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202003232100000 = 253554116423027
BaseRepresentation
bin101101111011100010001010…
…111001001000111010100000
3222111020022122120020121012220
4231323202022321020322200
5202434110104404200000
61553343000445351040
760356152255235622
oct5573421271107240
9874208576217186
10202003232100000
11594010a9341761
121a7a56b5868480
138893a91320856
1437c5019856c12
15185487abab1a0
hexb7b88ae48ea0

202003232100000 has 288 divisors, whose sum is σ = 678946108542912. Its totient is φ = 52553683200000.

The previous prime is 202003232099989. The next prime is 202003232100049. The reversal of 202003232100000 is 1232300202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4088487 + ... + 20511513.

It is an arithmetic number, because the mean of its divisors is an integer number (2357451765774).

Almost surely, 2202003232100000 is an apocalyptic number.

202003232100000 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 202003232100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339473054271456).

202003232100000 is an abundant number, since it is smaller than the sum of its proper divisors (476942876442912).

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

202003232100000 is an equidigital number, since it uses as much as digits as its factorization.

202003232100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16423106 (or 16423078 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 202003232100000 its reverse (1232300202), we get a palindrome (202004464400202).

The spelling of 202003232100000 in words is "two hundred two trillion, three billion, two hundred thirty-two million, one hundred thousand".