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243120211020 = 2233519158314969
BaseRepresentation
bin1110001001101100011…
…0000000010001001100
3212020112110120100212000
43202123012000101030
512440402233223040
6303404325512300
723364513460641
oct3423306002114
9766473510760
10243120211020
119411a025a35
123b150572690
1319c06954c3b
14baa4c27dc8
1564cdd48130
hex389b18044c

243120211020 has 192 divisors, whose sum is σ = 796739328000. Its totient is φ = 61376942592.

The previous prime is 243120211007. The next prime is 243120211067. The reversal of 243120211020 is 20112021342.

It is a happy number.

243120211020 is a `hidden beast` number, since 2 + 431 + 2 + 0 + 211 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 243120210984 and 243120211002.

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, 16234096 + ... + 16249064.

It is an arithmetic number, because the mean of its divisors is an integer number (4149684000).

Almost surely, 2243120211020 is an apocalyptic number.

243120211020 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 243120211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398369664000).

243120211020 is an abundant number, since it is smaller than the sum of its proper divisors (553619116980).

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

243120211020 is a wasteful number, since it uses less digits than its factorization.

243120211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16589 (or 16581 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 243120211020 its reverse (20112021342), we get a palindrome (263232232362).

The spelling of 243120211020 in words is "two hundred forty-three billion, one hundred twenty million, two hundred eleven thousand, twenty".