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1011112020 = 2232535315913
BaseRepresentation
bin111100010001000…
…101100001010100
32121110120210221100
4330101011201110
54032321041040
6244155350100
734025211312
oct7421054124
92543523840
101011112020
11479823476
12242752330
1313162ac49
14984010b2
155db78b30
hex3c445854

1011112020 has 72 divisors (see below), whose sum is σ = 3075921576. Its totient is φ = 268849152.

The previous prime is 1011111991. The next prime is 1011112049. The reversal of 1011112020 is 202111101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1011111991) and next prime (1011112049).

It can be written as a sum of positive squares in 4 ways, for example, as 186158736 + 824953284 = 13644^2 + 28722^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011111993 and 1011112011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55584 + ... + 71496.

It is an arithmetic number, because the mean of its divisors is an integer number (42721133).

Almost surely, 21011112020 is an apocalyptic number.

1011112020 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 1011112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537960788).

1011112020 is an abundant number, since it is smaller than the sum of its proper divisors (2064809556).

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

1011112020 is a wasteful number, since it uses less digits than its factorization.

1011112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16281 (or 16276 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1011112020 is about 31797.9876721783. The cubic root of 1011112020 is about 1003.6903710751.

Adding to 1011112020 its reverse (202111101), we get a palindrome (1213223121).

The spelling of 1011112020 in words is "one billion, eleven million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 10590 12708 15885 15913 21180 31770 31826 47739 63540 63652 79565 95478 143217 159130 190956 238695 286434 318260 477390 572868 716085 954780 1432170 2864340 5617289 11234578 16851867 22469156 28086445 33703734 50555601 56172890 67407468 84259335 101111202 112345780 168518670 202222404 252778005 337037340 505556010 1011112020