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241202053120 = 21457260089
BaseRepresentation
bin1110000010100011000…
…0110100000000000000
3212001120210012211212211
43200220300310000000
512422440211144440
6302450125031504
723266132423600
oct3405060640000
9761523184784
10241202053120
11933252a8576
123a8b60b5594
131998c434572
14b962194c00
15641a74eeea
hex3828c34000

241202053120 has 180 divisors, whose sum is σ = 673387408260. Its totient is φ = 82696470528.

The previous prime is 241202053097. The next prime is 241202053171. The reversal of 241202053120 is 21350202142.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 186513424384 + 54688628736 = 431872^2 + 233856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241202053091 and 241202053100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3984036 + ... + 4044124.

It is an arithmetic number, because the mean of its divisors is an integer number (3741041157).

Almost surely, 2241202053120 is an apocalyptic number.

241202053120 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 241202053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336693704130).

241202053120 is an abundant number, since it is smaller than the sum of its proper divisors (432185355140).

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

241202053120 is an frugal number, since it uses more digits than its factorization.

241202053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60136 (or 60103 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 241202053120 its reverse (21350202142), we get a palindrome (262552255262).

The spelling of 241202053120 in words is "two hundred forty-one billion, two hundred two million, fifty-three thousand, one hundred twenty".