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11201021000 = 235313861617
BaseRepresentation
bin10100110111010001…
…00000010001001000
31001220121200211012122
422123220200101020
5140414430133000
65051244430412
7544400051621
oct123350402110
931817624178
1011201021000
114828758954
122207248408
13109677b5a0
1478387aa48
1545854b085
hex29ba20448

11201021000 has 64 divisors (see below), whose sum is σ = 28226605680. Its totient is φ = 4135756800.

The previous prime is 11201020969. The next prime is 11201021003. The reversal of 11201021000 is 12010211.

It can be written as a sum of positive squares in 8 ways, for example, as 4418404 + 11196602596 = 2102^2 + 105814^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11201021003) 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, 417809 + ... + 443808.

Almost surely, 211201021000 is an apocalyptic number.

11201021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201021000 is an abundant number, since it is smaller than the sum of its proper divisors (17025584680).

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

11201021000 is a wasteful number, since it uses less digits than its factorization.

11201021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861651 (or 861637 counting only the distinct ones).

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

Adding to 11201021000 its reverse (12010211), we get a palindrome (11213031211).

The spelling of 11201021000 in words is "eleven billion, two hundred one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 861617 1723234 3446468 4308085 6892936 8616170 11201021 17232340 21540425 22402042 34464680 43080850 44804084 56005105 86161700 89608168 107702125 112010210 172323400 215404250 224020420 280025525 430808500 448040840 560051050 861617000 1120102100 1400127625 2240204200 2800255250 5600510500 11201021000