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13241933000 = 235327494817
BaseRepresentation
bin11000101010100011…
…11101110011001000
31021011212000220010222
430111101331303020
5204104413324000
610025552325212
7646101400442
oct142521756310
937155026128
1013241933000
1156857a928a
122696843808
13133054b61a
148d8945492
155277e0a85
hex31547dcc8

13241933000 has 64 divisors (see below), whose sum is σ = 31003830000. Its totient is φ = 5293747200.

The previous prime is 13241932931. The next prime is 13241933021. The reversal of 13241933000 is 33914231.

It is a happy number.

13241933000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 982571716 + 12259361284 = 31346^2 + 110722^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2746592 + ... + 2751408.

Almost surely, 213241933000 is an apocalyptic number.

13241933000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13241933000 is an abundant number, since it is smaller than the sum of its proper divisors (17761897000).

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

13241933000 is a wasteful number, since it uses less digits than its factorization.

13241933000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 13241933000 in words is "thirteen billion, two hundred forty-one million, nine hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2749 4817 5498 9634 10996 13745 19268 21992 24085 27490 38536 48170 54980 68725 96340 109960 120425 137450 192680 240850 274900 343625 481700 549800 602125 687250 963400 1204250 1374500 2408500 2749000 4817000 13241933 26483866 52967732 66209665 105935464 132419330 264838660 331048325 529677320 662096650 1324193300 1655241625 2648386600 3310483250 6620966500 13241933000