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202988115000 = 2332541119113191
BaseRepresentation
bin1011110100001100001…
…0001101010000111000
3201101221120221122200100
42331003002031100320
511311204424140000
6233130151435400
720444143336356
oct2750302152070
9641846848610
10202988115000
11790a5554230
1233410385b60
13161ac401b68
149b78cb27d6
15543096ba00
hex2f4308d438

202988115000 has 960 divisors, whose sum is σ = 800023910400. Its totient is φ = 45964800000.

The previous prime is 202988114999. The next prime is 202988115013. The reversal of 202988115000 is 511889202.

It is a super-3 number, since 3×2029881150003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1062764905 + ... + 1062765095.

It is an arithmetic number, because the mean of its divisors is an integer number (833358240).

Almost surely, 2202988115000 is an apocalyptic number.

202988115000 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 202988115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400011955200).

202988115000 is an abundant number, since it is smaller than the sum of its proper divisors (597035795400).

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

202988115000 is a wasteful number, since it uses less digits than its factorization.

202988115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 202988115000 in words is "two hundred two billion, nine hundred eighty-eight million, one hundred fifteen thousand".