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13221332201355 = 35191131572614883
BaseRepresentation
bin1100000001100101010011…
…0011110010111110001011
31201210221120101002022201120
43000121110303302332023
53213104242020420410
644041443545450323
72533131636310305
oct300312463627613
951727511068646
1013221332201355
114238154391573
1215964714a09a3
1374b9c6683135
14339cb72d2975
1517ddb57c8570
hexc0654cf2f8b

13221332201355 has 64 divisors (see below), whose sum is σ = 22607659491840. Its totient is φ = 6578959435776.

The previous prime is 13221332201323. The next prime is 13221332201369. The reversal of 13221332201355 is 55310223312231.

13221332201355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13221332201355 - 25 = 13221332201323 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3748744 + ... + 6363626.

It is an arithmetic number, because the mean of its divisors is an integer number (353244679560).

Almost surely, 213221332201355 is an apocalyptic number.

13221332201355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13221332201355 is a deficient number, since it is larger than the sum of its proper divisors (9386327290485).

13221332201355 is a wasteful number, since it uses less digits than its factorization.

13221332201355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615180.

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 13221332201355 its reverse (55310223312231), we get a palindrome (68531555513586).

The spelling of 13221332201355 in words is "thirteen trillion, two hundred twenty-one billion, three hundred thirty-two million, two hundred one thousand, three hundred fifty-five".

Divisors: 1 3 5 15 19 57 95 113 157 285 339 471 565 785 1695 2147 2355 2983 6441 8949 10735 14915 17741 32205 44745 53223 88705 266115 337079 1011237 1685395 2614883 5056185 7844649 13074415 39223245 49682777 149048331 248413885 295481779 410536631 745241655 886445337 1231609893 1477408895 2052683155 4432226685 5614153801 6158049465 7800195989 16842461403 23400587967 28070769005 39000979945 46390639303 84212307015 117002939835 139171917909 231953196515 695859589545 881422146757 2644266440271 4407110733785 13221332201355