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2102315280 = 2435136789113
BaseRepresentation
bin111110101001110…
…1100100100010000
312102111212200101220
41331103230210100
513301143042110
6544335525040
7103045246032
oct17523544420
95374780356
102102315280
1198977a64a
124a8089780
1327671b950
1415d2cdc52
15c4873370
hex7d4ec910

2102315280 has 320 divisors, whose sum is σ = 7267034880. Its totient is φ = 499580928.

The previous prime is 2102315233. The next prime is 2102315309. The reversal of 2102315280 is 825132012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2102315280.

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, 18604504 + ... + 18604616.

It is an arithmetic number, because the mean of its divisors is an integer number (22709484).

Almost surely, 22102315280 is an apocalyptic number.

2102315280 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 2102315280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633517440).

2102315280 is an abundant number, since it is smaller than the sum of its proper divisors (5164719600).

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

2102315280 is a wasteful number, since it uses less digits than its factorization.

2102315280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2102315280 is about 45851.0117663722. The cubic root of 2102315280 is about 1281.0496110798.

Adding to 2102315280 its reverse (825132012), we get a palindrome (2927447292).

The spelling of 2102315280 in words is "two billion, one hundred two million, three hundred fifteen thousand, two hundred eighty".