Search a number
-
+
32233013133120 = 2632511192018449
BaseRepresentation
bin1110101010000110101010…
…10011000011111101000000
311020010110001002212012220200
413111003111103003331000
513211101202330224440
6152315350344205200
76534521054011632
oct725032523037500
9136113032765820
1032233013133120
11a2a7a42667628
123746b82a69800
1314ca7386b9a87
147d612c5caa52
153ad6c463ec30
hex1d50d54c3f40

32233013133120 has 84 divisors (see below), whose sum is σ = 110868134765700. Its totient is φ = 8595470168064.

The previous prime is 32233013133089. The next prime is 32233013133131. The reversal of 32233013133120 is 2133131033223.

32233013133120 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 30 + 1 + 313 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15276340982016 + 16956672151104 = 3908496^2 + 4117848^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5596006345 + ... + 5596012104.

Almost surely, 232233013133120 is an apocalyptic number.

32233013133120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32233013133120 is an abundant number, since it is smaller than the sum of its proper divisors (78635121632580).

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

32233013133120 is a wasteful number, since it uses less digits than its factorization.

32233013133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11192018472 (or 11192018459 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 32233013133120 its reverse (2133131033223), we get a palindrome (34366144166343).

The spelling of 32233013133120 in words is "thirty-two trillion, two hundred thirty-three billion, thirteen million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 11192018449 22384036898 33576055347 44768073796 55960092245 67152110694 89536147592 100728166041 111920184490 134304221388 167880276735 179072295184 201456332082 223840368980 268608442776 335760553470 358144590368 402912664164 447680737960 503640830205 537216885552 671521106940 716289180736 805825328328 895361475920 1007281660410 1074433771104 1343042213880 1611650656656 1790722951840 2014563320820 2148867542208 2686084427760 3223301313312 3581445903680 4029126641640 5372168855520 6446602626624 8058253283280 10744337711040 16116506566560 32233013133120