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203205441023640 = 2334511101233324197
BaseRepresentation
bin101110001101000001110100…
…001000001110111010011000
3222122111020202120102122210000
4232031001310020032322120
5203113304220400224030
62000103142455053000
760542052155415366
oct5615016410167230
9878436676378700
10203205441023640
1159824a419a2880
121a95a6ab071160
138950263442863
1438272a54a2636
151875c8e777860
hexb8d07420ee98

203205441023640 has 640 divisors, whose sum is σ = 752817353555520. Its totient is φ = 48751262208000.

The previous prime is 203205441023633. The next prime is 203205441023723. The reversal of 203205441023640 is 46320144502302.

203205441023640 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 0 + 5 + 4 + 4 + 1 + 0 + 2 + 3 + 640 = 666.

It is a super-2 number, since 2×2032054410236402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 203205441023595 and 203205441023604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8397948022 + ... + 8397972218.

Almost surely, 2203205441023640 is an apocalyptic number.

203205441023640 is a gapful number since it is divisible by the number (20) 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 203205441023640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376408676777760).

203205441023640 is an abundant number, since it is smaller than the sum of its proper divisors (549611912531880).

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

203205441023640 is a wasteful number, since it uses less digits than its factorization.

203205441023640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26665 (or 26652 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 203205441023640 its reverse (46320144502302), we get a palindrome (249525585525942).

The spelling of 203205441023640 in words is "two hundred three trillion, two hundred five billion, four hundred forty-one million, twenty-three thousand, six hundred forty".