Search a number
-
+
13083710000 = 24541776963
BaseRepresentation
bin11000010111101100…
…11001001000110000
31020202211022022222212
430023312121020300
5203243412210000
610002141151252
7642140462054
oct141366311060
936684268885
1013083710000
11560445aa79
12265185b528
13130683094a
148c1919c64
15518989c35
hex30bd99230

13083710000 has 100 divisors (see below), whose sum is σ = 33540757272. Its totient is φ = 4925568000.

The previous prime is 13083709981. The next prime is 13083710027. The reversal of 13083710000 is 1738031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131519 + ... + 208481.

Almost surely, 213083710000 is an apocalyptic number.

13083710000 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 13083710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16770378636).

13083710000 is an abundant number, since it is smaller than the sum of its proper divisors (20457047272).

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

13083710000 is an equidigital number, since it uses as much as digits as its factorization.

13083710000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77008 (or 76987 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The spelling of 13083710000 in words is "thirteen billion, eighty-three million, seven hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 76963 85000 153926 170000 307852 384815 615704 769630 1231408 1308371 1539260 1924075 2616742 3078520 3848150 5233484 6157040 6541855 7696300 9620375 10466968 13083710 15392600 19240750 20933936 26167420 30785200 32709275 38481500 48101875 52334840 65418550 76963000 96203750 104669680 130837100 153926000 163546375 192407500 261674200 327092750 384815000 523348400 654185500 769630000 817731875 1308371000 1635463750 2616742000 3270927500 6541855000 13083710000