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13211401141044 = 2233797692013593
BaseRepresentation
bin1100000001000000010011…
…0111110011101100110100
31201202222221021001012002000
43000100010313303230310
53212423422143003134
644033122304415300
72532330556554561
oct300200467635464
951688837035060
1013211401141044
114233a18583a07
12159455b617530
1374aaa30529a2
14339614397868
1517d9d39d6e99
hexc0404df3b34

13211401141044 has 96 divisors (see below), whose sum is σ = 34730469312000. Its totient is φ = 4342399746048.

The previous prime is 13211401140941. The next prime is 13211401141069. The reversal of 13211401141044 is 44014110411231.

13211401141044 is a `hidden beast` number, since 1 + 3 + 211 + 401 + 1 + 4 + 1 + 0 + 44 = 666.

It is a super-2 number, since 2×132114011410442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13211401140999 and 13211401141017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5554312 + ... + 7567904.

It is an arithmetic number, because the mean of its divisors is an integer number (361775722000).

Almost surely, 213211401141044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211401141044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365234656000).

13211401141044 is an abundant number, since it is smaller than the sum of its proper divisors (21519068170956).

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

13211401141044 is a wasteful number, since it uses less digits than its factorization.

13211401141044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014454 (or 2014446 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 13211401141044 its reverse (44014110411231), we get a palindrome (57225511552275).

The spelling of 13211401141044 in words is "thirteen trillion, two hundred eleven billion, four hundred one million, one hundred forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 769 948 1422 1538 2133 2307 2844 3076 4266 4614 6921 8532 9228 13842 20763 27684 41526 60751 83052 121502 182253 243004 364506 546759 729012 1093518 1640277 2013593 2187036 3280554 4027186 6040779 6561108 8054372 12081558 18122337 24163116 36244674 54367011 72489348 108734022 159073847 217468044 318147694 477221541 636295388 954443082 1431664623 1548453017 1908886164 2863329246 3096906034 4294993869 4645359051 5726658492 6193812068 8589987738 9290718102 13936077153 17179975476 18581436204 27872154306 41808231459 55744308612 83616462918 122327788343 167232925836 244655576686 366983365029 489311153372 733966730058 1100950095087 1467933460116 2201900190174 3302850285261 4403800380348 6605700570522 13211401141044