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1101022020120 = 23351110165312647
BaseRepresentation
bin10000000001011010000…
…001101100001000011000
310220020221010011202202210
4100001122001230020120
5121014343114120440
62201445202555120
7142355231520021
oct20013201541030
93806833152683
101101022020120
11394a39254920
12159476068aa0
137ca977551c9
143b40b107c48
151d990581a80
hex1005a06c218

1101022020120 has 256 divisors, whose sum is σ = 3644882426880. Its totient is φ = 263846144000.

The previous prime is 1101022020079. The next prime is 1101022020121. The reversal of 1101022020120 is 210202201011.

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 = 1101022020096 and 1101022020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101022020121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87051637 + ... + 87064283.

It is an arithmetic number, because the mean of its divisors is an integer number (14237821980).

Almost surely, 21101022020120 is an apocalyptic number.

1101022020120 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 1101022020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822441213440).

1101022020120 is an abundant number, since it is smaller than the sum of its proper divisors (2543860406760).

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

1101022020120 is a wasteful number, since it uses less digits than its factorization.

1101022020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13426 (or 13422 counting only the distinct ones).

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

Adding to 1101022020120 its reverse (210202201011), we get a palindrome (1311224221131).

The spelling of 1101022020120 in words is "one trillion, one hundred one billion, twenty-two million, twenty thousand, one hundred twenty".