Search a number
-
+
210131434144 = 257192487427
BaseRepresentation
bin1100001110110011001…
…1110011101010100000
3202002101102100212101001
43003230303303222200
511420322121343034
6240311045521344
721116152501612
oct3035463635240
9662342325331
10210131434144
1181130797675
1234884713254
1316a7a307b18
14a255898db2
1556ecb45a14
hex30eccf3aa0

210131434144 has 24 divisors (see below), whose sum is σ = 419522973408. Its totient is φ = 103585917120.

The previous prime is 210131434127. The next prime is 210131434147. The reversal of 210131434144 is 441434131012.

210131434144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (210131434147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46241442 + ... + 46245985.

It is an arithmetic number, because the mean of its divisors is an integer number (17480123892).

Almost surely, 2210131434144 is an apocalyptic number.

It is an amenable number.

210131434144 is a deficient number, since it is larger than the sum of its proper divisors (209391539264).

210131434144 is an equidigital number, since it uses as much as digits as its factorization.

210131434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92487508 (or 92487500 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 210131434144 its reverse (441434131012), we get a palindrome (651565565156).

The spelling of 210131434144 in words is "two hundred ten billion, one hundred thirty-one million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 71 142 284 568 1136 2272 92487427 184974854 369949708 739899416 1479798832 2959597664 6566607317 13133214634 26266429268 52532858536 105065717072 210131434144