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142222432121 = 71123136714759
BaseRepresentation
bin1000010001110100011…
…1100001011101111001
3111121002201121010110222
42010131013201131321
54312232420311441
6145200332145425
713163255504150
oct2043507413571
9447081533428
10142222432121
1155352945300
1223692008275
1310547148aa3
146c52868597
153a75dbed4b
hex211d1e1779

142222432121 has 48 divisors (see below), whose sum is σ = 184937840640. Its totient is φ = 106948274400.

The previous prime is 142222432117. The next prime is 142222432147. The reversal of 142222432121 is 121234222241.

It is a happy number.

142222432121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142222432121 - 22 = 142222432117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142222432181) 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 47 ways as a sum of consecutive naturals, for example, 9628940 + ... + 9643698.

It is an arithmetic number, because the mean of its divisors is an integer number (3852871680).

Almost surely, 2142222432121 is an apocalyptic number.

142222432121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142222432121 is a deficient number, since it is larger than the sum of its proper divisors (42715408519).

142222432121 is a wasteful number, since it uses less digits than its factorization.

142222432121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15186 (or 15175 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 142222432121 its reverse (121234222241), we get a palindrome (263456654362).

The spelling of 142222432121 in words is "one hundred forty-two billion, two hundred twenty-two million, four hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 31 77 121 217 341 367 847 2387 2569 3751 4037 11377 14759 26257 28259 44407 79639 103313 125147 162349 310849 457529 876029 1136443 1376617 1785839 3202703 5032819 5416553 9636319 12500873 35229733 37915871 55361009 59582083 167913143 387527063 417074581 655402913 1175392001 1847044573 4587820391 12929312011 20317490303 142222432121