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103314040221240 = 23345103213089531
BaseRepresentation
bin10111011111011010101100…
…101010101110111000111000
3111112210201121002122222020000
4113133122230222232320320
5102020144123244034430
61003421452002033000
730522123141216432
oct2737325452567070
9445721532588200
10103314040221240
112aa1226934a182
12b706b53048760
13458561a526a64
141b725d77d3652
15be267e0ece60
hex5df6acaaee38

103314040221240 has 160 divisors (see below), whose sum is σ = 347283725920560. Its totient is φ = 27547732454400.

The previous prime is 103314040221209. The next prime is 103314040221281. The reversal of 103314040221240 is 42122040413301.

103314040221240 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 4 + 0 + 402 + 212 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31895275 + ... + 34984805.

Almost surely, 2103314040221240 is an apocalyptic number.

103314040221240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103314040221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173641862960280).

103314040221240 is an abundant number, since it is smaller than the sum of its proper divisors (243969685699320).

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

103314040221240 is a wasteful number, since it uses less digits than its factorization.

103314040221240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099875 (or 3099862 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103314040221240 its reverse (42122040413301), we get a palindrome (145436080634541).

The spelling of 103314040221240 in words is "one hundred three trillion, three hundred fourteen billion, forty million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 10321 20642 30963 41284 51605 61926 82568 92889 103210 123852 154815 185778 206420 247704 278667 309630 371556 412840 464445 557334 619260 743112 836001 928890 1114668 1238520 1393335 1672002 1857780 2229336 2786670 3089531 3344004 3715560 4180005 5573340 6179062 6688008 8360010 9268593 11146680 12358124 15447655 16720020 18537186 24716248 27805779 30895310 33440040 37074372 46342965 55611558 61790620 74148744 83417337 92685930 111223116 123581240 139028895 166834674 185371860 222446232 250252011 278057790 333669348 370743720 417086685 500504022 556115580 667338696 834173370 1001008044 1112231160 1251260055 1668346740 2002016088 2502520110 3336693480 5005040220 10010080440 31887049451 63774098902 95661148353 127548197804 159435247255 191322296706 255096395608 286983445059 318870494510 382644593412 478305741765 573966890118 637740989020 765289186824 860950335177 956611483530 1147933780236 1275481978040 1434917225295 1721900670354 1913222967060 2295867560472 2582851005531 2869834450590 3443801340708 3826445934120 4304751675885 5165702011062 5739668901180 6887602681416 8609503351770 10331404022124 11479337802360 12914255027655 17219006703540 20662808044248 25828510055310 34438013407080 51657020110620 103314040221240