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20122133122102 = 2116764321230761
BaseRepresentation
bin1001001001101000011001…
…00110001100110000110110
32122020122202001110221120111
410210310030212030300312
510114140112034401402
6110443551430453234
74144530134312104
oct444641446146066
978218661427514
1020122133122102
116458826623390
12230b97980421a
13b2c6803b501b
144d7cb89d2c74
1524d6522479d7
hex124d0c98cc36

20122133122102 has 32 divisors (see below), whose sum is σ = 33470551062144. Its totient is φ = 8995897627200.

The previous prime is 20122133122079. The next prime is 20122133122153.

20122133122102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9667599 + ... + 11563162.

It is an arithmetic number, because the mean of its divisors is an integer number (1045954720692).

Almost surely, 220122133122102 is an apocalyptic number.

20122133122102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20122133122102 is a deficient number, since it is larger than the sum of its proper divisors (13348417940042).

20122133122102 is a wasteful number, since it uses less digits than its factorization.

20122133122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21231484.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 2012213 and 3122102, that added together give a palindrome (5134315).

The spelling of 20122133122102 in words is "twenty trillion, one hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 11 22 67 134 643 737 1286 1474 7073 14146 43081 86162 473891 947782 21230761 42461522 233538371 467076742 1422460987 2844921974 13651379323 15647070857 27302758646 31294141714 150165172553 300330345106 914642414641 1829284829282 10061066561051 20122133122102