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13122114411 = 3717418531051
BaseRepresentation
bin11000011100010001…
…11001001101101011
31020212111120110221110
430032020321031223
5203333230130121
610010032241403
7643115063220
oct141610711553
936774513843
1013122114411
11562410085a
1226626a0263
131311789153
148c6a75947
1551c023d76
hex30e23936b

13122114411 has 64 divisors (see below), whose sum is σ = 21734286336. Its totient is φ = 6870528000.

The previous prime is 13122114361. The next prime is 13122114413. The reversal of 13122114411 is 11441122131.

13122114411 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 13122114411 - 222 = 13117920107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13122114413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12484836 + ... + 12485886.

It is an arithmetic number, because the mean of its divisors is an integer number (339598224).

Almost surely, 213122114411 is an apocalyptic number.

13122114411 is a deficient number, since it is larger than the sum of its proper divisors (8612171925).

13122114411 is a wasteful number, since it uses less digits than its factorization.

13122114411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972.

The product of its digits is 192, while the sum is 21.

Adding to 13122114411 its reverse (11441122131), we get a palindrome (24563236542).

The spelling of 13122114411 in words is "thirteen billion, one hundred twenty-two million, one hundred fourteen thousand, four hundred eleven".

Divisors: 1 3 7 17 21 41 51 119 123 287 357 697 853 861 1051 2091 2559 3153 4879 5971 7357 14501 14637 17867 17913 22071 34973 43091 43503 53601 101507 104919 125069 129273 244811 301637 304521 375207 594541 732547 734433 896503 904911 1783623 2197641 2689509 4161787 5127829 6275521 12485361 15240551 15383487 18826563 36756623 45721653 106683857 110269869 257296361 320051571 624862591 771889083 1874587773 4374038137 13122114411