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12023201130 = 23547591131279
BaseRepresentation
bin10110011001010001…
…10111110101101010
31011000220202220022120
423030220313311222
5144110414414010
65305014532110
7603642344343
oct131450676552
934026686276
1012023201130
11510a868a66
1223b6667036
131197bc8cc5
14820b3b0ca
154a5804e70
hex2cca37d6a

12023201130 has 128 divisors (see below), whose sum is σ = 30257971200. Its totient is φ = 3055094784.

The previous prime is 12023201129. The next prime is 12023201137. The reversal of 12023201130 is 3110232021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12023201137) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9399831 + ... + 9401109.

It is an arithmetic number, because the mean of its divisors is an integer number (236390400).

Almost surely, 212023201130 is an apocalyptic number.

12023201130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15128985600).

12023201130 is an abundant number, since it is smaller than the sum of its proper divisors (18234770070).

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

12023201130 is a wasteful number, since it uses less digits than its factorization.

12023201130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12023201130 its reverse (3110232021), we get a palindrome (15133433151).

The spelling of 12023201130 in words is "twelve billion, twenty-three million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 59 94 113 118 141 177 226 235 282 295 339 354 470 565 590 678 705 885 1130 1279 1410 1695 1770 2558 2773 3390 3837 5311 5546 6395 6667 7674 8319 10622 12790 13334 13865 15933 16638 19185 20001 26555 27730 31866 33335 38370 40002 41595 53110 60113 66670 75461 79665 83190 100005 120226 144527 150922 159330 180339 200010 226383 289054 300565 313349 360678 377305 433581 452766 601130 626698 722635 754610 867162 901695 940047 1131915 1445270 1566745 1803390 1880094 2167905 2263830 3133490 3546667 4335810 4700235 6792769 7093334 8527093 9400470 10640001 13585538 17054186 17733335 20378307 21280002 25581279 33963845 35466670 40756614 42635465 51162558 53200005 67927690 85270930 101891535 106400010 127906395 203783070 255812790 400773371 801546742 1202320113 2003866855 2404640226 4007733710 6011600565 12023201130