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13201344102210 = 23511599160941507
BaseRepresentation
bin1100000000011010110101…
…1011001111111101000010
31201202000222100221200101020
43000012231123033331002
53212242323042232320
644024340323250310
72531523420260625
oct300065533177502
951660870850336
1013201344102210
11422a727650870
121592613519996
13749b5c5b4334
14338d3c827dbc
1517d5e5b0d940
hexc01ad6cff42

13201344102210 has 128 divisors (see below), whose sum is σ = 34643572992000. Its totient is φ = 3192920440320.

The previous prime is 13201344102179. The next prime is 13201344102217. The reversal of 13201344102210 is 1220144310231.

13201344102210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132013441022102 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13201344102217) 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, 318030277 + ... + 318071783.

It is an arithmetic number, because the mean of its divisors is an integer number (270652914000).

Almost surely, 213201344102210 is an apocalyptic number.

13201344102210 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 13201344102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17321786496000).

13201344102210 is an abundant number, since it is smaller than the sum of its proper divisors (21442228889790).

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

13201344102210 is a wasteful number, since it uses less digits than its factorization.

13201344102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43736.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13201344102210 its reverse (1220144310231), we get a palindrome (14421488412441).

The spelling of 13201344102210 in words is "thirteen trillion, two hundred one billion, three hundred forty-four million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 599 1198 1609 1797 2995 3218 3594 4827 5990 6589 8045 8985 9654 13178 16090 17699 17970 19767 24135 32945 35398 39534 41507 48270 53097 65890 83014 88495 98835 106194 124521 176990 197670 207535 249042 265485 415070 456577 530970 622605 913154 963791 1245210 1369731 1927582 2282885 2739462 2891373 4565770 4818955 5782746 6848655 9637910 10601701 13697310 14456865 21203402 24862693 28913730 31805103 49725386 53008505 63610206 66784763 74588079 106017010 124313465 133569526 149176158 159025515 200354289 248626930 273489623 318051030 333923815 372940395 400708578 546979246 667847630 734632393 745880790 820468869 1001771445 1367448115 1469264786 1640937738 2003542890 2203897179 2734896230 3673161965 4102344345 4407794358 7346323930 8204688690 11019485895 22038971790 40004073037 80008146074 120012219111 200020365185 240024438222 400040730370 440044803407 600061095555 880089606814 1200122191110 1320134410221 2200224017035 2640268820442 4400448034070 6600672051105 13201344102210