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202103132000 = 25537111315009
BaseRepresentation
bin1011110000111001001…
…0010000111101100000
3201022122220200212020012
42330032102100331200
511302401400211000
6232502255304052
720413206164120
oct2741622207540
9638586625205
10202103132000
1178790a49420
1233203b1b028
131609ac65793
149ad3544c80
1553cce09735
hex2f0e490f60

202103132000 has 384 divisors, whose sum is σ = 623947484160. Its totient is φ = 62499840000.

The previous prime is 202103131927. The next prime is 202103132029. The reversal of 202103132000 is 231301202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40345496 + ... + 40350504.

It is an arithmetic number, because the mean of its divisors is an integer number (1624863240).

Almost surely, 2202103132000 is an apocalyptic number.

202103132000 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 202103132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311973742080).

202103132000 is an abundant number, since it is smaller than the sum of its proper divisors (421844352160).

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

202103132000 is a wasteful number, since it uses less digits than its factorization.

202103132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 202103132000 its reverse (231301202), we get a palindrome (202334433202).

The spelling of 202103132000 in words is "two hundred two billion, one hundred three million, one hundred thirty-two thousand".