Search a number
-
+
33230333031000 = 2335371582396811
BaseRepresentation
bin1111000111001000010100…
…01100100011001001011000
311100122210022001012100110020
413203210022030203021120
513323421210223443000
6154401445414550440
76666545426200110
oct743441214431130
9140583261170406
1033230333031000
11a6519a5757096
123888317368420
1315707b7647971
1482c4dcb00040
153c95e5951ba0
hex1e390a323258

33230333031000 has 128 divisors (see below), whose sum is σ = 118489873282560. Its totient is φ = 7595504688000.

The previous prime is 33230333030941. The next prime is 33230333031001. The reversal of 33230333031000 is 13033303233.

It is a happy number.

It is a super-2 number, since 2×332303330310002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33230333031001) 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 31 ways as a sum of consecutive naturals, for example, 791177406 + ... + 791219405.

It is an arithmetic number, because the mean of its divisors is an integer number (925702135020).

Almost surely, 233230333031000 is an apocalyptic number.

33230333031000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33230333031000 is an abundant number, since it is smaller than the sum of its proper divisors (85259540251560).

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

33230333031000 is a wasteful number, since it uses less digits than its factorization.

33230333031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582396842 (or 1582396828 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 33230333031000 its reverse (13033303233), we get a palindrome (33243366334233).

The spelling of 33230333031000 in words is "thirty-three trillion, two hundred thirty billion, three hundred thirty-three million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 1582396811 3164793622 4747190433 6329587244 7911984055 9494380866 11076777677 12659174488 15823968110 18988761732 22153555354 23735952165 31647936220 33230333031 37977523464 39559920275 44307110708 47471904330 55383888385 63295872440 66460666062 79119840550 88614221416 94943808660 110767776770 118679760825 132921332124 158239681100 166151665155 189887617320 197799601375 221535553540 237359521650 265842664248 276919441925 316479362200 332303330310 395599202750 443071107080 474719043300 553838883850 593398804125 664606660620 791198405500 830758325775 949438086600 1107677767700 1186797608250 1329213321240 1384597209625 1582396811000 1661516651550 2215355535400 2373595216500 2769194419250 3323033303100 4153791628875 4747190433000 5538388838500 6646066606200 8307583257750 11076777677000 16615166515500 33230333031000