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231110232144 = 243113316412063
BaseRepresentation
bin1101011100111100111…
…1100100100001010000
3211002112110200020001120
43113033033210201100
512241303204412034
6254100502202240
722461061363161
oct3271717444120
9732473606046
10231110232144
118a016779060
123895a423380
1318a4170836c
14b285b6d768
1560297a5c49
hex35cf3e4850

231110232144 has 160 divisors (see below), whose sum is σ = 654614673408. Its totient is φ = 69679104000.

The previous prime is 231110232139. The next prime is 231110232187. The reversal of 231110232144 is 441232011132.

231110232144 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 (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 112025257 + ... + 112027319.

Almost surely, 2231110232144 is an apocalyptic number.

231110232144 is a gapful number since it is divisible by the number (24) 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 231110232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327307336704).

231110232144 is an abundant number, since it is smaller than the sum of its proper divisors (423504441264).

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

231110232144 is a wasteful number, since it uses less digits than its factorization.

231110232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 231110232144 its reverse (441232011132), we get a palindrome (672342243276).

The spelling of 231110232144 in words is "two hundred thirty-one billion, one hundred ten million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 331 528 641 662 993 1282 1324 1923 1986 2063 2564 2648 3641 3846 3972 4126 5128 5296 6189 7051 7282 7692 7944 8252 10256 10923 12378 14102 14564 15384 15888 16504 21153 21846 22693 24756 28204 29128 30768 33008 42306 43692 45386 49512 56408 58256 68079 84612 87384 90772 99024 112816 136158 169224 174768 181544 212171 272316 338448 363088 424342 544632 636513 682853 848684 1089264 1273026 1322383 1365706 1697368 2048559 2333881 2546052 2644766 2731412 3394736 3967149 4097118 4667762 5092104 5289532 5462824 7001643 7511383 7934298 8194236 9335524 10184208 10579064 10925648 14003286 14546213 15022766 15868596 16388472 18671048 21158128 22534149 28006572 29092426 30045532 31737192 32776944 37342096 43638639 45068298 56013144 58184852 60091064 63474384 87277278 90136596 112026288 116369704 120182128 174554556 180273192 232739408 349109112 360546384 437708773 698218224 875417546 1313126319 1750835092 2626252638 3501670184 4814796503 5252505276 7003340368 9629593006 10505010552 14444389509 19259186012 21010021104 28888779018 38518372024 57777558036 77036744048 115555116072 231110232144