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12103130144 = 2572173491301
BaseRepresentation
bin10110100010110011…
…10001110000100000
31011020111011201022102
423101121301300200
5144241400131034
65320552025532
7605632623500
oct132131616040
934214151272
1012103130144
1151509a08a6
1224193922a8
1311ab632c91
1482b5c5a00
154ac84297e
hex2d1671c20

12103130144 has 144 divisors (see below), whose sum is σ = 29455536600. Its totient is φ = 4864204800.

The previous prime is 12103130107. The next prime is 12103130183. The reversal of 12103130144 is 44103130121.

It can be written as a sum of positive squares in 4 ways, for example, as 9358627600 + 2744502544 = 96740^2 + 52388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9302294 + ... + 9303594.

Almost surely, 212103130144 is an apocalyptic number.

12103130144 is a gapful number since it is divisible by the number (14) 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 12103130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14727768300).

12103130144 is an abundant number, since it is smaller than the sum of its proper divisors (17352406456).

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

12103130144 is a wasteful number, since it uses less digits than its factorization.

12103130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12103130144 its reverse (44103130121), we get a palindrome (56206260265).

The spelling of 12103130144 in words is "twelve billion, one hundred three million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 349 392 476 544 698 784 833 952 1301 1396 1568 1666 1904 2443 2602 2792 3332 3808 4886 5204 5584 5933 6664 9107 9772 10408 11168 11866 13328 17101 18214 19544 20816 22117 23732 26656 34202 36428 39088 41531 41632 44234 47464 63749 68404 72856 78176 83062 88468 94928 127498 136808 145712 154819 166124 176936 189856 254996 273616 290717 291424 309638 332248 353872 454049 509992 547232 581434 619276 664496 707744 908098 1019984 1083733 1162868 1238552 1328992 1816196 2039968 2167466 2325736 2477104 3178343 3632392 4334932 4651472 4954208 6356686 7264784 7718833 8669864 9302944 12713372 14529568 15437666 17339728 22248401 25426744 30875332 34679456 44496802 50853488 54031831 61750664 88993604 101706976 108063662 123501328 177987208 216127324 247002656 355974416 378222817 432254648 711948832 756445634 864509296 1512891268 1729018592 3025782536 6051565072 12103130144