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1011121102020 = 2235101577289171
BaseRepresentation
bin11101011011010111000…
…00111001110011000100
310120122212202201221110110
432231223200321303010
5113031234000231040
62052300322153020
7133023344363001
oct16555340716304
93518782657413
101011121102020
1135a8a55584a7
12143b664b2770
137446b314893
1436d1d43c8a8
151b47cc77980
hexeb6b839cc4

1011121102020 has 96 divisors (see below), whose sum is σ = 2864135304576. Its totient is φ = 266499072000.

The previous prime is 1011121102001. The next prime is 1011121102027. The reversal of 1011121102020 is 202011211101.

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 = 1011121101987 and 1011121102005.

It is not an unprimeable number, because it can be changed into a prime (1011121102027) 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, 3352035 + ... + 3641205.

It is an arithmetic number, because the mean of its divisors is an integer number (29834742756).

Almost surely, 21011121102020 is an apocalyptic number.

1011121102020 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 1011121102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432067652288).

1011121102020 is an abundant number, since it is smaller than the sum of its proper divisors (1853014202556).

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

1011121102020 is a wasteful number, since it uses less digits than its factorization.

1011121102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289861 (or 289859 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011121102020 its reverse (202011211101), we get a palindrome (1213132313121).

The spelling of 1011121102020 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 577 606 1010 1154 1212 1515 1731 2020 2308 2885 3030 3462 5770 6060 6924 8655 11540 17310 34620 58277 116554 174831 233108 289171 291385 349662 578342 582770 699324 867513 874155 1156684 1165540 1445855 1735026 1748310 2891710 3470052 3496620 4337565 5783420 8675130 17350260 29206271 58412542 87618813 116825084 146031355 166851667 175237626 292062710 333703334 350475252 438094065 500555001 584125420 667406668 834258335 876188130 1001110002 1668516670 1752376260 2002220004 2502775005 3337033340 5005550010 10011100020 16852018367 33704036734 50556055101 67408073468 84260091835 101112110202 168520183670 202224220404 252780275505 337040367340 505560551010 1011121102020