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10111002020 = 225733074801
BaseRepresentation
bin10010110101010100…
…11010010110100100
3222002122122010021022
421122222122112210
5131201404031040
64351145510312
7505363046000
oct113252322644
928078563238
1010111002020
114319440519
121b621a2398
13c519b3942
146bcbb9700
153e29d76b5
hex25aa9a5a4

10111002020 has 96 divisors (see below), whose sum is σ = 24847468800. Its totient is φ = 3454617600.

The previous prime is 10111002001. The next prime is 10111002029. The reversal of 10111002020 is 2020011101.

It is a junction number, because it is equal to n+sod(n) for n = 10111001989 and 10111002007.

It is not an unprimeable number, because it can be changed into a prime (10111002029) 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, 2103620 + ... + 2108420.

It is an arithmetic number, because the mean of its divisors is an integer number (258827800).

Almost surely, 210111002020 is an apocalyptic number.

10111002020 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 10111002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12423734400).

10111002020 is an abundant number, since it is smaller than the sum of its proper divisors (14736466780).

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

10111002020 is a wasteful number, since it uses less digits than its factorization.

10111002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10111002020 its reverse (2020011101), we get a palindrome (12131013121).

The spelling of 10111002020 in words is "ten billion, one hundred eleven million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 307 343 490 614 686 980 1228 1372 1535 1715 2149 3070 3430 4298 4801 6140 6860 8596 9602 10745 15043 19204 21490 24005 30086 33607 42980 48010 60172 67214 75215 96020 105301 134428 150430 168035 210602 235249 300860 336070 421204 470498 526505 672140 940996 1053010 1176245 1473907 1646743 2106020 2352490 2947814 3293486 4704980 5895628 6586972 7369535 8233715 10317349 14739070 16467430 20634698 29478140 32934860 41269396 51586745 72221443 103173490 144442886 206346980 288885772 361107215 505550101 722214430 1011100202 1444428860 2022200404 2527750505 5055501010 10111002020