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13211012001320 = 23574310310653011
BaseRepresentation
bin1100000000111110110110…
…1011010110111000101000
31201202221221010210211201122
43000033231223112320220
53212422123033020240
644033015524034412
72532315123124460
oct300175553267050
951687833724648
1013211012001320
114233838956531
121594471232a08
1374aa405446b3
143395b881cba0
1517d9ae76b4b5
hexc03edad6e28

13211012001320 has 128 divisors (see below), whose sum is σ = 35098691696640. Its totient is φ = 4381199504640.

The previous prime is 13211012001307. The next prime is 13211012001359. The reversal of 13211012001320 is 2310021011231.

13211012001320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4086386 + ... + 6566625.

It is an arithmetic number, because the mean of its divisors is an integer number (274208528880).

Almost surely, 213211012001320 is an apocalyptic number.

13211012001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13211012001320 is an abundant number, since it is smaller than the sum of its proper divisors (21887679695320).

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

13211012001320 is a wasteful number, since it uses less digits than its factorization.

13211012001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10653175 (or 10653171 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13211012001320 its reverse (2310021011231), we get a palindrome (15521033012551).

The spelling of 13211012001320 in words is "thirteen trillion, two hundred eleven billion, twelve million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 103 140 172 206 215 280 301 344 412 430 515 602 721 824 860 1030 1204 1442 1505 1720 2060 2408 2884 3010 3605 4120 4429 5768 6020 7210 8858 12040 14420 17716 22145 28840 31003 35432 44290 62006 88580 124012 155015 177160 248024 310030 620060 1240120 10653011 21306022 42612044 53265055 74571077 85224088 106530110 149142154 213060220 298284308 372855385 426120440 458079473 596568616 745710770 916158946 1097260133 1491421540 1832317892 2194520266 2290397365 2982843080 3206556311 3664635784 4389040532 4580794730 5486300665 6413112622 7680820931 8778081064 9161589460 10972601330 12826225244 15361641862 16032781555 18323178920 21945202660 25652450488 30723283724 32065563110 38404104655 43890405320 47182185719 61446567448 64131126220 76808209310 94364371438 128262252440 153616418620 188728742876 235910928595 307232837240 330275300033 377457485752 471821857190 660550600066 943643714380 1321101200132 1651376500165 1887287428760 2642202400264 3302753000330 6605506000660 13211012001320