Search a number
-
+
33132300000 = 25355110441
BaseRepresentation
bin11110110110110101…
…101100011011100000
310011112001021020012020
4132312311230123200
51020323332100000
623115404101440
72252022621552
oct366665543340
9104461236166
1033132300000
1113062357418
126507b34880
1331802bbc57
14186444d4d2
15cddb02ba0
hex7b6d6c6e0

33132300000 has 144 divisors (see below), whose sum is σ = 108709385904. Its totient is φ = 8835200000.

The previous prime is 33132299989. The next prime is 33132300011. The reversal of 33132300000 is 323133.

It is an interprime number because it is at equal distance from previous prime (33132299989) and next prime (33132300011).

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

It is a congruent number.

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, 244780 + ... + 355220.

It is an arithmetic number, because the mean of its divisors is an integer number (754926291).

Almost surely, 233132300000 is an apocalyptic number.

33132300000 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 33132300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54354692952).

33132300000 is an abundant number, since it is smaller than the sum of its proper divisors (75577085904).

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

33132300000 is an equidigital number, since it uses as much as digits as its factorization.

33132300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110479 (or 110451 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 33132300000 its reverse (323133), we get a palindrome (33132623133).

The spelling of 33132300000 in words is "thirty-three billion, one hundred thirty-two million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 110441 150000 220882 300000 331323 441764 552205 662646 883528 1104410 1325292 1656615 1767056 2208820 2650584 2761025 3313230 3534112 4417640 5301168 5522050 6626460 8283075 8835280 10602336 11044100 13252920 13805125 16566150 17670560 22088200 26505840 27610250 33132300 41415375 44176400 53011680 55220500 66264600 69025625 82830750 88352800 110441000 132529200 138051250 165661500 207076875 220882000 265058400 276102500 331323000 345128125 414153750 441764000 552205000 662646000 690256250 828307500 1035384375 1104410000 1325292000 1380512500 1656615000 2070768750 2208820000 2761025000 3313230000 4141537500 5522050000 6626460000 8283075000 11044100000 16566150000 33132300000