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31131130300020 = 22325172950723889
BaseRepresentation
bin1110001010000010001111…
…11101101000011001110100
311002020002212222220121201200
413011001013331220121310
513040023023324100040
6150113235511052500
76362102300324022
oct705010775503164
9132202788817650
1031131130300020
119a12702516223
1235a9508671130
13144a86480b99a
14798a7d047712
1538ebd3722630
hex1c5047f68674

31131130300020 has 36 divisors (see below), whose sum is σ = 94431095243940. Its totient is φ = 8301634746624.

The previous prime is 31131130300003. The next prime is 31131130300031. The reversal of 31131130300020 is 2000303113113.

It is a happy number.

31131130300020 is a `hidden beast` number, since 3 + 1 + 1 + 311 + 30 + 300 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24553967398416 + 6577162901604 = 4955196^2 + 2564598^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31131130299966 and 31131130300002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86475361765 + ... + 86475362124.

Almost surely, 231131130300020 is an apocalyptic number.

31131130300020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31131130300020 is an abundant number, since it is smaller than the sum of its proper divisors (63299964943920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31131130300020 is a wasteful number, since it uses less digits than its factorization.

31131130300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172950723904 (or 172950723899 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31131130300020 its reverse (2000303113113), we get a palindrome (33131433413133).

The spelling of 31131130300020 in words is "thirty-one trillion, one hundred thirty-one billion, one hundred thirty million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 172950723889 345901447778 518852171667 691802895556 864753619445 1037704343334 1556556515001 1729507238890 2075408686668 2594260858335 3113113030002 3459014477780 5188521716670 6226226060004 7782782575005 10377043433340 15565565150010 31131130300020