Search a number
-
+
13132011312030 = 23513314129698923
BaseRepresentation
bin1011111100011000100011…
…0111101001001110011110
31201111102000110002000022110
42333012020313221032132
53210123324343441110
643532432425054450
72523520324263252
oct277061067511636
951442013060273
1013132011312030
114203289042376
1215810a4027426
137434604680c0
14335842692262
1517b8d8d94a20
hexbf188de939e

13132011312030 has 256 divisors, whose sum is σ = 35906726338560. Its totient is φ = 3050553139200.

The previous prime is 13132011311983. The next prime is 13132011312083. The reversal of 13132011312030 is 3021311023131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13132011311988 and 13132011312006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1471699149 + ... + 1471708071.

It is an arithmetic number, because the mean of its divisors is an integer number (140260649760).

Almost surely, 213132011312030 is an apocalyptic number.

13132011312030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132011312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17953363169280).

13132011312030 is an abundant number, since it is smaller than the sum of its proper divisors (22774715026530).

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

13132011312030 is a wasteful number, since it uses less digits than its factorization.

13132011312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11987.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13132011312030 its reverse (3021311023131), we get a palindrome (16153322335161).

The spelling of 13132011312030 in words is "thirteen trillion, one hundred thirty-two billion, eleven million, three hundred twelve thousand, thirty".