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231042100443344 = 242361101402125343
BaseRepresentation
bin110100100010000110101110…
…010100110011100011010000
31010022001102001020011100121222
4310202012232110303203100
5220240343210203141334
62135215135313504212
766444145426435301
oct6442065624634320
91108042036140558
10231042100443344
116768744a499523
1221ab560bb72068
139bbc23ac60aa8
14410a6d69487a8
151ba9e066b9d2e
hexd221ae5338d0

231042100443344 has 160 divisors (see below), whose sum is σ = 479603145719808. Its totient is φ = 107579831040000.

The previous prime is 231042100443269. The next prime is 231042100443353. The reversal of 231042100443344 is 443344001240132.

It is a super-2 number, since 2×2310421004433442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9116591537 + ... + 9116616879.

Almost surely, 2231042100443344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231042100443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239801572859904).

231042100443344 is an abundant number, since it is smaller than the sum of its proper divisors (248561045276464).

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

231042100443344 is a wasteful number, since it uses less digits than its factorization.

231042100443344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29557 (or 29551 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 231042100443344 its reverse (443344001240132), we get a palindrome (674386101683476).

The spelling of 231042100443344 in words is "two hundred thirty-one trillion, forty-two billion, one hundred million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 46 61 92 101 122 184 202 244 368 404 488 808 976 1403 1616 2323 2806 4021 4646 5612 6161 8042 9292 11224 12322 16084 18584 22448 24644 25343 32168 37168 49288 50686 64336 92483 98576 101372 141703 184966 202744 245281 283406 369932 405488 406121 490562 566812 582889 739864 812242 981124 1133624 1165778 1479728 1545923 1624484 1962248 2267248 2331556 2559643 3091846 3248968 3924496 4663112 5119286 5641463 6183692 6497936 9326224 9340783 10238572 11282926 12367384 18681566 20477144 22565852 24734768 24773381 35556229 37363132 40954288 45131704 49546762 58871789 71112458 74726264 90263408 99093524 101904203 117743578 142224916 149452528 156138223 198187048 203808406 235487156 284449832 312276446 396374096 407616812 470974312 568899664 569787763 624552892 815233624 941948624 1139575526 1249105784 1630467248 2279151052 2343796669 2498211568 3591179129 4558302104 4687593338 6216156383 7182358258 9116604208 9375186676 10292324503 12432312766 14364716516 18750373352 20584649006 24864625532 28729433032 37500746704 41169298012 49729251064 57458866064 82338596024 99458502128 142971596809 164677192048 236723463569 285943193618 473446927138 571886387236 627831794683 946893854276 1143772774472 1255663589366 1893787708552 2287545548944 2511327178732 3787575417104 5022654357464 10045308714928 14440131277709 28880262555418 57760525110836 115521050221672 231042100443344