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13211012120 = 23517431932341
BaseRepresentation
bin11000100110111000…
…00000110000011000
31021002200211221200012
430103130000300120
5204024004341440
610022525501052
7645244515215
oct142334006030
937080757605
1013211012120
11566a2a9a39
122688411788
131327013447
148d47b6b0c
15524c33e65
hex313700c18

13211012120 has 128 divisors (see below), whose sum is σ = 32385925440. Its totient is φ = 4830658560.

The previous prime is 13211012117. The next prime is 13211012131. The reversal of 13211012120 is 2121011231.

It is a junction number, because it is equal to n+sod(n) for n = 13211012095 and 13211012104.

It is a congruent number.

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, 5642150 + ... + 5644490.

Almost surely, 213211012120 is an apocalyptic number.

13211012120 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 13211012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16192962720).

13211012120 is an abundant number, since it is smaller than the sum of its proper divisors (19174913320).

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

13211012120 is a wasteful number, since it uses less digits than its factorization.

13211012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2601 counting only the distinct ones).

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

Adding to 13211012120 its reverse (2121011231), we get a palindrome (15332023351).

The spelling of 13211012120 in words is "thirteen billion, two hundred eleven million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 193 215 340 344 386 430 680 731 772 860 965 1462 1544 1720 1930 2341 2924 3281 3655 3860 4682 5848 6562 7310 7720 8299 9364 11705 13124 14620 16405 16598 18728 23410 26248 29240 32810 33196 39797 41495 46820 65620 66392 79594 82990 93640 100663 131240 141083 159188 165980 198985 201326 282166 318376 331960 397970 402652 451813 503315 564332 705415 795940 805304 903626 1006630 1128664 1410830 1591880 1711271 1807252 2013260 2259065 2821660 3422542 3614504 4026520 4518130 5643320 6845084 7680821 8556355 9036260 13690168 15361642 17112710 18072520 19427959 30723284 34225420 38404105 38855918 61446568 68450840 76808210 77711836 97139795 153616420 155423672 194279590 307232840 330275303 388559180 660550606 777118360 1321101212 1651376515 2642202424 3302753030 6605506060 13211012120