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12355324140 = 2235297100761
BaseRepresentation
bin10111000000110111…
…10100100011101100
31011220001201111102210
423200123310203230
5200300430333030
65402001250420
7615114344115
oct134033644354
934801644383
1012355324140
115270292995
122489933a10
13121b9631b3
14852cb320c
154c4a5bbb0
hex2e06f48ec

12355324140 has 48 divisors (see below), whose sum is σ = 35787840480. Its totient is φ = 3181140480.

The previous prime is 12355324099. The next prime is 12355324183. The reversal of 12355324140 is 4142355321.

12355324140 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 12355324098 and 12355324107.

It is an unprimeable number.

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, 3548641 + ... + 3552120.

It is an arithmetic number, because the mean of its divisors is an integer number (745580010).

Almost surely, 212355324140 is an apocalyptic number.

12355324140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12355324140 is an abundant number, since it is smaller than the sum of its proper divisors (23432516340).

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

12355324140 is a wasteful number, since it uses less digits than its factorization.

12355324140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100802 (or 7100800 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 12355324140 its reverse (4142355321), we get a palindrome (16497679461).

The spelling of 12355324140 in words is "twelve billion, three hundred fifty-five million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 7100761 14201522 21302283 28403044 35503805 42604566 71007610 85209132 106511415 142015220 205922069 213022830 411844138 426045660 617766207 823688276 1029610345 1235532414 2059220690 2471064828 3088831035 4118441380 6177662070 12355324140