Search a number
-
+
13215246000 = 2435311200231
BaseRepresentation
bin11000100111011000…
…01010011010110000
31021002222211001110120
430103230022122300
5204031100333000
610023200330240
7645325510665
oct142354123260
937088731416
1013215246000
115671730a10
122689913980
131327b665b8
148d5199a6c
155252bd6a0
hex313b0a6b0

13215246000 has 160 divisors (see below), whose sum is σ = 46479453696. Its totient is φ = 3203680000.

The previous prime is 13215245983. The next prime is 13215246013. The reversal of 13215246000 is 64251231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34116 + ... + 166115.

Almost surely, 213215246000 is an apocalyptic number.

13215246000 is a gapful number since it is divisible by the number (10) 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 13215246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23239726848).

13215246000 is an abundant number, since it is smaller than the sum of its proper divisors (33264207696).

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

13215246000 is a wasteful number, since it uses less digits than its factorization.

13215246000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200268 (or 200252 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13215246000 its reverse (64251231), we get a palindrome (13279497231).

The spelling of 13215246000 in words is "thirteen billion, two hundred fifteen million, two hundred forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 200231 400462 600693 800924 1001155 1201386 1601848 2002310 2202541 2402772 3003465 3203696 4004620 4405082 4805544 5005775 6006930 6607623 8009240 8810164 9611088 10011550 11012705 12013860 13215246 15017325 16018480 17620328 20023100 22025410 24027720 25028875 26430492 30034650 33038115 35240656 40046200 44050820 48055440 50057750 52860984 55063525 60069300 66076230 75086625 80092400 88101640 100115500 105721968 110127050 120138600 132152460 150173250 165190575 176203280 200231000 220254100 240277200 264304920 275317625 300346500 330381150 400462000 440508200 528609840 550635250 600693000 660762300 825952875 881016400 1101270500 1201386000 1321524600 1651905750 2202541000 2643049200 3303811500 4405082000 6607623000 13215246000