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1020130200 = 23345262971
BaseRepresentation
bin111100110011011…
…111001110011000
32122002112222120000
4330303133032120
54042123131300
6245120533000
734164651345
oct7463371630
92562488500
101020130200
11483922a11
12245781160
1313346794b
14996ab7cc
155e85ac00
hex3ccdf398

1020130200 has 120 divisors (see below), whose sum is σ = 3543119580. Its totient is φ = 272030400.

The previous prime is 1020130183. The next prime is 1020130207. The reversal of 1020130200 is 20310201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020130207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15286 + ... + 47685.

Almost surely, 21020130200 is an apocalyptic number.

1020130200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020130200 is an abundant number, since it is smaller than the sum of its proper divisors (2522989380).

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

1020130200 is a wasteful number, since it uses less digits than its factorization.

1020130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62999 (or 62981 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1020130200 is about 31939.4771403666. The cubic root of 1020130200 is about 1006.6655385472.

Adding to 1020130200 its reverse (20310201), we get a palindrome (1040440401).

It can be divided in two parts, 10201 and 30200, that added together give a square (40401 = 2012).

The spelling of 1020130200 in words is "one billion, twenty million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 62971 125942 188913 251884 314855 377826 503768 566739 629710 755652 944565 1133478 1259420 1511304 1574275 1700217 1889130 2266956 2518840 2833695 3148550 3400434 3778260 4533912 4722825 5100651 5667390 6297100 6800868 7556520 8501085 9445650 10201302 11334780 12594200 13601736 14168475 17002170 18891300 20402604 22669560 25503255 28336950 34004340 37782600 40805208 42505425 51006510 56673900 68008680 85010850 102013020 113347800 127516275 170021700 204026040 255032550 340043400 510065100 1020130200