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20220002002002 = 2311257748269051
BaseRepresentation
bin1001001100011110101100…
…00010010110010001010010
32122121000100201001011122010
410212033112002112101102
510122241031003031002
6111000535104323350
74154563333131345
oct446172602262122
978530321034563
1020220002002002
116496288aa5400
122326931913556
13b3897952bb4a
144dc9209c645c
15250e7e31e46c
hex1263d6096452

20220002002002 has 48 divisors (see below), whose sum is σ = 44527621241376. Its totient is φ = 6116654016000.

The previous prime is 20220002001931. The next prime is 20220002002037. The reversal of 20220002002002 is 20020020002202.

20220002002002 is a modest number, since divided by 2002002 gives 20220 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23715624 + ... + 24553427.

It is an arithmetic number, because the mean of its divisors is an integer number (927658775862).

Almost surely, 220220002002002 is an apocalyptic number.

20220002002002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20220002002002 is an abundant number, since it is smaller than the sum of its proper divisors (24307619239374).

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

20220002002002 is a wasteful number, since it uses less digits than its factorization.

20220002002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48269655 (or 48269644 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20220002002002 its reverse (20020020002202), we get a palindrome (40240022004204).

It can be divided in two parts, 2022000200 and 2002, that added together give a palindrome (2022002202).

The spelling of 20220002002002 in words is "twenty trillion, two hundred twenty billion, two million, two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 577 726 1154 1731 3462 6347 12694 19041 38082 69817 139634 209451 418902 48269051 96538102 144807153 289614306 530959561 1061919122 1592878683 3185757366 5840555171 11681110342 17521665513 27851242427 35043331026 55702484854 83553727281 167107454562 306363666697 612727333394 919091000091 1838182000182 3370000333667 6740000667334 10110001001001 20220002002002