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12540103020 = 2233523222413
BaseRepresentation
bin10111010110111001…
…01100100101101100
31012100221102020102000
423223130230211230
5201140231244040
65432201532300
7622520055054
oct135334544554
935327366360
1012540103020
11535561a005
12251b7a4090
13124b01b303
1486d652564
154d5dab130
hex2eb72c96c

12540103020 has 48 divisors (see below), whose sum is σ = 39013655520. Its totient is φ = 3344027328.

The previous prime is 12540103013. The next prime is 12540103073. The reversal of 12540103020 is 2030104521.

12540103020 is a `hidden beast` number, since 1 + 2 + 540 + 103 + 0 + 20 = 666.

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 = 12540102984 and 12540103002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11610667 + ... + 11611746.

It is an arithmetic number, because the mean of its divisors is an integer number (812784490).

Almost surely, 212540103020 is an apocalyptic number.

12540103020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12540103020 is an abundant number, since it is smaller than the sum of its proper divisors (26473552500).

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

12540103020 is a wasteful number, since it uses less digits than its factorization.

12540103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23222431 (or 23222423 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12540103020 its reverse (2030104521), we get a palindrome (14570207541).

The spelling of 12540103020 in words is "twelve billion, five hundred forty million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 23222413 46444826 69667239 92889652 116112065 139334478 209001717 232224130 278668956 348336195 418003434 464448260 627005151 696672390 836006868 1045008585 1254010302 1393344780 2090017170 2508020604 3135025755 4180034340 6270051510 12540103020