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203102330040 = 23335809232457
BaseRepresentation
bin1011110100100111010…
…1111001110010111000
3201102020112212101021000
42331021311321302320
511311423144030130
6233145351445000
720450031215001
oct2751165716270
9642215771230
10203102330040
1179153a74725
1233442686760
13161c9c8191c
149b8a1241a8
15543a9cd260
hex2f49d79cb8

203102330040 has 128 divisors (see below), whose sum is σ = 677847528000. Its totient is φ = 54093441024.

The previous prime is 203102330017. The next prime is 203102330063. The reversal of 203102330040 is 40033201302.

203102330040 is a `hidden beast` number, since 20 + 310 + 2 + 330 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (203102330017) and next prime (203102330063).

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

It is a junction number, because it is equal to n+sod(n) for n = 203102329995 and 203102330022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757492 + ... + 989948.

Almost surely, 2203102330040 is an apocalyptic number.

203102330040 is a gapful number since it is divisible by the number (20) 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 203102330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338923764000).

203102330040 is an abundant number, since it is smaller than the sum of its proper divisors (474745197960).

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

203102330040 is a wasteful number, since it uses less digits than its factorization.

203102330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233286 (or 233276 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 203102330040 its reverse (40033201302), we get a palindrome (243135531342).

The spelling of 203102330040 in words is "two hundred three billion, one hundred two million, three hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 809 1080 1618 2427 3236 4045 4854 6472 7281 8090 9708 12135 14562 16180 19416 21843 24270 29124 32360 36405 43686 48540 58248 72810 87372 97080 109215 145620 174744 218430 232457 291240 436860 464914 697371 873720 929828 1162285 1394742 1859656 2092113 2324570 2789484 3486855 4184226 4649140 5578968 6276339 6973710 8368452 9298280 10460565 12552678 13947420 16736904 20921130 25105356 27894840 31381695 41842260 50210712 62763390 83684520 125526780 188057713 251053560 376115426 564173139 752230852 940288565 1128346278 1504461704 1692519417 1880577130 2256692556 2820865695 3385038834 3761154260 4513385112 5077558251 5641731390 6770077668 7522308520 8462597085 10155116502 11283462780 13540155336 16925194170 20310233004 22566925560 25387791255 33850388340 40620466008 50775582510 67700776680 101551165020 203102330040