for example, as 12486767130244 + 824235199876 = 3533662^2 + 907874^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13311002330092 and 13311002330101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1375098707 + ... + 1375108386.

Almost surely, 213311002330120 is an apocalyptic number.

13311002330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311002330120 is an abundant number, since it is smaller than the sum of its proper divisors (19608976585060).

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

13311002330120 is a wasteful number, since it uses less digits than its factorization.

13311002330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750207126 (or 2750207111 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13311002330120 its reverse (2103320011331), we get a palindrome (15414322341451).

The spelling of 13311002330120 in words is "thirteen trillion, three hundred eleven billion, two million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 2750207093 5500414186 11000828372 13751035465 22001656744 27502070930 30252278023 55004141860 60504556046 110008283720 121009112092 151261390115 242018224184 302522780230 332775058253 605045560460 665550116506 1210091120920 1331100233012 1663875291265 2662200466024 3327750582530 6655501165060 13311002330120