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2140431130 = 2519293710499
BaseRepresentation
bin111111110010100…
…0110001100011010
312112011121011112001
41333211012030122
513340422244010
6552220511214
7104020235665
oct17745061432
95464534461
102140431130
119a9243652
124b89ab50a
132815a59c6
141643b26dc
15c7da1c3a
hex7f94631a

2140431130 has 64 divisors (see below), whose sum is σ = 4309200000. Its totient is φ = 761902848.

The previous prime is 2140431127. The next prime is 2140431133. The reversal of 2140431130 is 311340412.

It is an interprime number because it is at equal distance from previous prime (2140431127) and next prime (2140431133).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 2140431098 and 2140431107.

It is not an unprimeable number, because it can be changed into a prime (2140431133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198621 + ... + 209119.

It is an arithmetic number, because the mean of its divisors is an integer number (67331250).

Almost surely, 22140431130 is an apocalyptic number.

2140431130 is an abundant number, since it is smaller than the sum of its proper divisors (2168768870).

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

2140431130 is a wasteful number, since it uses less digits than its factorization.

2140431130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2140431130 is about 46264.7936340367. The cubic root of 2140431130 is about 1288.7452755855.

Adding to 2140431130 its reverse (311340412), we get a palindrome (2451771542).

The spelling of 2140431130 in words is "two billion, one hundred forty million, four hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 19 29 37 38 58 74 95 145 185 190 290 370 551 703 1073 1102 1406 2146 2755 3515 5365 5510 7030 10499 10730 20387 20998 40774 52495 101935 104990 199481 203870 304471 388463 398962 608942 776926 997405 1522355 1942315 1994810 3044710 3884630 5784949 7380797 11265427 11569898 14761594 22530854 28924745 36903985 56327135 57849490 73807970 112654270 214043113 428086226 1070215565 2140431130