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3133021200 = 243523184221
BaseRepresentation
bin1011101010111110…
…0001110000010000
322002100022222010020
42322233201300100
522404023134300
61234515303440
7140432145411
oct27257416020
98070288106
103133021200
111368566221
127352aab80
133ac11a1ca
1421a151808
151350bc8a0
hexbabe1c10

3133021200 has 120 divisors (see below), whose sum is σ = 10359979776. Its totient is φ = 808512000.

The previous prime is 3133021187. The next prime is 3133021223. The reversal of 3133021200 is 21203313.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3133021200.

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, 4911 + ... + 79310.

Almost surely, 23133021200 is an apocalyptic number.

3133021200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179989888).

3133021200 is an abundant number, since it is smaller than the sum of its proper divisors (7226958576).

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

3133021200 is a wasteful number, since it uses less digits than its factorization.

3133021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84273 (or 84262 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3133021200 is about 55973.3972526235. The cubic root of 3133021200 is about 1463.2586873688.

Adding to 3133021200 its reverse (21203313), we get a palindrome (3154224513).

The spelling of 3133021200 in words is "three billion, one hundred thirty-three million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 150 155 186 200 240 248 300 310 372 400 465 496 600 620 744 775 930 1200 1240 1488 1550 1860 2325 2480 3100 3720 4650 6200 7440 9300 12400 18600 37200 84221 168442 252663 336884 421105 505326 673768 842210 1010652 1263315 1347536 1684420 2021304 2105525 2526630 2610851 3368840 4042608 4211050 5053260 5221702 6316575 6737680 7832553 8422100 10106520 10443404 12633150 13054255 15665106 16844200 20213040 20886808 25266300 26108510 31330212 33688400 39162765 41773616 50532600 52217020 62660424 65271275 78325530 101065200 104434040 125320848 130542550 156651060 195813825 208868080 261085100 313302120 391627650 522170200 626604240 783255300 1044340400 1566510600 3133021200