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13301311232022 = 231113134712173643
BaseRepresentation
bin1100000110001111001111…
…1011100101100000010110
31202002121000020202001012120
43001203303323211200112
53220412041133411042
644142312114000410
72541662614664652
oct301436373454026
952077006661176
1013301311232022
114269066476020
1215a9a72276106
13756401355558
1433db0336da62
15180ee7003dec
hexc18f3ee5816

13301311232022 has 128 divisors (see below), whose sum is σ = 29359004387328. Its totient is φ = 3984033331200.

The previous prime is 13301311232003. The next prime is 13301311232039. The reversal of 13301311232022 is 22023211310331.

13301311232022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133013112320222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13301311231983 and 13301311232001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3651195333 + ... + 3651198975.

It is an arithmetic number, because the mean of its divisors is an integer number (229367221776).

Almost surely, 213301311232022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13301311232022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14679502193664).

13301311232022 is an abundant number, since it is smaller than the sum of its proper divisors (16057693155306).

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

13301311232022 is a wasteful number, since it uses less digits than its factorization.

13301311232022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13301311232022 its reverse (22023211310331), we get a palindrome (35324522542353).

The spelling of 13301311232022 in words is "thirteen trillion, three hundred one billion, three hundred eleven million, two hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 131 262 347 393 694 786 1041 1217 1441 2082 2434 2882 3643 3651 3817 4323 7286 7302 7634 8646 10929 11451 13387 21858 22902 26774 40073 40161 45457 80146 80322 90914 120219 136371 159427 240438 272742 318854 422299 477233 478281 500027 844598 954466 956562 1000054 1264121 1266897 1431699 1500081 1753697 2528242 2533794 2863398 3000162 3507394 3792363 4433531 4645289 5249563 5261091 7584726 8867062 9290578 10499126 10522182 13300593 13905331 13935867 15748689 26601186 27810662 27871734 31497378 41715993 48768841 55321169 83431986 97537682 110642338 146306523 165599851 165963507 292613046 331199702 331927014 496799553 580792561 608532859 993599106 1161585122 1217065718 1538435257 1742377683 1821598361 1825598577 3076870514 3484755366 3643196722 3651197154 4615305771 5464795083 6388718171 9230611542 10929590166 12777436342 16922787827 19166154513 33845575654 38332309026 50768363481 101536726962 201535018667 403070037334 604605056001 1209210112002 2216885205337 4433770410674 6650655616011 13301311232022