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202120023000 = 23353761831901
BaseRepresentation
bin1011110000111101001…
…0101100101111011000
3201022201002111000022210
42330033102230233120
511302420211214000
6232504101315120
720413502564040
oct2741722545730
9638632430283
10202120023000
117879a535925
1233209705aa0
13160a15caa5c
149ad58a0720
1553ce644350
hex2f0f4acbd8

202120023000 has 512 divisors, whose sum is σ = 741732526080. Its totient is φ = 44870400000.

The previous prime is 202120022999. The next prime is 202120023037. The reversal of 202120023000 is 320021202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106322050 + ... + 106323950.

It is an arithmetic number, because the mean of its divisors is an integer number (1448696340).

Almost surely, 2202120023000 is an apocalyptic number.

202120023000 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 202120023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370866263040).

202120023000 is an abundant number, since it is smaller than the sum of its proper divisors (539612503080).

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

202120023000 is a wasteful number, since it uses less digits than its factorization.

202120023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 202120023000 its reverse (320021202), we get a palindrome (202440044202).

The spelling of 202120023000 in words is "two hundred two billion, one hundred twenty million, twenty-three thousand".