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12753301000 = 2353112939979
BaseRepresentation
bin10111110000010011…
…11110111000001000
31012220210120211001111
423320021332320020
5202104321113000
65505255300104
7631016161366
oct137011767010
935823524044
1012753301000
1154549a6890
12257b07a634
13128324696b
1488daac636
154e9970cba
hex2f827ee08

12753301000 has 128 divisors (see below), whose sum is σ = 33679152000. Its totient is φ = 4477536000.

The previous prime is 12753300953. The next prime is 12753301031. The reversal of 12753301000 is 10335721.

12753301000 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 (22).

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 31 ways as a sum of consecutive naturals, for example, 299011 + ... + 338989.

It is an arithmetic number, because the mean of its divisors is an integer number (263118375).

Almost surely, 212753301000 is an apocalyptic number.

12753301000 is a gapful number since it is divisible by the number (10) 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 12753301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16839576000).

12753301000 is an abundant number, since it is smaller than the sum of its proper divisors (20925851000).

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

12753301000 is a wasteful number, since it uses less digits than its factorization.

12753301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40040 (or 40026 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

Adding to 12753301000 its reverse (10335721), we get a palindrome (12763636721).

The spelling of 12753301000 in words is "twelve billion, seven hundred fifty-three million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 39875 39979 63800 79750 79958 159500 159916 199895 319000 319832 399790 439769 799580 879538 999475 1159391 1599160 1759076 1998950 2198845 2318782 3518152 3997900 4397690 4637564 4997375 5796955 7995800 8795380 9275128 9994750 10994225 11593910 12753301 17590760 19989500 21988450 23187820 25506602 28984775 39979000 43976900 46375640 51013204 54971125 57969550 63766505 87953800 102026408 109942250 115939100 127533010 144923875 219884500 231878200 255066020 289847750 318832525 439769000 510132040 579695500 637665050 1159391000 1275330100 1594162625 2550660200 3188325250 6376650500 12753301000