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131303203000200 = 233352711397795427
BaseRepresentation
bin11101110110101101101000…
…110001011100111110001000
3122012220110111222101000021000
4131312231220301130332020
5114202232424432001300
61143131505253015000
736441225526350150
oct3566555061347610
9565813458330230
10131303203000200
1138923415031920
1212887535024460
135835aba12b8ca
14245d174cb3760
15102a76e7b0c00
hex776b68c5cf88

131303203000200 has 768 divisors, whose sum is σ = 565285862246400. Its totient is φ = 27215023334400.

The previous prime is 131303203000159. The next prime is 131303203000241. The reversal of 131303203000200 is 2000302303131.

131303203000200 is a `hidden beast` number, since 1 + 3 + 130 + 32 + 0 + 300 + 0 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (131303203000159) and next prime (131303203000241).

It is a super-2 number, since 2×1313032030002002 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164674887 + ... + 165470313.

It is an arithmetic number, because the mean of its divisors is an integer number (736049299800).

Almost surely, 2131303203000200 is an apocalyptic number.

131303203000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131303203000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282642931123200).

131303203000200 is an abundant number, since it is smaller than the sum of its proper divisors (433982659246200).

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

131303203000200 is a wasteful number, since it uses less digits than its factorization.

131303203000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795867 (or 795852 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131303203000200 its reverse (2000302303131), we get a palindrome (133303505303331).

The spelling of 131303203000200 in words is "one hundred thirty-one trillion, three hundred three billion, two hundred three million, two hundred", and thus it is an aban number.