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2130134424 = 2331112763533
BaseRepresentation
bin111111011110111…
…0100010110011000
312111110020001002120
41332331310112120
513330303300144
6551212101240
7103533562305
oct17675642630
95443201076
102130134424
119a3450580
124b5464820
1327c40c092
14162c920ac
15c701ae19
hex7ef74598

2130134424 has 64 divisors (see below), whose sum is σ = 5855293440. Its totient is φ = 640402560.

The previous prime is 2130134389. The next prime is 2130134429. The reversal of 2130134424 is 4244310312.

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

It is a junction number, because it is equal to n+sod(n) for n = 2130134394 and 2130134403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130134429) 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 15 ways as a sum of consecutive naturals, for example, 1762 + ... + 65294.

It is an arithmetic number, because the mean of its divisors is an integer number (91488960).

Almost surely, 22130134424 is an apocalyptic number.

2130134424 is a gapful number since it is divisible by the number (24) 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 2130134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927646720).

2130134424 is an abundant number, since it is smaller than the sum of its proper divisors (3725159016).

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

2130134424 is a wasteful number, since it uses less digits than its factorization.

2130134424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63680 (or 63676 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2130134424 is about 46153.3793345623. The cubic root of 2130134424 is about 1286.6754173864.

Adding to 2130134424 its reverse (4244310312), we get a palindrome (6374444736).

The spelling of 2130134424 in words is "two billion, one hundred thirty million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 2794 3048 4191 5588 8382 11176 16764 33528 63533 127066 190599 254132 381198 508264 698863 762396 1397726 1524792 2096589 2795452 4193178 5590904 8068691 8386356 16137382 16772712 24206073 32274764 48412146 64549528 88755601 96824292 177511202 193648584 266266803 355022404 532533606 710044808 1065067212 2130134424