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1022120002020 = 2235131910126761
BaseRepresentation
bin11101101111110110001…
…10011000000111100100
310121201021022002221210010
432313323012120013210
5113221300210031040
62101315550530220
7133563041444565
oct16677306300744
93551238087703
101022120002020
1136452a1048a7
12146115b06970
1375501c45630
143768410416c
151b8c369ae80
hexedfb1981e4

1022120002020 has 288 divisors, whose sum is σ = 3277224397440. Its totient is φ = 235961856000.

The previous prime is 1022120001989. The next prime is 1022120002031. The reversal of 1022120002020 is 202000212201.

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 = 1022120001987 and 1022120002005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151175440 + ... + 151182200.

It is an arithmetic number, because the mean of its divisors is an integer number (11379251380).

Almost surely, 21022120002020 is an apocalyptic number.

1022120002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022120002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638612198720).

1022120002020 is an abundant number, since it is smaller than the sum of its proper divisors (2255104395420).

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

1022120002020 is a wasteful number, since it uses less digits than its factorization.

1022120002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022120002020 its reverse (202000212201), we get a palindrome (1224120214221).

The spelling of 1022120002020 in words is "one trillion, twenty-two billion, one hundred twenty million, two thousand, twenty".