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231120132100 = 2252111349132917
BaseRepresentation
bin1101011100111111010…
…1010101100000000100
3211002120011022012020121
43113033311111200010
512241313223211400
6254101454311324
722461241465054
oct3271765254004
9732504265217
10231120132100
118a021320040
12389617b8544
1318a43793520
14b2871c9564
15602a5ae21a
hex35cfd55804

231120132100 has 144 divisors (see below), whose sum is σ = 590428835136. Its totient is φ = 77418432000.

The previous prime is 231120132091. The next prime is 231120132161. The reversal of 231120132100 is 1231021132.

231120132100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7004842 + ... + 7037758.

It is an arithmetic number, because the mean of its divisors is an integer number (4100200244).

Almost surely, 2231120132100 is an apocalyptic number.

231120132100 is a gapful number since it is divisible by the number (20) 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 231120132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295214417568).

231120132100 is an abundant number, since it is smaller than the sum of its proper divisors (359308703036).

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

231120132100 is a wasteful number, since it uses less digits than its factorization.

231120132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33446 (or 33439 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 231120132100 its reverse (1231021132), we get a palindrome (232351153232).

The spelling of 231120132100 in words is "two hundred thirty-one billion, one hundred twenty million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 491 550 572 650 715 982 1100 1300 1430 1964 2455 2860 3575 4910 5401 6383 7150 9820 10802 12275 12766 14300 21604 24550 25532 27005 31915 32917 49100 54010 63830 65834 70213 108020 127660 131668 135025 140426 159575 164585 270050 280852 319150 329170 351065 362087 427921 540100 638300 658340 702130 724174 822925 855842 1404260 1448348 1645850 1711684 1755325 1810435 2139605 3291700 3510650 3620870 4279210 4707131 7021300 7241740 8558420 9052175 9414262 10698025 16162247 18104350 18828524 21396050 23535655 32324494 36208700 42792100 47071310 64648988 80811235 94142620 117678275 161622470 177784717 210109211 235356550 323244940 355569434 404056175 420218422 470713100 711138868 808112350 840436844 888923585 1050546055 1616224700 1777847170 2101092110 2311201321 3555694340 4202184220 4444617925 4622402642 5252730275 8889235850 9244805284 10505460550 11556006605 17778471700 21010921100 23112013210 46224026420 57780033025 115560066050 231120132100