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12582189130 = 2572971012621
BaseRepresentation
bin10111011011111010…
…01111100001001010
31012110212121102200211
423231331033201022
5201232020023010
65440303551334
7623540562100
oct135575174112
935425542624
1012582189130
115377354a15
1225318bb54a
131256965534
14875089c70
154d992108a
hex2edf4f84a

12582189130 has 96 divisors (see below), whose sum is σ = 26890959312. Its totient is φ = 4225536000.

The previous prime is 12582189127. The next prime is 12582189133. The reversal of 12582189130 is 3198128521.

It is an interprime number because it is at equal distance from previous prime (12582189127) and next prime (12582189133).

It can be written as a sum of positive squares in 8 ways, for example, as 10558179009 + 2024010121 = 102753^2 + 44989^2 .

It is a super-2 number, since 2×125821891302 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12582189133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4799220 + ... + 4801840.

Almost surely, 212582189130 is an apocalyptic number.

12582189130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12582189130 is an abundant number, since it is smaller than the sum of its proper divisors (14308770182).

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

12582189130 is a wasteful number, since it uses less digits than its factorization.

12582189130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 12582189130 in words is "twelve billion, five hundred eighty-two million, one hundred eighty-nine thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 97 98 101 194 202 245 485 490 505 679 707 970 1010 1358 1414 2621 3395 3535 4753 4949 5242 6790 7070 9506 9797 9898 13105 18347 19594 23765 24745 26210 36694 47530 48985 49490 68579 91735 97970 128429 137158 183470 254237 256858 264721 342895 480053 508474 529442 642145 685790 960106 1271185 1284290 1323605 1779659 1853047 2400265 2542370 2647210 3559318 3706094 4800530 8898295 9265235 12457613 12971329 17796590 18530470 24915226 25677937 25942658 51355874 62288065 64856645 124576130 128389685 129713290 179745559 256779370 359491118 898727795 1258218913 1797455590 2516437826 6291094565 12582189130