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231145155321300 = 2232521123347995487
BaseRepresentation
bin110100100011100110101100…
…110111111101110111010100
31010022102021001022002120121200
4310203212230313331313110
5220244040234230240200
62135334341325312500
766454454266441443
oct6443465467756724
91108367038076550
10231145155321300
1167717123267650
1221b11590a05730
139bc8b8262a50c
1441116b15b8d5a
151bac938bd8800
hexd239acdfddd4

231145155321300 has 108 divisors (see below), whose sum is σ = 790376343259776. Its totient is φ = 56035189166400.

The previous prime is 231145155321299. The next prime is 231145155321307. The reversal of 231145155321300 is 3123551541132.

It is a happy number.

231145155321300 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 4 + 51 + 553 + 21 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231145155321307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11673987844 + ... + 11674007643.

Almost surely, 2231145155321300 is an apocalyptic number.

231145155321300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231145155321300 is an abundant number, since it is smaller than the sum of its proper divisors (559231187938476).

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

231145155321300 is a wasteful number, since it uses less digits than its factorization.

231145155321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23347995518 (or 23347995508 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 231145155321300 in words is "two hundred thirty-one trillion, one hundred forty-five billion, one hundred fifty-five million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 23347995487 46695990974 70043986461 93391981948 116739977435 140087972922 210131959383 233479954870 256827950357 280175945844 350219932305 420263918766 466959909740 513655900714 583699887175 700439864610 770483851071 840527837532 1027311801428 1050659796915 1167399774350 1284139751785 1400879729220 1540967702142 1751099661525 2101319593830 2311451553213 2334799548700 2568279503570 3081935404284 3502199323050 3852419255355 4202639187660 4622903106426 5136559007140 5253298984575 6420698758925 7004398646100 7704838510710 9245806212852 10506597969150 11557257766065 12841397517850 15409677021420 19262096276775 21013195938300 23114515532130 25682795035700 38524192553550 46229031064260 57786288830325 77048385107100 115572577660650 231145155321300