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131002000020 = 223254316925323
BaseRepresentation
bin111101000000001010…
…0111110001010010100
3110112010202101010020200
41322000110332022110
54121243003000040
6140103111300500
712315231425133
oct1720024761224
9415122333220
10131002000020
1150615239621
122148037a730
13c479662158
1464aa5b791a
15361acdc630
hex1e8053e294

131002000020 has 72 divisors (see below), whose sum is σ = 406613983776. Its totient is φ = 34121449152.

The previous prime is 131001999991. The next prime is 131002000021. The reversal of 131002000020 is 20000200131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131001999966 and 131002000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002000021) 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, 8454922 + ... + 8470401.

Almost surely, 2131002000020 is an apocalyptic number.

131002000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131002000020 is an abundant number, since it is smaller than the sum of its proper divisors (275611983756).

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

131002000020 is a wasteful number, since it uses less digits than its factorization.

131002000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16925381 (or 16925376 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 131002000020 its reverse (20000200131), we get a palindrome (151002200151).

The spelling of 131002000020 in words is "one hundred thirty-one billion, two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 16925323 33850646 50775969 67701292 84626615 101551938 152327907 169253230 203103876 253879845 304655814 338506460 507759690 609311628 727788889 761639535 1015519380 1455577778 1523279070 2183366667 2911155556 3046558140 3638944445 4366733334 6550100001 7277888890 8733466668 10916833335 13100200002 14555777780 21833666670 26200400004 32750500005 43667333340 65501000010 131002000020