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1011021112020 = 22351011391200253
BaseRepresentation
bin11101011011001011000…
…11011110001011010100
310120122121210120220222010
432231211203132023110
5113031032401041040
62052242351104220
7133021021441653
oct16554543361324
93518553526863
101011021112020
1135a854073537
12143b38b12070
13744536a57ba
1436d1005119a
151b4740c5e80
hexeb658de2d4

1011021112020 has 96 divisors (see below), whose sum is σ = 2879457356160. Its totient is φ = 265015641600.

The previous prime is 1011021112007. The next prime is 1011021112027. The reversal of 1011021112020 is 202111201101.

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 = 1011021111987 and 1011021112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011021112027) 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, 242214 + ... + 1442466.

It is an arithmetic number, because the mean of its divisors is an integer number (29994347460).

Almost surely, 21011021112020 is an apocalyptic number.

1011021112020 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 1011021112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439728678080).

1011021112020 is an abundant number, since it is smaller than the sum of its proper divisors (1868436244140).

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

1011021112020 is a wasteful number, since it uses less digits than its factorization.

1011021112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200505 (or 1200503 counting only the distinct ones).

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

Adding to 1011021112020 its reverse (202111201101), we get a palindrome (1213132313121).

The spelling of 1011021112020 in words is "one trillion, eleven billion, twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 139 202 278 303 404 417 505 556 606 695 834 1010 1212 1390 1515 1668 2020 2085 2780 3030 4170 6060 8340 14039 28078 42117 56156 70195 84234 140390 168468 210585 280780 421170 842340 1200253 2400506 3600759 4801012 6001265 7201518 12002530 14403036 18003795 24005060 36007590 72015180 121225553 166835167 242451106 333670334 363676659 484902212 500505501 606127765 667340668 727353318 834175835 1001011002 1212255530 1454706636 1668351670 1818383295 2002022004 2424511060 2502527505 3336703340 3636766590 5005055010 7273533180 10010110020 16850351867 33700703734 50551055601 67401407468 84251759335 101102111202 168503518670 202204222404 252755278005 337007037340 505510556010 1011021112020