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13211021120 = 265117152861
BaseRepresentation
bin11000100110111000…
…00010111101000000
31021002200212102000112
430103130002331000
5204024010133440
610022530010452
7645244553363
oct142334027500
937080772015
1013211021120
11566a305780
122688416a28
13132701757b
148d47ba0da
15524c36965
hex313702f40

13211021120 has 112 divisors (see below), whose sum is σ = 34802649216. Its totient is φ = 4736256000.

The previous prime is 13211021099. The next prime is 13211021141. The reversal of 13211021120 is 2112011231.

It is an interprime number because it is at equal distance from previous prime (13211021099) and next prime (13211021141).

It is a junction number, because it is equal to n+sod(n) for n = 13211021095 and 13211021104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223490 + ... + 276350.

Almost surely, 213211021120 is an apocalyptic number.

13211021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17401324608).

13211021120 is an abundant number, since it is smaller than the sum of its proper divisors (21591628096).

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

13211021120 is a wasteful number, since it uses less digits than its factorization.

13211021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52960 (or 52950 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 13211021120 its reverse (2112011231), we get a palindrome (15323032351).

The spelling of 13211021120 in words is "thirteen billion, two hundred eleven million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 71 80 88 110 142 160 176 220 284 320 352 355 440 568 704 710 781 880 1136 1420 1562 1760 2272 2840 3124 3520 3905 4544 5680 6248 7810 11360 12496 15620 22720 24992 31240 49984 52861 62480 105722 124960 211444 249920 264305 422888 528610 581471 845776 1057220 1162942 1691552 2114440 2325884 2907355 3383104 3753131 4228880 4651768 5814710 7506262 8457760 9303536 11629420 15012524 16915520 18607072 18765655 23258840 30025048 37214144 37531310 41284441 46517680 60050096 75062620 82568882 93035360 120100192 150125240 165137764 186070720 206422205 240200384 300250480 330275528 412844410 600500960 660551056 825688820 1201001920 1321102112 1651377640 2642204224 3302755280 6605510560 13211021120