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2001131200 = 26521773571
BaseRepresentation
bin111011101000110…
…1101011011000000
312011110110222221101
41313101231123000
513044242144300
6530323104144
7100406222515
oct16721553300
95143428841
102001131200
1193764a542
1247a212054
1325b782203
1414dab130c
15baa37b6a
hex7746d6c0

2001131200 has 84 divisors (see below), whose sum is σ = 5213753352. Its totient is φ = 753356800.

The previous prime is 2001131179. The next prime is 2001131219. The reversal of 2001131200 is 21311002.

It is a super-2 number, since 2×20011312002 = 8009052159226880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9586 + ... + 63985.

Almost surely, 22001131200 is an apocalyptic number.

2001131200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001131200 is an abundant number, since it is smaller than the sum of its proper divisors (3212622152).

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

2001131200 is a wasteful number, since it uses less digits than its factorization.

2001131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73610 (or 73595 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2001131200 is about 44734.0049626679. The cubic root of 2001131200 is about 1260.1585422405.

Adding to 2001131200 its reverse (21311002), we get a palindrome (2022442202).

The spelling of 2001131200 in words is "two billion, one million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 136 160 170 200 272 320 340 400 425 544 680 800 850 1088 1360 1600 1700 2720 3400 5440 6800 13600 27200 73571 147142 294284 367855 588568 735710 1177136 1250707 1471420 1839275 2354272 2501414 2942840 3678550 4708544 5002828 5885680 6253535 7357100 10005656 11771360 12507070 14714200 20011312 23542720 25014140 29428400 31267675 40022624 50028280 58856800 62535350 80045248 100056560 117713600 125070700 200113120 250141400 400226240 500282800 1000565600 2001131200