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13220202128 = 2471953251467
BaseRepresentation
bin11000100111111110…
…00100011010010000
31021010100010211222212
430103333010122100
5204033332432003
610023454451252
7645415602230
oct142377043220
937110124885
1013220202128
115674506591
12268b503b28
131328bb0413
148d5ac9cc0
1552594bdd8
hex313fc4690

13220202128 has 160 divisors (see below), whose sum is σ = 31587978240. Its totient is φ = 5234112000.

The previous prime is 13220202103. The next prime is 13220202179. The reversal of 13220202128 is 82120202231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28308551 + ... + 28309017.

It is an arithmetic number, because the mean of its divisors is an integer number (197424864).

Almost surely, 213220202128 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 13220202128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793989120).

13220202128 is an abundant number, since it is smaller than the sum of its proper divisors (18367776112).

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

13220202128 is a wasteful number, since it uses less digits than its factorization.

13220202128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 13220202128 its reverse (82120202231), we get a palindrome (95340404359).

The spelling of 13220202128 in words is "thirteen billion, two hundred twenty million, two hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 53 56 76 106 112 133 152 212 251 266 304 371 424 467 502 532 742 848 934 1004 1007 1064 1484 1757 1868 2008 2014 2128 2968 3269 3514 3736 4016 4028 4769 5936 6538 7028 7049 7472 8056 8873 9538 13076 13303 14056 14098 16112 17746 19076 24751 26152 26606 28112 28196 33383 35492 38152 49502 52304 53212 56392 62111 66766 70984 76304 93121 99004 106424 112784 117217 124222 133532 141968 173257 186242 198008 212848 234434 248444 252757 267064 346514 372484 396016 468868 470269 496888 505514 534128 693028 744968 820519 937736 940538 993776 1011028 1386056 1489936 1641038 1769299 1875472 1881076 2022056 2227123 2772112 3282076 3291883 3538598 3762152 4044112 4454246 6212501 6564152 6583766 7077196 7524304 8908492 12425002 13128304 13167532 14154392 15589861 17816984 24850004 26335064 28308784 31179722 35633968 43487507 49700008 52670128 62359444 86975014 99400016 118037519 124718888 173950028 236075038 249437776 347900056 472150076 695800112 826262633 944300152 1652525266 1888600304 3305050532 6610101064 13220202128