Search a number
-
+
13022021102310 = 23251129712327607
BaseRepresentation
bin1011110101111110110011…
…1100010010101011100110
31201002220010001002102200100
42331133230330102223212
53201323044400233220
643410122305124530
72512544552030013
oct275375474225346
951086101072610
1013022021102310
114170676479900
121563908629746
13735c81cb847c
143303aa8da70a
15178aeca82d90
hexbd7ecf12ae6

13022021102310 has 144 divisors (see below), whose sum is σ = 37598661985248. Its totient is φ = 3124308464640.

The previous prime is 13022021102221. The next prime is 13022021102399. The reversal of 13022021102310 is 1320112022031.

13022021102310 is a `hidden beast` number, since 1 + 3 + 0 + 220 + 211 + 0 + 231 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13022021102221) and next prime (13022021102399).

It is a super-2 number, since 2×130220211023102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5107474 + ... + 7220133.

It is an arithmetic number, because the mean of its divisors is an integer number (261101819342).

Almost surely, 213022021102310 is an apocalyptic number.

13022021102310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13022021102310 is an abundant number, since it is smaller than the sum of its proper divisors (24576640882938).

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

13022021102310 is a wasteful number, since it uses less digits than its factorization.

13022021102310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12327739 (or 12327725 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13022021102310 its reverse (1320112022031), we get a palindrome (14342133124341).

The spelling of 13022021102310 in words is "thirteen trillion, twenty-two billion, twenty-one million, one hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 97 99 110 121 165 194 198 242 291 330 363 485 495 582 605 726 873 970 990 1067 1089 1210 1455 1746 1815 2134 2178 2910 3201 3630 4365 5335 5445 6402 8730 9603 10670 10890 11737 16005 19206 23474 32010 35211 48015 58685 70422 96030 105633 117370 176055 211266 352110 528165 1056330 12327607 24655214 36982821 61638035 73965642 110948463 123276070 135603677 184914105 221896926 271207354 369828210 406811031 554742315 678018385 813622062 1109484630 1195777879 1220433093 1356036770 1491640447 2034055155 2391555758 2440866186 2983280894 3587333637 4068110310 4474921341 5978889395 6102165465 7174667274 7458202235 8949842682 10762000911 11957778790 12204330930 13153556669 13424764023 14916404470 17936668185 21524001822 22374606705 26307113338 26849528046 35873336370 39460670007 44749213410 53810004555 65767783345 67123820115 78921340014 107620009110 118382010021 131535566690 134247640230 144689123359 197303350035 236764020042 289378246718 394606700070 434067370077 591910050105 723445616795 868134740154 1183820100210 1302202110231 1446891233590 2170336850385 2604404220462 4340673700770 6511010551155 13022021102310