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410430020013 = 32134185559729
BaseRepresentation
bin1011111100011111000…
…10010001100110101101
31110020101120111021200100
411332033202101212231
523211030041120023
6512314323421313
741436560415426
oct5761742214655
91406346437610
10410430020013
11149076056852
1267664224839
132c91b44b210
1415c174a264d
15aa223e9c43
hex5f8f8919ad

410430020013 has 24 divisors (see below), whose sum is σ = 654018576120. Its totient is φ = 246412016640.

The previous prime is 410430020009. The next prime is 410430020059. The reversal of 410430020013 is 310020034014.

410430020013 is a `hidden beast` number, since 410 + 43 + 0 + 0 + 200 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33123272004 + 377306748009 = 181998^2 + 614253^2 .

It is not a de Polignac number, because 410430020013 - 22 = 410430020009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410430020813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42775068 + ... + 42784661.

It is an arithmetic number, because the mean of its divisors is an integer number (27250774005).

Almost surely, 2410430020013 is an apocalyptic number.

It is an amenable number.

410430020013 is a deficient number, since it is larger than the sum of its proper divisors (243588556107).

410430020013 is a wasteful number, since it uses less digits than its factorization.

410430020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85559789 (or 85559786 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 410430020013 its reverse (310020034014), we get a palindrome (720450054027).

The spelling of 410430020013 in words is "four hundred ten billion, four hundred thirty million, twenty thousand, thirteen".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 85559729 256679187 770037561 1112276477 3336829431 3507948889 10010488293 10523846667 31571540001 45603335557 136810006671 410430020013