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1223141413113 = 34174121665009
BaseRepresentation
bin10001110011001000111…
…010001101000011111001
311022221010211100200220000
4101303020322031003321
5130014443200204423
62333523045223213
7154240404316524
oct21631072150371
94287124320800
101223141413113
114318054932a4
12179077701b09
138b459a5a469
14432b3b07bbb
1521c3b630843
hex11cc8e8d0f9

1223141413113 has 40 divisors (see below), whose sum is σ = 1981828454760. Its totient is φ = 748742676480.

The previous prime is 1223141413111. The next prime is 1223141413139. The reversal of 1223141413113 is 3113141413221.

1223141413113 is a `hidden beast` number, since 1 + 2 + 231 + 4 + 1 + 413 + 1 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4000815504 + 1219140597609 = 63252^2 + 1104147^2 .

It is not a de Polignac number, because 1223141413113 - 21 = 1223141413111 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1223141413111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10776048 + ... + 10888961.

It is an arithmetic number, because the mean of its divisors is an integer number (49545711369).

Almost surely, 21223141413113 is an apocalyptic number.

It is an amenable number.

1223141413113 is a deficient number, since it is larger than the sum of its proper divisors (758687041647).

1223141413113 is a wasteful number, since it uses less digits than its factorization.

1223141413113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21665079 (or 21665070 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1223141413113 its reverse (3113141413221), we get a palindrome (4336282826334).

The spelling of 1223141413113 in words is "one trillion, two hundred twenty-three billion, one hundred forty-one million, four hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 9 17 27 41 51 81 123 153 369 459 697 1107 1377 2091 3321 6273 18819 56457 21665009 64995027 194985081 368305153 584955243 888265369 1104915459 1754865729 2664796107 3314746377 7994388321 9944239131 15100511273 23983164963 29832717393 45301533819 71949494889 135904601457 407713804371 1223141413113