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10124101240 = 2351125319091
BaseRepresentation
bin10010110110111000…
…11000011001111000
3222010120021122000121
421123130120121320
5131213232214430
64352334343024
7505612304101
oct113334303170
928116248017
1010124101240
114325878120
121b6665aa74
13c5461c066
146c08293a8
153e3c23a7a
hex25b718678

10124101240 has 64 divisors (see below), whose sum is σ = 24862619520. Its totient is φ = 3679632000.

The previous prime is 10124101237. The next prime is 10124101243. The reversal of 10124101240 is 4210142101.

It is a happy number.

10124101240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10124101237) and next prime (10124101243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124101243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1109095 + ... + 1118185.

It is an arithmetic number, because the mean of its divisors is an integer number (388478430).

Almost surely, 210124101240 is an apocalyptic number.

10124101240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124101240 is an abundant number, since it is smaller than the sum of its proper divisors (14738518280).

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

10124101240 is a wasteful number, since it uses less digits than its factorization.

10124101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10124101240 its reverse (4210142101), we get a palindrome (14334243341).

The spelling of 10124101240 in words is "ten billion, one hundred twenty-four million, one hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2531 5062 9091 10124 12655 18182 20248 25310 27841 36364 45455 50620 55682 72728 90910 100001 101240 111364 139205 181820 200002 222728 278410 363640 400004 500005 556820 800008 1000010 1113640 2000020 4000040 23009321 46018642 92037284 115046605 184074568 230093210 253102531 460186420 506205062 920372840 1012410124 1265512655 2024820248 2531025310 5062050620 10124101240