Search a number
-
+
1002032032200 = 233523303750551
BaseRepresentation
bin11101001010011011100…
…00110110100111001000
310112210102100001100121220
432211031300312213020
5112404130200012300
62044154400002040
7132252200512113
oct16451560664710
93483370040556
101002032032200
11356a60a60851
1214224a600320
1373650279b64
14366da27d57a
151b0e9d54da0
hexe94dc369c8

1002032032200 has 96 divisors (see below), whose sum is σ = 3106454775360. Its totient is φ = 267195168000.

The previous prime is 1002032032193. The next prime is 1002032032219. The reversal of 1002032032200 is 22302302001.

1002032032200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002032032200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19796925 + ... + 19847475.

It is an arithmetic number, because the mean of its divisors is an integer number (32358903910).

Almost surely, 21002032032200 is an apocalyptic number.

1002032032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002032032200 is an abundant number, since it is smaller than the sum of its proper divisors (2104422743160).

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

1002032032200 is a wasteful number, since it uses less digits than its factorization.

1002032032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83607 (or 83598 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1002032032200 its reverse (22302302001), we get a palindrome (1024334334201).

The spelling of 1002032032200 in words is "one trillion, two billion, thirty-two million, thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 33037 50551 66074 99111 101102 132148 151653 165185 198222 202204 252755 264296 303306 330370 396444 404408 495555 505510 606612 660740 758265 792888 825925 991110 1011020 1213224 1263775 1321480 1516530 1651850 1982220 2022040 2477775 2527550 3033060 3303700 3791325 3964440 4955550 5055100 6066120 6607400 7582650 9911100 10110200 15165300 19822200 30330600 1670053387 3340106774 5010160161 6680213548 8350266935 10020320322 13360427096 16700533870 20040640644 25050800805 33401067740 40081281288 41751334675 50101601610 66802135480 83502669350 100203203220 125254004025 167005338700 200406406440 250508008050 334010677400 501016016100 1002032032200