Search a number
-
+
13131444121330 = 25178913725032531
BaseRepresentation
bin1011111100010110011100…
…0011111110111011110010
31201111100112220210201221111
42333011213003332323302
53210121144143340310
643532300244143534
72523500266243123
oct277054703767362
951440486721844
1013131444121330
114203017963627
121580b66097baa
1374339cab90c2
143357cb20a04a
1517b8a41a828a
hexbf1670feef2

13131444121330 has 128 divisors (see below), whose sum is σ = 25513182282240. Its totient is φ = 4848522117120.

The previous prime is 13131444121309. The next prime is 13131444121339. The reversal of 13131444121330 is 3312144413131.

It is a super-2 number, since 2×131314441213302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13131444121292 and 13131444121301.

It is not an unprimeable number, because it can be changed into a prime (13131444121339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5188242165 + ... + 5188244695.

It is an arithmetic number, because the mean of its divisors is an integer number (199321736580).

Almost surely, 213131444121330 is an apocalyptic number.

13131444121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131444121330 is a deficient number, since it is larger than the sum of its proper divisors (12381738160910).

13131444121330 is a wasteful number, since it uses less digits than its factorization.

13131444121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 13131444121330 its reverse (3312144413131), we get a palindrome (16443588534461).

The spelling of 13131444121330 in words is "thirteen trillion, one hundred thirty-one billion, four hundred forty-four million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 17 34 85 89 137 170 178 274 445 685 890 1370 1513 2329 2503 2531 3026 4658 5006 5062 7565 11645 12193 12515 12655 15130 23290 24386 25030 25310 42551 43027 60965 85102 86054 121930 207281 212755 215135 222767 225259 342911 346747 414562 425510 430270 445534 450518 685822 693494 1036405 1113835 1126295 1714555 1733735 2072810 2227670 2252590 3429110 3467470 3787039 3829403 5829487 5894699 6335093 7574078 7658806 11658974 11789398 12670186 18935195 19147015 29147435 29473495 30519079 30860483 31675465 37870390 38294030 58294870 58946990 61038158 61720966 63350930 107696581 152595395 154302415 215393162 305190790 308604830 518824343 524628211 538482905 563823277 867907741 1037648686 1049256422 1076965810 1127646554 1735815482 2594121715 2623141055 2819116385 4339538705 5188243430 5246282110 5638232770 8679077410 9584995709 14754431597 19169991418 29508863194 47924978545 73772157985 77243788949 95849957090 147544315970 154487577898 386218944745 772437889490 1313144412133 2626288824266 6565722060665 13131444121330