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2130510144 = 26371585201
BaseRepresentation
bin111111011111101…
…0000000101000000
312111110221010111010
41332333100011000
513330402311034
6551224120520
7103540015560
oct17677200500
95443833433
102130510144
119a3687894
124b5606140
1327c5110b9
14162d4cda0
15c70923e9
hex7efd0140

2130510144 has 56 divisors (see below), whose sum is σ = 6442260928. Its totient is φ = 608716800.

The previous prime is 2130510133. The next prime is 2130510169. The reversal of 2130510144 is 4410150312.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2130510144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 791257 + ... + 793944.

Almost surely, 22130510144 is an apocalyptic number.

2130510144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2130510144 is an abundant number, since it is smaller than the sum of its proper divisors (4311750784).

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

2130510144 is a wasteful number, since it uses less digits than its factorization.

2130510144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585223 (or 1585213 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2130510144 is about 46157.4494962622. The cubic root of 2130510144 is about 1286.7510622632.

Adding to 2130510144 its reverse (4410150312), we get a palindrome (6540660456).

The spelling of 2130510144 in words is "two billion, one hundred thirty million, five hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1585201 3170402 4755603 6340804 9511206 11096407 12681608 19022412 22192814 25363216 33289221 38044824 44385628 50726432 66578442 76089648 88771256 101452864 133156884 152179296 177542512 266313768 304358592 355085024 532627536 710170048 1065255072 2130510144