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20412134431031 = 723227787709679
BaseRepresentation
bin1001010010000100100100…
…00001011001100100110111
32200021101021202002211201002
410221002102001121210313
510133413022403243111
6111225112145153515
74204504501623560
oct451022201314467
980241252084632
1020412134431031
11655a81281a032
12235801262b89b
13b50b18894185
14507d49c33167
15255e76c0663b
hex129092059937

20412134431031 has 32 divisors (see below), whose sum is σ = 24480757923840. Its totient is φ = 16640495679456.

The previous prime is 20412134431009. The next prime is 20412134431049. The reversal of 20412134431031 is 13013443121402.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20412134431031 is a prime.

It is a super-2 number, since 2×204121344310312 (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 = 20412134430985 and 20412134431003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412134431831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28407650 + ... + 29117328.

It is an arithmetic number, because the mean of its divisors is an integer number (765023685120).

Almost surely, 220412134431031 is an apocalyptic number.

20412134431031 is a deficient number, since it is larger than the sum of its proper divisors (4068623492809).

20412134431031 is a wasteful number, since it uses less digits than its factorization.

20412134431031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710723.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 20412134431031 its reverse (13013443121402), we get a palindrome (33425577552433).

The spelling of 20412134431031 in words is "twenty trillion, four hundred twelve billion, one hundred thirty-four million, four hundred thirty-one thousand, thirty-one".

Divisors: 1 7 23 161 227 787 1589 5221 5509 18101 36547 126707 178649 709679 1250543 4108927 4967753 16322617 28762489 114258319 161097133 558517373 1127679931 3705234059 3909621611 12845899579 25936638413 89921297053 126783443671 887484105697 2916019204433 20412134431031