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230211233012112 = 243111929791299679
BaseRepresentation
bin110100010110000000111010…
…110001000101100110010000
31010012002222102122111122022120
4310112000322301011212100
5220133240101122341422
62133341325213134240
766330132651003342
oct6426007261054620
91105088378448276
10230211233012112
1167397043493890
12219a059018a380
139b5ba97cb9c11
1440bc3d6c99292
151b934c855745c
hexd1603ac45990

230211233012112 has 160 divisors (see below), whose sum is σ = 706472354304000. Its totient is φ = 63810406033920.

The previous prime is 230211233012053. The next prime is 230211233012129. The reversal of 230211233012112 is 211210332112032.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 395358912 + ... + 395940767.

It is an arithmetic number, because the mean of its divisors is an integer number (4415452214400).

Almost surely, 2230211233012112 is an apocalyptic number.

230211233012112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230211233012112 is an abundant number, since it is smaller than the sum of its proper divisors (476261121291888).

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

230211233012112 is a wasteful number, since it uses less digits than its factorization.

230211233012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791299749 (or 791299743 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 230211233012112 its reverse (211210332112032), we get a palindrome (441421565124144).

The spelling of 230211233012112 in words is "two hundred thirty trillion, two hundred eleven billion, two hundred thirty-three million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 29 33 38 44 48 57 58 66 76 87 88 114 116 132 152 174 176 209 228 232 264 304 319 348 418 456 464 528 551 627 638 696 836 912 957 1102 1254 1276 1392 1653 1672 1914 2204 2508 2552 3306 3344 3828 4408 5016 5104 6061 6612 7656 8816 10032 12122 13224 15312 18183 24244 26448 36366 48488 72732 96976 145464 290928 791299679 1582599358 2373899037 3165198716 4747798074 6330397432 8704296469 9495596148 12660794864 15034693901 17408592938 18991192296 22947690691 26112889407 30069387802 34817185876 37982384592 45104081703 45895381382 52225778814 60138775604 68843072073 69634371752 90208163406 91790762764 104451557628 120277551208 137686144146 139268743504 165381632911 180416326812 183581525528 208903115256 240555102416 252424597601 275372288292 330763265822 360832653624 367163051056 417806230512 436006123129 496144898733 504849195202 550744576584 661526531644 721665307248 757273792803 872012246258 992289797466 1009698390404 1101489153168 1308018369387 1323053063288 1514547585606 1744024492516 1984579594932 2019396780808 2616036738774 2646106126576 3029095171212 3488048985032 3969159189864 4038793561616 4796067354419 5232073477548 6058190342424 6976097970064 7938318379728 9592134708838 10464146955096 12116380684848 14388202063257 19184269417676 20928293910192 28776404126514 38368538835352 57552808253028 76737077670704 115105616506056 230211233012112