Search a number
-
+
1022211222102 = 232734723379791
BaseRepresentation
bin11101110000000001000…
…10010110101001010110
310121201111122202102012200
432320000202112221112
5113221442033101402
62101333010025330
7133565230011420
oct16700042265126
93551448672180
101022211222102
113645766498a4
12146140578246
1375517b03a05
143769228b810
151b8cb6b921c
hexee00896a56

1022211222102 has 48 divisors (see below), whose sum is σ = 2538484296192. Its totient is φ = 291218664240.

The previous prime is 1022211222101. The next prime is 1022211222121. The reversal of 1022211222102 is 2012221122201.

It is a happy number.

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 (1022211222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11646174 + ... + 11733617.

It is an arithmetic number, because the mean of its divisors is an integer number (52885089504).

Almost surely, 21022211222102 is an apocalyptic number.

1022211222102 is an abundant number, since it is smaller than the sum of its proper divisors (1516273074090).

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

1022211222102 is a wasteful number, since it uses less digits than its factorization.

1022211222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23380153 (or 23380150 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022211222102 its reverse (2012221122201), we get a palindrome (3034432344303).

Subtracting 1022211222102 from its reverse (2012221122201), we obtain a palindrome (990009900099).

The spelling of 1022211222102 in words is "one trillion, twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 347 694 1041 2082 2429 3123 4858 6246 7287 14574 21861 43722 23379791 46759582 70139373 140278746 163658537 210418119 327317074 420836238 490975611 981951222 1472926833 2945853666 8112787477 16225574954 24338362431 48676724862 56789512339 73015087293 113579024678 146030174586 170368537017 340737074034 511105611051 1022211222102