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2135104420 = 225937113933
BaseRepresentation
bin111111101000011…
…0001101110100100
312111210120112122111
41333100301232210
513333041320140
6551510410404
7103624042141
oct17720615644
95453515574
102135104420
119a6235609
124b7060a04
1328045c2c7
141637c73c8
15c769d7ea
hex7f431ba4

2135104420 has 24 divisors (see below), whose sum is σ = 4488543864. Its totient is φ = 853122816.

The previous prime is 2135104399. The next prime is 2135104427. The reversal of 2135104420 is 244015312.

It can be written as a sum of positive squares in 4 ways, for example, as 43322724 + 2091781696 = 6582^2 + 45736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2135104391 and 2135104400.

It is not an unprimeable number, because it can be changed into a prime (2135104427) 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 7 ways as a sum of consecutive naturals, for example, 38227 + ... + 75706.

It is an arithmetic number, because the mean of its divisors is an integer number (187022661).

Almost surely, 22135104420 is an apocalyptic number.

2135104420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135104420 is an abundant number, since it is smaller than the sum of its proper divisors (2353439444).

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

2135104420 is a wasteful number, since it uses less digits than its factorization.

2135104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114879 (or 114877 counting only the distinct ones).

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

The square root of 2135104420 is about 46207.1901331384. The cubic root of 2135104420 is about 1287.6753237224.

Adding to 2135104420 its reverse (244015312), we get a palindrome (2379119732).

The spelling of 2135104420 in words is "two billion, one hundred thirty-five million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 937 1874 3748 4685 9370 18740 113933 227866 455732 569665 1139330 2278660 106755221 213510442 427020884 533776105 1067552210 2135104420