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1001220020200 = 23526714174561
BaseRepresentation
bin11101001000111010101…
…11010001011111101000
310112201022202002212120101
432210131113101133220
5112400444311121300
62043542031435144
7132223110516151
oct16443527213750
93481282085511
101001220020200
11356684666154
12142062685ab4
1373550c7c69a
14366604a8928
151b09d908b6a
hexe91d5d17e8

1001220020200 has 48 divisors (see below), whose sum is σ = 2327902438860. Its totient is φ = 400476672000.

The previous prime is 1001220020189. The next prime is 1001220020201. The reversal of 1001220020200 is 20200221001.

It can be written as a sum of positive squares in 6 ways, for example, as 609551824644 + 391668195556 = 780738^2 + 625834^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1001220020201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13390920 + ... + 13465480.

Almost surely, 21001220020200 is an apocalyptic number.

1001220020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001220020200 is an abundant number, since it is smaller than the sum of its proper divisors (1326682418660).

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

1001220020200 is a wasteful number, since it uses less digits than its factorization.

1001220020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141718 (or 141709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1001220020200 its reverse (20200221001), we get a palindrome (1021420241201).

The spelling of 1001220020200 in words is "one trillion, one billion, two hundred twenty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 67141 74561 134282 149122 268564 298244 335705 372805 537128 596488 671410 745610 1342820 1491220 1678525 1864025 2685640 2982440 3357050 3728050 6714100 7456100 13428200 14912200 5006100101 10012200202 20024400404 25030500505 40048800808 50061001010 100122002020 125152502525 200244004040 250305005050 500610010100 1001220020200