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202131020 = 2257131747139
BaseRepresentation
bin11000000110001…
…00011001001100
3112002100022122002
430003010121030
5403221143040
632020211432
75003041160
oct1403043114
9462308562
10202131020
11a4109033
1257839b78
1332b52270
141cbb8ca0
1512b2aa15
hexc0c464c

202131020 has 192 divisors, whose sum is σ = 568995840. Its totient is φ = 58503168.

The previous prime is 202131019. The next prime is 202131049. The reversal of 202131020 is 20131202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202130992 and 202131010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1454111 + ... + 1454249.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2202131020 is an apocalyptic number.

202131020 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 202131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284497920).

202131020 is an abundant number, since it is smaller than the sum of its proper divisors (366864820).

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

202131020 is a wasteful number, since it uses less digits than its factorization.

202131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 202131020 is about 14217.2789239010. The cubic root of 202131020 is about 586.8732607164.

Adding to 202131020 its reverse (20131202), we get a palindrome (222262222).

The spelling of 202131020 in words is "two hundred two million, one hundred thirty-one thousand, twenty".