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2101540340 = 225176181001
BaseRepresentation
bin111110101000010…
…1111010111110100
312102110102022101102
41331100233113310
513300443242330
6544311145232
7103035540524
oct17520572764
95373368342
102101540340
119892a03a9
124a7975218
13276509cc3
1415d16b684
15c476d945
hex7d42f5f4

2101540340 has 24 divisors (see below), whose sum is σ = 4672837512. Its totient is φ = 791168000.

The previous prime is 2101540327. The next prime is 2101540351. The reversal of 2101540340 is 430451012.

It can be written as a sum of positive squares in 4 ways, for example, as 1147718884 + 953821456 = 33878^2 + 30884^2 .

It is a super-3 number, since 3×21015403403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3090161 + ... + 3090840.

It is an arithmetic number, because the mean of its divisors is an integer number (194701563).

Almost surely, 22101540340 is an apocalyptic number.

2101540340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101540340 is an abundant number, since it is smaller than the sum of its proper divisors (2571297172).

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

2101540340 is a wasteful number, since it uses less digits than its factorization.

2101540340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181027 (or 6181025 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2101540340 is about 45842.5603560709. The cubic root of 2101540340 is about 1280.8921880395.

Adding to 2101540340 its reverse (430451012), we get a palindrome (2531991352).

The spelling of 2101540340 in words is "two billion, one hundred one million, five hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 6181001 12362002 24724004 30905005 61810010 105077017 123620020 210154034 420308068 525385085 1050770170 2101540340