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1101223210122 = 23279539170899
BaseRepresentation
bin10000000001100110000…
…001001010110010001010
310220021110010202021120100
4100001212001022302022
5121020301120210442
62201521151110230
7142363223561550
oct20014601126212
93807403667510
101101223210122
1139503187a952
12159511512376
137caca338049
143b429b19bd0
151d9a307384c
hex1006604ac8a

1101223210122 has 48 divisors (see below), whose sum is σ = 2729700043200. Its totient is φ = 314305016256.

The previous prime is 1101223210117. The next prime is 1101223210141. The reversal of 1101223210122 is 2210123221011.

1101223210122 is a `hidden beast` number, since 110 + 1 + 223 + 210 + 122 = 666.

It is a super-3 number, since 3×11012232101223 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1101223210095 and 1101223210104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4465372 + ... + 4705527.

It is an arithmetic number, because the mean of its divisors is an integer number (56868750900).

Almost surely, 21101223210122 is an apocalyptic number.

1101223210122 is an abundant number, since it is smaller than the sum of its proper divisors (1628476833078).

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

1101223210122 is a wasteful number, since it uses less digits than its factorization.

1101223210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9171867 (or 9171864 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1101223210122 its reverse (2210123221011), we get a palindrome (3311346431133).

The spelling of 1101223210122 in words is "one trillion, one hundred one billion, two hundred twenty-three million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 953 1906 2859 5718 6671 8577 13342 17154 20013 40026 60039 120078 9170899 18341798 27512697 55025394 64196293 82538091 128392586 165076182 192588879 385177758 577766637 1155533274 8739866747 17479733494 26219600241 52439200482 61179067229 78658800723 122358134458 157317601446 183537201687 367074403374 550611605061 1101223210122