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230045531200122 = 2311173347457127051
BaseRepresentation
bin110100010011100110100110…
…001010110101101001111010
31010011112010201121022102200210
4310103212212022311221322
5220123031221441400442
62133133242540211550
766312145500563511
oct6423464612655172
91104463647272623
10230045531200122
11673328420a6a10
1221974446b39bb6
139b4927b699661
1440b4397dd7678
151b8e02b23419c
hexd139a62b5a7a

230045531200122 has 128 divisors (see below), whose sum is σ = 507385402334208. Its totient is φ = 68956316352000.

The previous prime is 230045531200087. The next prime is 230045531200123. The reversal of 230045531200122 is 221002135540032.

It is a super-2 number, since 2×2300455312001222 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230045531200122.

It is not an unprimeable number, because it can be changed into a prime (230045531200123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1810591497 + ... + 1810718547.

It is an arithmetic number, because the mean of its divisors is an integer number (3963948455736).

Almost surely, 2230045531200122 is an apocalyptic number.

230045531200122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

230045531200122 is an abundant number, since it is smaller than the sum of its proper divisors (277339871134086).

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

230045531200122 is a wasteful number, since it uses less digits than its factorization.

230045531200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128044.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 230045531200122 its reverse (221002135540032), we get a palindrome (451047666740154).

The spelling of 230045531200122 in words is "two hundred thirty trillion, forty-five billion, five hundred thirty-one million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 173 346 347 457 519 694 914 1038 1041 1371 1903 2082 2742 3806 3817 5027 5709 7634 10054 11418 11451 15081 22902 30162 60031 79061 120062 127051 158122 158579 180093 237183 254102 317158 360186 381153 474366 475737 660341 762306 869671 951474 1320682 1397561 1739342 1744369 1981023 2609013 2795122 3488738 3962046 4192683 5218026 5233107 8385366 10466214 21979823 27434167 43959646 44086697 54868334 58062307 65939469 82302501 88173394 116124614 131878938 132260091 164605002 174186921 241778053 264520182 301775837 348373842 483556106 484953667 603551674 638685377 725334159 905327511 969907334 1277370754 1450668318 1454861001 1810655022 1916056131 2909722002 3832112262 7626998581 10044779111 15253997162 20089558222 20147620529 22880995743 30134337333 40295241058 45761991486 60268674666 60442861587 83896984391 110492570221 120885723174 167793968782 220985140442 221623825819 251690953173 331477710663 443247651638 503381906346 662955421326 664871477457 1329742954914 3485538351517 6971076703034 10456615054551 20913230109102 38340921866687 76681843733374 115022765600061 230045531200122