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13021110410424 = 23329109359478099
BaseRepresentation
bin1011110101111011011010…
…1010010001110010111000
31201002210202120110111021020
42331132312222101302320
53201314213231113144
643405452053542440
72512513153210434
oct275366652216270
951083676414236
1013021110410424
114170249404586
1215636b3644a20
13735b6841a32c
143303219999c4
15178a97b43419
hexbd7b6a91cb8

13021110410424 has 128 divisors (see below), whose sum is σ = 34078968000000. Its totient is φ = 4140680560128.

The previous prime is 13021110410423. The next prime is 13021110410449. The reversal of 13021110410424 is 42401401112031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13021110410394 and 13021110410403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021110410423) 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, 26996127 + ... + 27474225.

It is an arithmetic number, because the mean of its divisors is an integer number (266241937500).

Almost surely, 213021110410424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13021110410424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17039484000000).

13021110410424 is an abundant number, since it is smaller than the sum of its proper divisors (21057857589576).

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

13021110410424 is a wasteful number, since it uses less digits than its factorization.

13021110410424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478605 (or 478601 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 13021110410424 its reverse (42401401112031), we get a palindrome (55422511522455).

The spelling of 13021110410424 in words is "thirteen trillion, twenty-one billion, one hundred ten million, four hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 109 116 174 218 232 327 348 359 436 654 696 718 872 1077 1308 1436 2154 2616 2872 3161 4308 6322 8616 9483 10411 12644 18966 20822 25288 31233 37932 39131 41644 62466 75864 78262 83288 117393 124932 156524 234786 249864 313048 469572 478099 939144 956198 1134799 1434297 1912396 2269598 2868594 3404397 3824792 4539196 5737188 6808794 9078392 11474376 13617588 13864871 27235176 27729742 41594613 52112791 55459484 83189226 104225582 110918968 156338373 166378452 171637541 208451164 312676746 332756904 343275082 416902328 514912623 625353492 686550164 1029825246 1250706984 1373100328 1511270939 2059650492 3022541878 4119300984 4533812817 4977488689 6045083756 9067625634 9954977378 12090167512 14932466067 18135251268 18708491969 19909954756 29864932134 36270502536 37416983938 39819909512 56125475907 59729864268 74833967876 112250951814 119459728536 149667935752 224501903628 449003807256 542546267101 1085092534202 1627638801303 2170185068404 3255277602606 4340370136808 6510555205212 13021110410424