Search a number
-
+
13000270677000 = 2335321372027807
BaseRepresentation
bin1011110100101101110010…
…0001000000010000001000
31201000210222012211100022120
42331023130201000100020
53200444023243131000
643352124130051240
72511144553332225
oct275133441002010
951023865740276
1013000270677000
1141624249763a2
12155b658419b20
13733bc6a8a419
1432d305d6494c
151782783026a0
hexbd2dc840408

13000270677000 has 128 divisors (see below), whose sum is σ = 40579844797440. Its totient is φ = 3465114892800.

The previous prime is 13000270676933. The next prime is 13000270677077. The reversal of 13000270677000 is 77607200031.

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, 5397097 + ... + 7424903.

It is an arithmetic number, because the mean of its divisors is an integer number (317030037480).

Almost surely, 213000270677000 is an apocalyptic number.

13000270677000 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 13000270677000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20289922398720).

13000270677000 is an abundant number, since it is smaller than the sum of its proper divisors (27579574120440).

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

13000270677000 is a wasteful number, since it uses less digits than its factorization.

13000270677000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029968 (or 2029954 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

Adding to 13000270677000 its reverse (77607200031), we get a palindrome (13077877877031).

The spelling of 13000270677000 in words is "thirteen trillion, two hundred seventy million, six hundred seventy-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2137 3000 4274 6411 8548 10685 12822 17096 21370 25644 32055 42740 51288 53425 64110 85480 106850 128220 160275 213700 256440 267125 320550 427400 534250 641100 801375 1068500 1282200 1602750 2027807 2137000 3205500 4055614 6083421 6411000 8111228 10139035 12166842 16222456 20278070 24333684 30417105 40556140 48667368 50695175 60834210 81112280 101390350 121668420 152085525 202780700 243336840 253475875 304171050 405561400 506951750 608342100 760427625 1013903500 1216684200 1520855250 2027807000 3041710500 4333423559 6083421000 8666847118 13000270677 17333694236 21667117795 26000541354 34667388472 43334235590 52001082708 65001353385 86668471180 104002165416 108335588975 130002706770 173336942360 216671177950 260005413540 325006766925 433342355900 520010827080 541677944875 650013533850 866684711800 1083355889750 1300027067700 1625033834625 2166711779500 2600054135400 3250067669250 4333423559000 6500135338500 13000270677000