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1002232133200 = 245212719728979
BaseRepresentation
bin11101001010110011011…
…00001011011001010000
310112210221021120112121001
432211121230023121100
5112410032411230300
62044230304511344
7132260150400004
oct16453154133120
93483837515531
101002232133200
11357053a02681
121422a561b554
137368286b10c
1436718a8a704
151b10c6ce16a
hexe959b0b650

1002232133200 has 60 divisors (see below), whose sum is σ = 2426822371840. Its totient is φ = 397736196480.

The previous prime is 1002232133159. The next prime is 1002232133207. The reversal of 1002232133200 is 23312322001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002232133207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9813690 + ... + 9915289.

Almost surely, 21002232133200 is an apocalyptic number.

1002232133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002232133200 is an abundant number, since it is smaller than the sum of its proper divisors (1424590238640).

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

1002232133200 is a wasteful number, since it uses less digits than its factorization.

1002232133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19729124 (or 19729113 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1002232133200 its reverse (23312322001), we get a palindrome (1025544455201).

The spelling of 1002232133200 in words is "one trillion, two billion, two hundred thirty-two million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 200 254 400 508 635 1016 1270 2032 2540 3175 5080 6350 10160 12700 25400 50800 19728979 39457958 78915916 98644895 157831832 197289790 315663664 394579580 493224475 789159160 986448950 1578318320 1972897900 2505580333 3945795800 5011160666 7891591600 10022321332 12527901665 20044642664 25055803330 40089285328 50111606660 62639508325 100223213320 125279016650 200446426640 250558033300 501116066600 1002232133200