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102201111111012 = 223192319489151623
BaseRepresentation
bin10111001111001110001100…
…111011000110010101100100
3111101212022221011012100111220
4113033032030323012111210
5101343430333421023022
61001210313044500340
730345533543655114
oct2717161473062544
9441768834170456
10102201111111012
112a62327a932321
12b5673153aa6b0
1345046a5c6a604
141b347bb175044
15bc374354e85c
hex5cf38cec6564

102201111111012 has 48 divisors (see below), whose sum is σ = 261934197826560. Its totient is φ = 30870816169248.

The previous prime is 102201111110981. The next prime is 102201111111149. The reversal of 102201111111012 is 210111111102201.

It is a super-2 number, since 2×1022011111110122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102201111110982 and 102201111111000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9744570568 + ... + 9744581055.

It is an arithmetic number, because the mean of its divisors is an integer number (5456962454720).

Almost surely, 2102201111111012 is an apocalyptic number.

102201111111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102201111111012 is an abundant number, since it is smaller than the sum of its proper divisors (159733086715548).

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

102201111111012 is a wasteful number, since it uses less digits than its factorization.

102201111111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19489151672 (or 19489151670 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 102201111111012 its reverse (210111111102201), we get a palindrome (312312222213213).

It can be divided in two parts, 10 and 2201111111012, that added together give a palindrome (2201111111022).

The spelling of 102201111111012 in words is "one hundred two trillion, two hundred one billion, one hundred eleven million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 5244 19489151623 38978303246 58467454869 77956606492 116934909738 233869819476 370293880837 448250487329 740587761674 896500974658 1110881642511 1344751461987 1481175523348 1793001949316 2221763285022 2689502923974 4443526570044 5379005847948 8516759259251 17033518518502 25550277777753 34067037037004 51100555555506 102201111111012