Search a number
-
+
102422312201040 = 24351377093425819
BaseRepresentation
bin10111010010011100001101…
…100010010010101101010000
3111102122110220001002000000220
4113102130031202102231100
5101411041343410413130
61001500054411513040
730400524243134166
oct2722341542225520
9442573801060026
10102422312201040
112a6a9071103227
12b5a2169158780
13451c4c874aa70
141b413a2c73236
15bc938cde3410
hex5d270d892b50

102422312201040 has 160 divisors (see below), whose sum is σ = 341938188305280. Its totient is φ = 25211259844608.

The previous prime is 102422312201023. The next prime is 102422312201047. The reversal of 102422312201040 is 40102213224201.

It is a super-3 number, since 3×1024223122010403 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102422312201040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102422312201047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240317251 + ... + 240743069.

It is an arithmetic number, because the mean of its divisors is an integer number (2137113676908).

Almost surely, 2102422312201040 is an apocalyptic number.

102422312201040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102422312201040 is an abundant number, since it is smaller than the sum of its proper divisors (239515876104240).

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

102422312201040 is a wasteful number, since it uses less digits than its factorization.

102422312201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502941 (or 502935 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102422312201040 its reverse (40102213224201), we get a palindrome (142524525425241).

The spelling of 102422312201040 in words is "one hundred two trillion, four hundred twenty-two billion, three hundred twelve million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 77093 154186 231279 308372 385465 425819 462558 616744 770930 851638 925116 1002209 1156395 1233488 1277457 1541860 1703276 1850232 2004418 2129095 2312790 2554914 3006627 3083720 3406552 3700464 4008836 4258190 4625580 5011045 5109828 5535647 6013254 6167440 6387285 6813104 8017672 8516380 9251160 10022090 10219656 11071294 12026508 12774570 15033135 16035344 16606941 17032760 18502320 20044180 20439312 22142588 24053016 25549140 27678235 30066270 33213882 34065520 40088360 44285176 48106032 51098280 55356470 60132540 66427764 80176720 83034705 88570352 102196560 110712940 120265080 132855528 166069410 221425880 240530160 265711056 332138820 442851760 664277640 1328555280 32827664167 65655328334 98482992501 131310656668 164138320835 196965985002 262621313336 328276641670 393931970004 426759634171 492414962505 525242626672 656553283340 787863940008 853519268342 984829925010 1280278902513 1313106566680 1575727880016 1707038536684 1969659850020 2133798170855 2560557805026 2626213133360 3414077073368 3939319700040 4267596341710 5121115610052 6401394512565 6828154146736 7878639400080 8535192683420 10242231220104 12802789025130 17070385366840 20484462440208 25605578050260 34140770733680 51211156100520 102422312201040