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1011110020 = 225174172533
BaseRepresentation
bin111100010001000…
…101000010000100
32121110120201012021
4330101011002010
54032321010040
6244155332524
734025202424
oct7421050204
92543521167
101011110020
11479821a18
12242751144
1313162a06b
1498400484
155db7824a
hex3c445084

1011110020 has 48 divisors (see below), whose sum is σ = 2303099568. Its totient is φ = 371363840.

The previous prime is 1011110011. The next prime is 1011110021. The reversal of 1011110020 is 200111101.

It can be written as a sum of positive squares in 8 ways, for example, as 887364 + 1010222656 = 942^2 + 31784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1011109985 and 1011110012.

It is not an unprimeable number, because it can be changed into a prime (1011110021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22327 + ... + 50206.

It is an arithmetic number, because the mean of its divisors is an integer number (47981241).

Almost surely, 21011110020 is an apocalyptic number.

1011110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011110020 is an abundant number, since it is smaller than the sum of its proper divisors (1291989548).

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

1011110020 is a wasteful number, since it uses less digits than its factorization.

1011110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72600 (or 72598 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 1011110020 is about 31797.9562236317. The cubic root of 1011110020 is about 1003.6897093014.

Adding to 1011110020 its reverse (200111101), we get a palindrome (1211221121).

The spelling of 1011110020 in words is "one billion, eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 13940 72533 145066 290132 362665 725330 1233061 1450660 2466122 2973853 4932244 5947706 6165305 11895412 12330610 14869265 24661220 29738530 50555501 59477060 101111002 202222004 252777505 505555010 1011110020