Search a number
-
+
13300123222332 = 2232477860592921
BaseRepresentation
bin1100000110001010110100…
…0111101100000100111100
31202002110221110021220021200
43001202231013230010330
53220402123021103312
644141554154455500
72541621311035602
oct301425507540474
952073843256250
1013300123222332
114268606909831
1215a97a0434590
1375627219b83b
1433da2d681872
15180e77a860dc
hexc18ad1ec13c

13300123222332 has 36 divisors (see below), whose sum is σ = 34335069883296. Its totient is φ = 4339047291840.

The previous prime is 13300123222313. The next prime is 13300123222343. The reversal of 13300123222332 is 23322232100331.

13300123222332 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 1 + 2 + 322 + 2 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 13300123222296 and 13300123222305.

It is a congruent number.

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, 3930294769 + ... + 3930298152.

Almost surely, 213300123222332 is an apocalyptic number.

13300123222332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13300123222332 is an abundant number, since it is smaller than the sum of its proper divisors (21034946660964).

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

13300123222332 is a wasteful number, since it uses less digits than its factorization.

13300123222332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860592978 (or 7860592973 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13300123222332 its reverse (23322232100331), we get a palindrome (36622355322663).

The spelling of 13300123222332 in words is "thirteen trillion, three hundred billion, one hundred twenty-three million, two hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 7860592921 15721185842 23581778763 31442371684 47163557526 70745336289 94327115052 141490672578 282981345156 369447867287 738895734574 1108343601861 1477791469148 2216687203722 3325030805583 4433374407444 6650061611166 13300123222332