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1022000061024 = 25351931227983
BaseRepresentation
bin11101101111100111111…
…00110101101001100000
310121200221221102022200000
432313303330311221200
5113221024003423044
62101300024100000
7133560054120435
oct16676374655140
93550857368600
101022000061024
11364478433408
121460a1904600
13754b313c527
1437672201b8c
151b8b7da7d69
hexedf3f35a60

1022000061024 has 576 divisors, whose sum is σ = 3292697640960. Its totient is φ = 310633781760.

The previous prime is 1022000060989. The next prime is 1022000061031. The reversal of 1022000061024 is 4201600002201.

1022000061024 is a `hidden beast` number, since 10 + 2 + 20 + 0 + 0 + 0 + 610 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1022000060988 and 1022000061006.

It is a congruent number.

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, 1039674037 + ... + 1039675019.

It is an arithmetic number, because the mean of its divisors is an integer number (5716488960).

Almost surely, 21022000061024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022000061024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646348820480).

1022000061024 is an abundant number, since it is smaller than the sum of its proper divisors (2270697579936).

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

1022000061024 is a wasteful number, since it uses less digits than its factorization.

1022000061024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1022000061024 its reverse (4201600002201), we get a palindrome (5223600063225).

The spelling of 1022000061024 in words is "one trillion, twenty-two billion, sixty-one thousand, twenty-four".