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13240032010020 = 22325671097846767
BaseRepresentation
bin1100000010101010111101…
…1001111001111100100100
31201212201211121002000202200
43000222233121321330210
53213411041143310040
644054215311334500
72534363223126024
oct300525731717444
951781747060680
1013240032010020
11424507a9a25a2
12159a00bb21430
137506b688698a
1433ab6ca47a84
1517e60c317630
hexc0aaf679f24

13240032010020 has 72 divisors (see below), whose sum is σ = 40760854802304. Its totient is φ = 3477978554688.

The previous prime is 13240032010013. The next prime is 13240032010043. The reversal of 13240032010020 is 2001023004231.

13240032010020 is a `hidden beast` number, since 1 + 3 + 240 + 0 + 320 + 100 + 2 + 0 = 666.

It is a super-3 number, since 3×132400320100203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13240032009975 and 13240032010002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548911324 + ... + 548935443.

Almost surely, 213240032010020 is an apocalyptic number.

13240032010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13240032010020 is an abundant number, since it is smaller than the sum of its proper divisors (27520822792284).

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

13240032010020 is a wasteful number, since it uses less digits than its factorization.

13240032010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097846849 (or 1097846844 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13240032010020 its reverse (2001023004231), we get a palindrome (15241055014251).

The spelling of 13240032010020 in words is "thirteen trillion, two hundred forty billion, thirty-two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 1097846767 2195693534 3293540301 4391387068 5489233835 6587080602 9880620903 10978467670 13174161204 16467701505 19761241806 21956935340 32935403010 39522483612 49403104515 65870806020 73555733389 98806209030 147111466778 197612418060 220667200167 294222933556 367778666945 441334400334 662001600501 735557333890 882668800668 1103336000835 1324003201002 1471114667780 2206672001670 2648006402004 3310008002505 4413344003340 6620016005010 13240032010020