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1022011012020 = 223525167862617
BaseRepresentation
bin11101101111101001001…
…10100111001110110100
310121200222201000200121110
432313310212213032310
5113221034304341040
62101301054515020
7133560246160515
oct16676446471664
93550881020543
101022011012020
11364483633019
121460a5505a70
13754b54a4bcb
1437673852a0c
151b8b8d1c980
hexedf49a73b4

1022011012020 has 48 divisors (see below), whose sum is σ = 2873031795648. Its totient is φ = 271450464000.

The previous prime is 1022011012019. The next prime is 1022011012027. The reversal of 1022011012020 is 202101102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1022011011987 and 1022011012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022011012027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33916249 + ... + 33946368.

It is an arithmetic number, because the mean of its divisors is an integer number (59854829076).

Almost surely, 21022011012020 is an apocalyptic number.

1022011012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022011012020 is an abundant number, since it is smaller than the sum of its proper divisors (1851020783628).

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

1022011012020 is a wasteful number, since it uses less digits than its factorization.

1022011012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67862880 (or 67862878 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022011012020 its reverse (202101102201), we get a palindrome (1224112114221).

The spelling of 1022011012020 in words is "one trillion, twenty-two billion, eleven million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 251 502 753 1004 1255 1506 2510 3012 3765 5020 7530 15060 67862617 135725234 203587851 271450468 339313085 407175702 678626170 814351404 1017939255 1357252340 2035878510 4071757020 17033516867 34067033734 51100550601 68134067468 85167584335 102201101202 170335168670 204402202404 255502753005 340670337340 511005506010 1022011012020