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1022020301120 = 26571363155621
BaseRepresentation
bin11101101111101010010…
…10000011000101000000
310121201000100111121212012
432313311022003011000
5113221044144113440
62101302025552052
7133560421136450
oct16676512030500
93551010447765
101022020301120
113644888a8065
121460a8645628
13754b73a8010
1437674b8dd60
151b8b9a54e65
hexedf5283140

1022020301120 has 224 divisors, whose sum is σ = 3000106507776. Its totient is φ = 322934169600.

The previous prime is 1022020301101. The next prime is 1022020301129. The reversal of 1022020301120 is 211030202201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1022020301095 and 1022020301104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022020301129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18346910 + ... + 18402530.

It is an arithmetic number, because the mean of its divisors is an integer number (13393332624).

Almost surely, 21022020301120 is an apocalyptic number.

1022020301120 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 1022020301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500053253888).

1022020301120 is an abundant number, since it is smaller than the sum of its proper divisors (1978086206656).

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

1022020301120 is a wasteful number, since it uses less digits than its factorization.

1022020301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56289 (or 56279 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1022020301120 its reverse (211030202201), we get a palindrome (1233050503321).

The spelling of 1022020301120 in words is "one trillion, twenty-two billion, twenty million, three hundred one thousand, one hundred twenty".