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202101111000 = 233253891911321
BaseRepresentation
bin1011110000111000101…
…0100011100011011000
3201022122202220011221100
42330032022203203120
511302400341023000
6232502144111400
720413153046025
oct2741612434330
9638582804840
10202101111000
117878a898a78
1233203305560
131609a708919
149ad317a54c
1553ccb5aa00
hex2f0e2a38d8

202101111000 has 384 divisors, whose sum is σ = 694919347200. Its totient is φ = 52968960000.

The previous prime is 202101110957. The next prime is 202101111013. The reversal of 202101111000 is 111101202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152990340 + ... + 152991660.

It is an arithmetic number, because the mean of its divisors is an integer number (1809685800).

Almost surely, 2202101111000 is an apocalyptic number.

202101111000 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 202101111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347459673600).

202101111000 is an abundant number, since it is smaller than the sum of its proper divisors (492818236200).

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

202101111000 is a wasteful number, since it uses less digits than its factorization.

202101111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 202101111000 its reverse (111101202), we get a palindrome (202212212202).

The spelling of 202101111000 in words is "two hundred two billion, one hundred one million, one hundred eleven thousand".