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1141200210 = 235317571621
BaseRepresentation
bin100010000000101…
…0101010101010010
32221112100222101110
41010001111111102
54314121401320
6305123514150
740165020213
oct10401252522
92845328343
101141200210
115361a5677
1227a228956
131525778c7
14ab7c540a
156a2c35e0
hex44055552

1141200210 has 64 divisors (see below), whose sum is σ = 2832712704. Its totient is φ = 293932800.

The previous prime is 1141200169. The next prime is 1141200217. The reversal of 1141200210 is 120021411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1141200217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703200 + ... + 704820.

It is an arithmetic number, because the mean of its divisors is an integer number (44261136).

Almost surely, 21141200210 is an apocalyptic number.

1141200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416356352).

1141200210 is an abundant number, since it is smaller than the sum of its proper divisors (1691512494).

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

1141200210 is a wasteful number, since it uses less digits than its factorization.

1141200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1141200210 is about 33781.6549328182. The cubic root of 1141200210 is about 1045.0104041149.

Adding to 1141200210 its reverse (120021411), we get a palindrome (1261221621).

The spelling of 1141200210 in words is "one billion, one hundred forty-one million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 757 930 1514 1621 2271 3242 3785 4542 4863 7570 8105 9726 11355 16210 22710 23467 24315 46934 48630 50251 70401 100502 117335 140802 150753 234670 251255 301506 352005 502510 704010 753765 1227097 1507530 2454194 3681291 6135485 7362582 12270970 18406455 36812910 38040007 76080014 114120021 190200035 228240042 380400070 570600105 1141200210