Search a number
-
+
2142303513 = 37235321579
BaseRepresentation
bin111111110110000…
…1111010100011001
312112022010021221120
41333230033110121
513341412203023
6552324555453
7104042164560
oct17754172431
95468107846
102142303513
119aa302379
124b9552b89
13281ab001c
1416473cbd7
15c81218e3
hex7fb0f519

2142303513 has 48 divisors (see below), whose sum is σ = 3474078720. Its totient is φ = 1148127552.

The previous prime is 2142303503. The next prime is 2142303517. The reversal of 2142303513 is 3153032412.

It is not a de Polignac number, because 2142303513 - 25 = 2142303481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2142303517) 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 47 ways as a sum of consecutive naturals, for example, 1355958 + ... + 1357536.

It is an arithmetic number, because the mean of its divisors is an integer number (72376640).

Almost surely, 22142303513 is an apocalyptic number.

2142303513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2142303513 is a deficient number, since it is larger than the sum of its proper divisors (1331775207).

2142303513 is a wasteful number, since it uses less digits than its factorization.

2142303513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2142303513 is about 46285.0247164242. The cubic root of 2142303513 is about 1289.1209509093.

Adding to 2142303513 its reverse (3153032412), we get a palindrome (5295335925).

The spelling of 2142303513 in words is "two billion, one hundred forty-two million, three hundred three thousand, five hundred thirteen".

Divisors: 1 3 7 21 23 53 69 159 161 371 483 1113 1219 1579 2809 3657 4737 8427 8533 11053 19663 25599 33159 36317 58989 64607 83687 108951 193821 251061 254219 452249 585809 762657 1356747 1757427 1924801 4435411 5774403 13306233 13473607 31047877 40420821 93143631 102014453 306043359 714101171 2142303513