Search a number
-
+
1230131113020 = 2232561200355933
BaseRepresentation
bin10001111001101001100…
…001110010110000111100
311100121011221201020121100
4101321221201302300330
5130123302031104040
62341040414533100
7154605536636415
oct21715141626074
94317157636540
101230131113020
11434771a42297
1217a4a8507190
138c001b98074
144377814280c
1521eea0b2b30
hex11e69872c3c

1230131113020 has 144 divisors (see below), whose sum is σ = 3794529447072. Its totient is φ = 322490488320.

The previous prime is 1230131112967. The next prime is 1230131113027. The reversal of 1230131113020 is 203111310321.

1230131113020 is a `hidden beast` number, since 1 + 2 + 301 + 311 + 1 + 30 + 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 = 1230131112984 and 1230131113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230131113027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21964974 + ... + 22020906.

It is an arithmetic number, because the mean of its divisors is an integer number (26350898938).

Almost surely, 21230131113020 is an apocalyptic number.

1230131113020 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 1230131113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897264723536).

1230131113020 is an abundant number, since it is smaller than the sum of its proper divisors (2564398334052).

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

1230131113020 is a wasteful number, since it uses less digits than its factorization.

1230131113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58012 (or 58007 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1230131113020 its reverse (203111310321), we get a palindrome (1433242423341).

The spelling of 1230131113020 in words is "one trillion, two hundred thirty billion, one hundred thirty-one million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2003 2196 2745 3660 4006 5490 6009 8012 10015 10980 12018 18027 20030 24036 30045 36054 40060 55933 60090 72108 90135 111866 120180 122183 167799 180270 223732 244366 279665 335598 360540 366549 488732 503397 559330 610915 671196 733098 838995 1006794 1099647 1118660 1221830 1466196 1677990 1832745 2013588 2199294 2443660 2516985 3355980 3411913 3665490 4398588 5033970 5498235 6823826 7330980 10067940 10235739 10996470 13647652 17059565 20471478 21992940 30707217 34119130 40942956 51178695 61414434 68238260 102357390 112033799 122828868 153536085 204714780 224067598 307072170 336101397 448135196 560168995 614144340 672202794 1008304191 1120337990 1344405588 1680506985 2016608382 2240675980 3361013970 4033216764 5041520955 6722027940 6834061739 10083041910 13668123478 20166083820 20502185217 27336246956 34170308695 41004370434 61506555651 68340617390 82008740868 102510926085 123013111302 136681234780 205021852170 246026222604 307532778255 410043704340 615065556510 1230131113020