Search a number
-
+
121122165251003 = 71743672271556351
BaseRepresentation
bin11011100010100011110011…
…101000100101101110111011
3120212212011110221200012220112
4123202203303220211232323
5111333431143301013003
61105334430552414535
734340534111346560
oct3342436350455673
9525764427605815
10121122165251003
11356586926aa364
12117023540a744b
135277a04365787
1421ca4b6212867
15e009eaec83d8
hex6e28f3a25bbb

121122165251003 has 64 divisors (see below), whose sum is σ = 152885661401088. Its totient is φ = 93600930931200.

The previous prime is 121122165250981. The next prime is 121122165251029. The reversal of 121122165251003 is 300152561221121.

It is not a de Polignac number, because 121122165251003 - 214 = 121122165234619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121122165251603) 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, 77046278 + ... + 78602628.

It is an arithmetic number, because the mean of its divisors is an integer number (2388838459392).

Almost surely, 2121122165251003 is an apocalyptic number.

121122165251003 is a deficient number, since it is larger than the sum of its proper divisors (31763496150085).

121122165251003 is a wasteful number, since it uses less digits than its factorization.

121122165251003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556712.

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 121122165251003 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred sixty-five million, two hundred fifty-one thousand, three".

Divisors: 1 7 17 43 67 119 227 301 469 731 1139 1589 2881 3859 5117 7973 9761 15209 20167 27013 48977 68327 106463 165937 258553 342839 653987 1161559 1556351 1809871 4577909 10894457 11117779 26457967 66923093 77824453 104275517 185205769 353291677 468461651 729928619 1137692581 1772683789 2473041739 4483847231 6005958509 7963848067 12408786523 15191542111 23670542359 31386930617 42041709563 76225402927 106340794777 165693796513 258256215887 402399220103 533577820489 1017833321437 1807793511209 2816794540721 7124833250059 17303166464429 121122165251003