Search a number
-
+
3113010000 = 24325434589
BaseRepresentation
bin1011100110001100…
…1100001101010000
322000221200021220200
42321203030031100
522333412310000
61232522335200
7140100101622
oct27143141520
98027607820
103113010000
111358238541
1272a65a500
133a7c31969
14217622c12
15133468500
hexb98cc350

3113010000 has 150 divisors (see below), whose sum is σ = 10886960370. Its totient is φ = 830112000.

The previous prime is 3113009971. The next prime is 3113010013. The reversal of 3113010000 is 103113.

It can be written as a sum of positive squares in 5 ways, for example, as 2363126544 + 749883456 = 48612^2 + 27384^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 72706 + ... + 107294.

Almost surely, 23113010000 is an apocalyptic number.

3113010000 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 3113010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443480185).

3113010000 is an abundant number, since it is smaller than the sum of its proper divisors (7773950370).

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

3113010000 is a wasteful number, since it uses less digits than its factorization.

3113010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34623 (or 34599 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 3113010000 is about 55794.3545531266. The cubic root of 3113010000 is about 1460.1366607550.

Adding to 3113010000 its reverse (103113), we get a palindrome (3113113113).

The spelling of 3113010000 in words is "three billion, one hundred thirteen million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 34589 45000 69178 90000 103767 138356 172945 207534 276712 311301 345890 415068 518835 553424 622602 691780 830136 864725 1037670 1245204 1383560 1556505 1660272 1729450 2075340 2490408 2594175 2767120 3113010 3458900 4150680 4323625 4980816 5188350 6226020 6917800 7782525 8301360 8647250 10376700 12452040 12970875 13835600 15565050 17294500 20753400 21618125 24904080 25941750 31130100 34589000 38912625 41506800 43236250 51883500 62260200 64854375 69178000 77825250 86472500 103767000 124520400 129708750 155650500 172945000 194563125 207534000 259417500 311301000 345890000 389126250 518835000 622602000 778252500 1037670000 1556505000 3113010000