Search a number
-
+
3133401000 = 233531516917
BaseRepresentation
bin1011101011000011…
…1110011110101000
322002101001021002220
42322300332132220
522404122313000
61234531354040
7140435316612
oct27260763650
98071037086
103133401000
1113687a5604
12735452920
133ac221042
1421a20ddb2
151351451a0
hexbac3e7a8

3133401000 has 128 divisors (see below), whose sum is σ = 9842376960. Its totient is φ = 829920000.

The previous prime is 3133400989. The next prime is 3133401049. The reversal of 3133401000 is 1043313.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 449542 + ... + 456458.

It is an arithmetic number, because the mean of its divisors is an integer number (76893570).

Almost surely, 23133401000 is an apocalyptic number.

3133401000 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 3133401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921188480).

3133401000 is an abundant number, since it is smaller than the sum of its proper divisors (6708975960).

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

3133401000 is a wasteful number, since it uses less digits than its factorization.

3133401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3133401000 is about 55976.7898329299. The cubic root of 3133401000 is about 1463.3178127474.

Adding to 3133401000 its reverse (1043313), we get a palindrome (3134444313).

The spelling of 3133401000 in words is "three billion, one hundred thirty-three million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 151 200 250 300 302 375 453 500 600 604 750 755 906 1000 1208 1500 1510 1812 2265 3000 3020 3624 3775 4530 6040 6917 7550 9060 11325 13834 15100 18120 18875 20751 22650 27668 30200 34585 37750 41502 45300 55336 56625 69170 75500 83004 90600 103755 113250 138340 151000 166008 172925 207510 226500 276680 345850 415020 453000 518775 691700 830040 864625 1037550 1044467 1383400 1729250 2075100 2088934 2593875 3133401 3458500 4150200 4177868 5187750 5222335 6266802 6917000 8355736 10375500 10444670 12533604 15667005 20751000 20889340 25067208 26111675 31334010 41778680 52223350 62668020 78335025 104446700 125336040 130558375 156670050 208893400 261116750 313340100 391675125 522233500 626680200 783350250 1044467000 1566700500 3133401000