Search a number
-
+
13022213113332 = 22321312761283527
BaseRepresentation
bin1011110101111111100001…
…1000110000010111110100
31201002220121102101121021200
42331133320120300113310
53201323443024111312
643410153324412500
72512552403061633
oct275377030602764
951086542347250
1013022213113332
1141707648a55a5
1215639609a7130
13735cb2a06367
143303c81dd51a
15178b0e8600dc
hexbd7f86305f4

13022213113332 has 36 divisors (see below), whose sum is σ = 33168537738336. Its totient is φ = 4307602300560.

The previous prime is 13022213113313. The next prime is 13022213113367. The reversal of 13022213113332 is 23331131222031.

13022213113332 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 213 + 113 + 332 = 666.

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

It is a super-2 number, since 2×130222131133322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13022213113296 and 13022213113305.

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, 1380637048 + ... + 1380646479.

Almost surely, 213022213113332 is an apocalyptic number.

13022213113332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13022213113332 is an abundant number, since it is smaller than the sum of its proper divisors (20146324625004).

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

13022213113332 is a wasteful number, since it uses less digits than its factorization.

13022213113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761283668 (or 2761283663 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13022213113332 its reverse (23331131222031), we get a palindrome (36353344335363).

The spelling of 13022213113332 in words is "thirteen trillion, twenty-two billion, two hundred thirteen million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 2761283527 5522567054 8283850581 11045134108 16567701162 24851551743 33135402324 49703103486 99406206972 361728142037 723456284074 1085184426111 1446912568148 2170368852222 3255553278333 4340737704444 6511106556666 13022213113332