Search a number
-
+
31013333311230 = 23351710365599199
BaseRepresentation
bin1110000110100110110101…
…01101110001111011111110
311001210211211112002120111000
413003103122231301323332
513031110301311424410
6145543154552511130
76350432211411564
oct703233255617376
9131724745076430
1031013333311230
119977754158026
12358a7126ab4a6
13143c710b6b75a
147930a6523a34
1538badbd80dc0
hex1c34dab71efe

31013333311230 has 128 divisors (see below), whose sum is σ = 88417225728000. Its totient is φ = 7708168161792.

The previous prime is 31013333311223. The next prime is 31013333311241. The reversal of 31013333311230 is 3211333331013.

31013333311230 is a `hidden beast` number, since 3 + 1 + 0 + 13 + 333 + 311 + 2 + 3 + 0 = 666.

It is a super-2 number, since 2×310133333112302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31013333311194 and 31013333311203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32326830 + ... + 33272369.

It is an arithmetic number, because the mean of its divisors is an integer number (690759576000).

Almost surely, 231013333311230 is an apocalyptic number.

31013333311230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31013333311230 is an abundant number, since it is smaller than the sum of its proper divisors (57403892416770).

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

31013333311230 is a wasteful number, since it uses less digits than its factorization.

31013333311230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65599335 (or 65599329 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 31013333311230 its reverse (3211333331013), we get a palindrome (34224666642243).

The spelling of 31013333311230 in words is "thirty-one trillion, thirteen billion, three hundred thirty-three million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 103 135 153 170 206 255 270 306 309 459 510 515 618 765 918 927 1030 1530 1545 1751 1854 2295 2781 3090 3502 4590 4635 5253 5562 8755 9270 10506 13905 15759 17510 26265 27810 31518 47277 52530 78795 94554 157590 236385 472770 65599199 131198398 196797597 327995995 393595194 590392791 655991990 983987985 1115186383 1180785582 1771178373 1967975970 2230372766 2951963955 3345559149 3542356746 5575931915 5903927910 6691118298 6756717497 8855891865 10036677447 11151863830 13513434994 16727795745 17711783730 20073354894 20270152491 30110032341 33455591490 33783587485 40540304982 50183387235 60220064682 60810457473 67567174970 100366774470 101350762455 114864197449 121620914946 150550161705 182431372419 202701524910 229728394898 301100323410 304052287365 344592592347 364862744838 574320987245 608104574730 689185184694 912156862095 1033777777041 1148641974490 1722962961735 1824313724190 2067555554082 3101333331123 3445925923470 5168888885205 6202666662246 10337777770410 15506666655615 31013333311230