Search a number
-
+
102122220100002 = 2361927496558993
BaseRepresentation
bin10111001110000100101110…
…101001110001100110100010
3111101120210022002211202102020
4113032010232221301212202
5101341132301321200002
61001110144504402310
730340041546305424
oct2716045651614642
9441523262752366
10102122220100002
112a5a2876a20073
12b553b78a76396
1344ca112812acb
141b30a557d8814
15bc16775e02bc
hex5ce12ea719a2

102122220100002 has 16 divisors (see below), whose sum is σ = 204574398915360. Its totient is φ = 33985746914112.

The previous prime is 102122220099967. The next prime is 102122220100013. The reversal of 102122220100002 is 200001022221201.

102122220100002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13748275783 + ... + 13748283210.

It is an arithmetic number, because the mean of its divisors is an integer number (12785899932210).

Almost surely, 2102122220100002 is an apocalyptic number.

102122220100002 is an abundant number, since it is smaller than the sum of its proper divisors (102452178815358).

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

102122220100002 is a wasteful number, since it uses less digits than its factorization.

102122220100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27496559617.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102122220100002 its reverse (200001022221201), we get a palindrome (302123242321203).

The spelling of 102122220100002 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twenty million, one hundred thousand, two".

Divisors: 1 2 3 6 619 1238 1857 3714 27496558993 54993117986 82489676979 164979353958 17020370016667 34040740033334 51061110050001 102122220100002