Search a number
-
+
33131233300 = 225211791632339
BaseRepresentation
bin11110110110110001…
…101000000000010100
310011111222021000221211
4132312301220000110
51020323043431200
623115325151204
72252010556624
oct366661500024
9104458230854
1033131233300
1113061798a50
1265076bb504
133180007579
141864252884
15cdd991aba
hex7b6c68014

33131233300 has 144 divisors (see below), whose sum is σ = 79944883200. Its totient is φ = 11817187200.

The previous prime is 33131233297. The next prime is 33131233327. The reversal of 33131233300 is 333213133.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14163531 + ... + 14165869.

It is an arithmetic number, because the mean of its divisors is an integer number (555172800).

Almost surely, 233131233300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33131233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39972441600).

33131233300 is an abundant number, since it is smaller than the sum of its proper divisors (46813649900).

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

33131233300 is a wasteful number, since it uses less digits than its factorization.

33131233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 33131233300 its reverse (333213133), we get a palindrome (33464446433).

The spelling of 33131233300 in words is "thirty-three billion, one hundred thirty-one million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 163 220 275 316 326 395 550 652 790 815 869 1100 1580 1630 1738 1793 1975 2339 3260 3476 3586 3950 4075 4345 4678 7172 7900 8150 8690 8965 9356 11695 12877 16300 17380 17930 21725 23390 25729 25754 35860 43450 44825 46780 51458 51508 58475 64385 86900 89650 102916 116950 128645 128770 141647 179300 184781 233900 257290 257540 283294 321925 369562 381257 514580 566588 643225 643850 708235 739124 762514 923905 1286450 1287700 1416470 1525028 1847810 1906285 2032591 2572900 2832940 3541175 3695620 3812570 4065182 4193827 4619525 7082350 7625140 8130364 8387654 9239050 9531425 10162955 14164700 16775308 18478100 19062850 20325910 20969135 30119303 38125700 40651820 41938270 50814775 60238606 83876540 101629550 104845675 120477212 150596515 203259100 209691350 301193030 331312333 419382700 602386060 662624666 752982575 1325249332 1505965150 1656561665 3011930300 3313123330 6626246660 8282808325 16565616650 33131233300