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220413124431 = 3315235360111
BaseRepresentation
bin1100110101000110100…
…1010101111101001111
3210001220222011211221000
43031101221111331033
512102401224440211
6245131214111343
721632020434213
oct3152151257517
9701828154830
10220413124431
118552750a775
1236873aab553
1317a28482126
14a94d1c6943
155b005e7656
hex3351a55f4f

220413124431 has 16 divisors (see below), whose sum is σ = 326752427520. Its totient is φ = 146845573560.

The previous prime is 220413124387. The next prime is 220413124469. The reversal of 220413124431 is 134421314022.

220413124431 is a `hidden beast` number, since 2 + 2 + 0 + 413 + 1 + 244 + 3 + 1 = 666.

It is not a de Polignac number, because 220413124431 - 237 = 82974170959 is a prime.

It is a super-2 number, since 2×2204131244312 (a number of 23 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 = 220413124395 and 220413124404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220413124331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2638935 + ... + 2721176.

It is an arithmetic number, because the mean of its divisors is an integer number (20422026720).

Almost surely, 2220413124431 is an apocalyptic number.

220413124431 is a deficient number, since it is larger than the sum of its proper divisors (106339303089).

220413124431 is a wasteful number, since it uses less digits than its factorization.

220413124431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5361643 (or 5361637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 220413124431 its reverse (134421314022), we get a palindrome (354834438453).

The spelling of 220413124431 in words is "two hundred twenty billion, four hundred thirteen million, one hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 1523 4569 13707 41121 5360111 16080333 48240999 144722997 8163449053 24490347159 73471041477 220413124431