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20413221235631 = 7172931547348833
BaseRepresentation
bin1001010010000110100101…
…10011001110101110101111
32200021111002111010020100022
410221003102303032232233
510133422234114020011
6111225412051152355
74204543436411240
oct451032263165657
980244074106308
1020413221235631
116560220241454
1223582765a56bb
13b50c5caa4a13
145080102d8cc7
15255edc3328db
hex1290d2ccebaf

20413221235631 has 64 divisors (see below), whose sum is σ = 26426101063680. Its totient is φ = 15358877614080.

The previous prime is 20413221235559. The next prime is 20413221235639. The reversal of 20413221235631 is 13653212231402.

It is a de Polignac number, because none of the positive numbers 2k-20413221235631 is a prime.

It is a super-2 number, since 2×204132212356312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20413221235591 and 20413221235600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413221235639) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58344191 + ... + 58693023.

It is an arithmetic number, because the mean of its divisors is an integer number (412907829120).

Almost surely, 220413221235631 is an apocalyptic number.

20413221235631 is a deficient number, since it is larger than the sum of its proper divisors (6012879828049).

20413221235631 is a wasteful number, since it uses less digits than its factorization.

20413221235631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349464.

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 20413221235631 in words is "twenty trillion, four hundred thirteen billion, two hundred twenty-one million, two hundred thirty-five thousand, six hundred thirty-one".

Divisors: 1 7 17 29 31 119 203 217 493 527 547 899 3451 3689 3829 6293 9299 15283 15863 16957 65093 106981 111041 118699 269671 288269 348833 491753 1887697 2017883 2441831 3442271 5930161 8359801 10116157 10813823 41511127 58518607 70813099 75696761 171974669 183834991 190811651 313600867 1203822683 1286844937 1335681557 2195206069 3243798067 5331214739 5533537879 5915161181 22706586469 37318503173 38734765153 41406128267 94070143943 100557740077 171539674249 658491007601 703904180539 1200777719743 2916174462233 20413221235631