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200312102032020 = 2232511237569436853
BaseRepresentation
bin101101100010111011001011…
…101011111001001010010100
3222021020122112210200000021200
4231202323023223321022110
5202223403141110011040
61550010035335112500
760123033423651306
oct5542731353711224
9867218483600250
10200312102032020
1158909981520400
121a5719b1812730
1387a0472427984
14376722c143976
15182589de25630
hexb62ecbaf9294

200312102032020 has 432 divisors, whose sum is σ = 687130225301520. Its totient is φ = 47164918394880.

The previous prime is 200312102031961. The next prime is 200312102032033. The reversal of 200312102032020 is 20230201213002.

200312102032020 is a `hidden beast` number, since 2 + 0 + 0 + 312 + 10 + 2 + 0 + 320 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9033078338064 + 191279023693956 = 3005508^2 + 13830366^2 .

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 = 200312102031984 and 200312102032002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 458315914 + ... + 458752766.

It is an arithmetic number, because the mean of its divisors is an integer number (1590579225235).

Almost surely, 2200312102032020 is an apocalyptic number.

200312102032020 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 200312102032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343565112650760).

200312102032020 is an abundant number, since it is smaller than the sum of its proper divisors (486818123269500).

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

200312102032020 is a wasteful number, since it uses less digits than its factorization.

200312102032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437496 (or 437480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200312102032020 its reverse (20230201213002), we get a palindrome (220542303245022).

The spelling of 200312102032020 in words is "two hundred trillion, three hundred twelve billion, one hundred two million, thirty-two thousand, twenty".