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213511525000 = 23558540461
BaseRepresentation
bin1100011011011001000…
…1110101001010001000
3202102002222121021100021
43012312101311022020
511444232422300000
6242030312550224
721266005006114
oct3066621651210
9672088537307
10213511525000
1182605764994
12354686b2374
131719867c997
14a496762744
15584976911a
hex31b6475288

213511525000 has 48 divisors (see below), whose sum is σ = 500385668580. Its totient is φ = 85404600000.

The previous prime is 213511524997. The next prime is 213511525001. The reversal of 213511525000 is 525115312.

It can be written as a sum of positive squares in 6 ways, for example, as 627101764 + 212884423236 = 25042^2 + 461394^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (213511525001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4245231 + ... + 4295230.

Almost surely, 2213511525000 is an apocalyptic number.

213511525000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213511525000 is an abundant number, since it is smaller than the sum of its proper divisors (286874143580).

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

213511525000 is an frugal number, since it uses more digits than its factorization.

213511525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540492 (or 8540468 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 213511525000 in words is "two hundred thirteen billion, five hundred eleven million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 25000 8540461 17080922 34161844 42702305 68323688 85404610 170809220 213511525 341618440 427023050 854046100 1067557625 1708092200 2135115250 4270230500 5337788125 8540461000 10675576250 21351152500 26688940625 42702305000 53377881250 106755762500 213511525000