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13022122021332 = 22319337467362911
BaseRepresentation
bin1011110101111111001011…
…1101010001000111010100
31201002220101001222122112220
42331133302331101013110
53201323301214140312
643410140312142340
72512550215600404
oct275376275210724
951086331878486
1013022122021332
114170718438856
1215639363979b0
13735c99b91378
143303ba08a804
15178b06869c8c
hexbd7f2f511d4

13022122021332 has 96 divisors (see below), whose sum is σ = 32147848212480. Its totient is φ = 4091255723520.

The previous prime is 13022122021319. The next prime is 13022122021333. The reversal of 13022122021332 is 23312022122031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022122021333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35700957 + ... + 36063867.

It is an arithmetic number, because the mean of its divisors is an integer number (334873418880).

Almost surely, 213022122021332 is an apocalyptic number.

13022122021332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022122021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073924106240).

13022122021332 is an abundant number, since it is smaller than the sum of its proper divisors (19125726191148).

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

13022122021332 is a wasteful number, since it uses less digits than its factorization.

13022122021332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363741 (or 363739 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13022122021332 its reverse (23312022122031), we get a palindrome (36334144143363).

The spelling of 13022122021332 in words is "thirteen trillion, twenty-two billion, one hundred twenty-two million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 337 467 674 934 1011 1348 1401 1868 2022 2802 4044 5604 6403 8873 12806 17746 19209 25612 26619 35492 38418 53238 76836 106476 157379 314758 362911 472137 629516 725822 944274 1088733 1451644 1888548 2177466 2990201 4354932 5980402 6895309 8970603 11960804 13790618 17941206 20685927 27581236 35882412 41371854 82743708 122301007 169479437 244602014 338958874 366903021 489204028 508438311 677917748 733806042 1016876622 1467612084 2033753244 2323719133 3220109303 4647438266 6440218606 6971157399 9294876532 9660327909 12880437212 13942314798 19320655818 27884629596 38641311636 57114570269 114229140538 171343710807 228458281076 342687421614 685374843228 1085176835111 2170353670222 3255530505333 4340707340444 6511061010666 13022122021332