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13331210022 = 232131314211033
BaseRepresentation
bin11000110101001101…
…00001111100100110
31021102002000122012100
430122212201330212
5204300242210042
610042502032530
7651234262344
oct143246417446
937362018170
1013331210022
115721136449
122700718746
131345ba9470
14906744994
1553057824c
hex31a9a1f26

13331210022 has 96 divisors (see below), whose sum is σ = 31448473056. Its totient is φ = 4056998400.

The previous prime is 13331210017. The next prime is 13331210033. The reversal of 13331210022 is 22001213331.

13331210022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13331209977 and 13331210004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12904818 + ... + 12905850.

It is an arithmetic number, because the mean of its divisors is an integer number (327588261).

Almost surely, 213331210022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724236528).

13331210022 is an abundant number, since it is smaller than the sum of its proper divisors (18117263034).

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

13331210022 is a wasteful number, since it uses less digits than its factorization.

13331210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13331210022 its reverse (22001213331), we get a palindrome (35332423353).

The spelling of 13331210022 in words is "thirteen billion, three hundred thirty-one million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 234 262 393 421 786 842 1033 1179 1263 1703 2066 2358 2526 3099 3406 3789 5109 5473 6198 7578 9297 10218 10946 13429 15327 16419 18594 26858 30654 32838 40287 49257 55151 80574 98514 110302 120861 135323 165453 241722 270646 330906 405969 434893 496359 716963 811938 869786 992718 1217907 1304679 1433926 1759199 2150889 2435814 2609358 3518398 3914037 4301778 5277597 5653609 6452667 7828074 10555194 11307218 12905334 15832791 16960827 31665582 33921654 50882481 56970983 101764962 113941966 170912949 341825898 512738847 740622779 1025477694 1481245558 2221868337 4443736674 6665605011 13331210022