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122230101001 = 2981112974007
BaseRepresentation
bin111000111010101111…
…0110101010000001001
3102200111102111110221211
41301311132311100021
54000311401213001
6132052435133121
711554655500411
oct1616536652011
9380442443854
10122230101001
1147923783aa8
121b8327441a1
13b6ac227968
145cb75bb641
1532a5b6b351
hex1c757b5409

122230101001 has 16 divisors (see below), whose sum is σ = 126730074240. Its totient is φ = 117749479680.

The previous prime is 122230100999. The next prime is 122230101023. The reversal of 122230101001 is 100101032221.

It is a cyclic number.

It is not a de Polignac number, because 122230101001 - 21 = 122230100999 is a prime.

It is a super-2 number, since 2×1222301010012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122230101041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30502140 + ... + 30506146.

It is an arithmetic number, because the mean of its divisors is an integer number (7920629640).

Almost surely, 2122230101001 is an apocalyptic number.

It is an amenable number.

122230101001 is a deficient number, since it is larger than the sum of its proper divisors (4499973239).

122230101001 is a wasteful number, since it uses less digits than its factorization.

122230101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122230101001 its reverse (100101032221), we get a palindrome (222331133222).

The spelling of 122230101001 in words is "one hundred twenty-two billion, two hundred thirty million, one hundred one thousand, one".

Divisors: 1 29 811 1297 4007 23519 37613 116203 1051867 3249677 5197079 30504143 94240633 150715291 4214831069 122230101001