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1022111022132 = 223228391972837
BaseRepresentation
bin11101101111110101001…
…00000111110000110100
310121201020200012201200200
432313322210013300310
5113221240410202012
62101315030240500
7133562602224264
oct16677244076064
93551220181620
101022111022132
11364525031102
12146112ab6130
13755001201a5
1437682c477a4
151b8c29c53dc
hexedfa907c34

1022111022132 has 18 divisors (see below), whose sum is σ = 2583669528258. Its totient is φ = 340703674032.

The previous prime is 1022111022089. The next prime is 1022111022133. The reversal of 1022111022132 is 2312201112201.

It can be written as a sum of positive squares in only one way, i.e., 1018072928016 + 4038094116 = 1008996^2 + 63546^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022111022133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14195986383 + ... + 14195986454.

Almost surely, 21022111022132 is an apocalyptic number.

1022111022132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022111022132 is an abundant number, since it is smaller than the sum of its proper divisors (1561558506126).

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

1022111022132 is a wasteful number, since it uses less digits than its factorization.

1022111022132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28391972847 (or 28391972842 counting only the distinct ones).

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

Adding to 1022111022132 its reverse (2312201112201), we get a palindrome (3334312134333).

The spelling of 1022111022132 in words is "one trillion, twenty-two billion, one hundred eleven million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 28391972837 56783945674 85175918511 113567891348 170351837022 255527755533 340703674044 511055511066 1022111022132