Search a number
-
+
10000020000240 = 24365171468107
BaseRepresentation
bin1001000110000100111110…
…1000111100110111110000
31022101222210120212101000000
42101201033220330313300
52302320020110001430
633133540141430000
72051322550344114
oct221411750746760
938358716771000
1010000020000240
113205a91654546
1211560a256b300
13576cc833ba9a
14268009a57744
151251cba93e60
hex9184fa3cdf0

10000020000240 has 140 divisors (see below), whose sum is σ = 34859123420184. Its totient is φ = 2666671984512.

The previous prime is 10000020000211. The next prime is 10000020000241. The reversal of 10000020000240 is 4200002000001.

10000020000240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000020000241) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 85675734 + ... + 85792373.

Almost surely, 210000020000240 is an apocalyptic number.

10000020000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000020000240 is an abundant number, since it is smaller than the sum of its proper divisors (24859103419944).

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

10000020000240 is an equidigital number, since it uses as much as digits as its factorization.

10000020000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171468138 (or 171468117 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10000020000240 its reverse (4200002000001), we get a palindrome (14200022000241).

The spelling of 10000020000240 in words is "ten trillion, twenty million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 29160 58320 171468107 342936214 514404321 685872428 857340535 1028808642 1371744856 1543212963 1714681070 2057617284 2572021605 2743489712 3086425926 3429362140 4115234568 4629638889 5144043210 6172851852 6858724280 7716064815 8230469136 9259277778 10288086420 12345703704 13717448560 13888916667 15432129630 18518555556 20576172840 23148194445 24691407408 27777833334 30864259260 37037111112 41152345680 41666750001 46296388890 55555666668 61728518520 69444583335 74074222224 83333500002 92592777780 111111333336 123457037040 125000250003 138889166670 166667000004 185185555560 208333750005 222222666672 250000500006 277778333340 333334000008 370371111120 416667500010 500001000012 555556666680 625001250015 666668000016 833335000020 1000002000024 1111113333360 1250002500030 1666670000040 2000004000048 2500005000060 3333340000080 5000010000120 10000020000240