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331411300220 = 2257111343478191
BaseRepresentation
bin1001101001010011010…
…01110001111101111100
31011200102121211102001202
410310221221301331330
520412212243101340
6412125342155032
732641452400160
oct4645151617574
91150377742052
10331411300220
11118607048050
1254290b82a78
13253376caaa0
141207cba0ca0
15894a160c15
hex4d29a71f7c

331411300220 has 384 divisors, whose sum is σ = 976635297792. Its totient is φ = 91140940800.

The previous prime is 331411300189. The next prime is 331411300223. The reversal of 331411300220 is 22003114133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331411300192 and 331411300201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331411300223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40456325 + ... + 40464515.

It is an arithmetic number, because the mean of its divisors is an integer number (2543321088).

Almost surely, 2331411300220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331411300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488317648896).

331411300220 is an abundant number, since it is smaller than the sum of its proper divisors (645223997572).

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

331411300220 is a wasteful number, since it uses less digits than its factorization.

331411300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8321 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 331411300220 its reverse (22003114133), we get a palindrome (353414414353).

The spelling of 331411300220 in words is "three hundred thirty-one billion, four hundred eleven million, three hundred thousand, two hundred twenty".