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12100230142 = 271141319239
BaseRepresentation
bin10110100010011101…
…01101101111111110
31011020021201101020221
423101032231233332
5144240124331032
65320405531554
7605566154620
oct132116555776
934207641227
1012100230142
11514a2a0000
122418413bba
1311aab58cc0
1482b06cc10
154ac46d597
hex2d13adbfe

12100230142 has 160 divisors (see below), whose sum is σ = 25974144000. Its totient is φ = 4105442880.

The previous prime is 12100230133. The next prime is 12100230221. The reversal of 12100230142 is 24103200121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50628459 + ... + 50628697.

It is an arithmetic number, because the mean of its divisors is an integer number (162338400).

Almost surely, 212100230142 is an apocalyptic number.

12100230142 is an abundant number, since it is smaller than the sum of its proper divisors (13873913858).

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

12100230142 is a wasteful number, since it uses less digits than its factorization.

12100230142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12100230142 its reverse (24103200121), we get a palindrome (36203430263).

It can be divided in two parts, 12100 and 230142, that added together give a palindrome (242242).

The spelling of 12100230142 in words is "twelve billion, one hundred million, two hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 19 22 26 38 77 91 121 133 143 154 182 209 239 242 247 266 286 418 478 494 847 1001 1331 1463 1573 1673 1694 1729 2002 2299 2629 2662 2717 2926 3107 3146 3346 3458 4541 4598 5258 5434 6214 9082 9317 11011 14641 16093 17303 18403 18634 19019 21749 22022 25289 28919 29282 29887 31787 32186 34177 34606 36806 38038 43498 49951 50578 57838 59033 59774 63574 68354 99902 102487 118066 121121 177023 190333 202433 204974 209209 239239 242242 278179 318109 328757 349657 354046 375947 380666 404866 413231 418418 478478 549461 556358 636218 649363 657514 699314 751894 826462 1098922 1298726 1332331 1947253 2226763 2301299 2631629 2664662 3499199 3616327 3846227 3894506 4135417 4453526 4545541 4602598 5263258 6044071 6998398 7142993 7232654 7692454 8270834 9091082 12088142 14285986 24494393 25314289 28947919 42308497 45489587 48988786 50000951 50628578 57895838 66484781 78572923 84616994 90979174 100001902 132969562 157145846 318427109 465393467 550010461 636854218 864302153 930786934 1100020922 1728604306 6050115071 12100230142