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331203112020 = 2232511378354469
BaseRepresentation
bin1001101000111010011…
…11100110110001010100
31011122220010002100112200
410310131033212301110
520411300444041040
6412052544044500
732633344000404
oct4643517466124
91148803070480
10331203112020
1111850a582190
1254233303730
13253035377c1
141205d28a804
158936c3a630
hex4d1d3e6c54

331203112020 has 288 divisors, whose sum is σ = 1139184708480. Its totient is φ = 77178977280.

The previous prime is 331203112001. The next prime is 331203112021. The reversal of 331203112020 is 20211302133.

331203112020 is a `hidden beast` number, since 3 + 312 + 0 + 311 + 20 + 20 = 666.

It is a super-3 number, since 3×3312031120203 (a number of 36 digits) contains 333 as substring.

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 = 331203111984 and 331203112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331203112021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6053346 + ... + 6107814.

It is an arithmetic number, because the mean of its divisors is an integer number (3955502460).

Almost surely, 2331203112020 is an apocalyptic number.

331203112020 is a gapful number since it is divisible by the number (30) 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 331203112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569592354240).

331203112020 is an abundant number, since it is smaller than the sum of its proper divisors (807981596460).

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

331203112020 is a wasteful number, since it uses less digits than its factorization.

331203112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54615 (or 54610 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331203112020 its reverse (20211302133), we get a palindrome (351414414153).

The spelling of 331203112020 in words is "three hundred thirty-one billion, two hundred three million, one hundred twelve thousand, twenty".