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12553100120 = 235111910114867
BaseRepresentation
bin10111011000011100…
…10001101101011000
31012101211212120002002
423230032101231120
5201202043200440
65433344300132
7623035406351
oct135416215530
935354776062
1012553100120
115361996a10
122524011648
13125091c0c2
14871276d28
154d70c7115
hex2ec391b58

12553100120 has 128 divisors (see below), whose sum is σ = 32757177600. Its totient is φ = 4281408000.

The previous prime is 12553100113. The next prime is 12553100137. The reversal of 12553100120 is 2100135521.

It is a happy number.

12553100120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 12553100092 and 12553100101.

It is a congruent number.

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, 836927 + ... + 851793.

It is an arithmetic number, because the mean of its divisors is an integer number (255915450).

Almost surely, 212553100120 is an apocalyptic number.

12553100120 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 12553100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378588800).

12553100120 is an abundant number, since it is smaller than the sum of its proper divisors (20204077480).

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

12553100120 is a wasteful number, since it uses less digits than its factorization.

12553100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15009 (or 15005 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 12553100120 its reverse (2100135521), we get a palindrome (14653235641).

The spelling of 12553100120 in words is "twelve billion, five hundred fifty-three million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 101 110 152 190 202 209 220 380 404 418 440 505 760 808 836 1010 1045 1111 1672 1919 2020 2090 2222 3838 4040 4180 4444 5555 7676 8360 8888 9595 11110 14867 15352 19190 21109 22220 29734 38380 42218 44440 59468 74335 76760 84436 105545 118936 148670 163537 168872 211090 282473 297340 327074 422180 564946 594680 654148 817685 844360 1129892 1308296 1412365 1501567 1635370 2259784 2824730 3003134 3107203 3270740 5649460 6006268 6214406 6541480 7507835 11298920 12012536 12428812 15015670 15536015 16517237 24857624 28529773 30031340 31072030 33034474 57059546 60062680 62144060 66068948 82586185 114119092 124288120 132137896 142648865 165172370 228238184 285297730 313827503 330344740 570595460 627655006 660689480 1141190920 1255310012 1569137515 2510620024 3138275030 6276550060 12553100120