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13210223031030 = 23519181269947441
BaseRepresentation
bin1100000000111011111010…
…1001101011001011110110
31201202212220011012222221210
43000032332221223023312
53212414014043443110
644032405341422250
72532256433026524
oct300167651531366
951685804188853
1013210223031030
114233473569473
121594290b6a986
1374a945c53c7c
14339541b25314
1517d965372520
hexc03bea6b2f6

13210223031030 has 128 divisors (see below), whose sum is σ = 33570718272000. Its totient is φ = 3317581670400.

The previous prime is 13210223031023. The next prime is 13210223031037. The reversal of 13210223031030 is 3013032201231.

It is an interprime number because it is at equal distance from previous prime (13210223031023) and next prime (13210223031037).

It is a junction number, because it is equal to n+sod(n) for n = 13210223030988 and 13210223031006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210223031037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278432110 + ... + 278479550.

It is an arithmetic number, because the mean of its divisors is an integer number (262271236500).

Almost surely, 213210223031030 is an apocalyptic number.

13210223031030 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 13210223031030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16785359136000).

13210223031030 is an abundant number, since it is smaller than the sum of its proper divisors (20360495240970).

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

13210223031030 is a wasteful number, since it uses less digits than its factorization.

13210223031030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50350.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13210223031030 its reverse (3013032201231), we get a palindrome (16223255232261).

The spelling of 13210223031030 in words is "thirteen trillion, two hundred ten billion, two hundred twenty-three million, thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 181 190 285 362 543 570 905 1086 1810 2699 2715 3439 5398 5430 6878 8097 10317 13495 16194 17195 20634 26990 34390 40485 47441 51281 51585 80970 94882 102562 103170 142323 153843 237205 256405 284646 307686 474410 488519 512810 711615 769215 901379 977038 1423230 1465557 1538430 1802758 2442595 2704137 2931114 4506895 4885190 5408274 7327785 8586821 9013790 9281861 13520685 14655570 17173642 18563722 25760463 27041370 27845583 42934105 46409305 51520926 55691166 85868210 92818610 128043259 128802315 139227915 163149599 256086518 257604630 278455830 326299198 384129777 489448797 640216295 768259554 815747995 978897594 1280432590 1631495990 1920648885 2432821921 2447243985 3841297770 4865643842 4894487970 7298465763 12164109605 14596931526 23175829879 24328219210 36492328815 46351659758 69527489637 72984657630 115879149395 139054979274 231758298790 347637448185 440340767701 695274896370 880681535402 1321022303103 2201703838505 2642044606206 4403407677010 6605111515515 13210223031030