Search a number
-
+
13200101131120 = 245165001264139
BaseRepresentation
bin1100000000010110001101…
…0101101100001101110000
31201201220202202002012120221
43000011203111230031300
53212232301342143440
644024013122142424
72531450545221331
oct300054325541560
951656682065527
1013200101131120
11422a149a65232
1215923271b1a14
137499c1c25b97
14338c61710288
1517d571935d4a
hexc016356c370

13200101131120 has 20 divisors (see below), whose sum is σ = 30690235130040. Its totient is φ = 5280040452416.

The previous prime is 13200101131099. The next prime is 13200101131127. The reversal of 13200101131120 is 2113110100231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13200101131094 and 13200101131103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200101131127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82500631990 + ... + 82500632149.

It is an arithmetic number, because the mean of its divisors is an integer number (1534511756502).

Almost surely, 213200101131120 is an apocalyptic number.

13200101131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200101131120 is an abundant number, since it is smaller than the sum of its proper divisors (17490133998920).

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

13200101131120 is a wasteful number, since it uses less digits than its factorization.

13200101131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165001264152 (or 165001264146 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13200101131120 its reverse (2113110100231), we get a palindrome (15313211231351).

The spelling of 13200101131120 in words is "thirteen trillion, two hundred billion, one hundred one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 165001264139 330002528278 660005056556 825006320695 1320010113112 1650012641390 2640020226224 3300025282780 6600050565560 13200101131120