Search a number
-
+
3133141000 = 235311284831
BaseRepresentation
bin1011101010111111…
…1111000000001000
322002100120001110021
42322233333000020
522404041003000
61234522030224
7140433154603
oct27257770010
98070501407
103133141000
111368638230
12735348374
133ac15c8b2
1421a18333a
151350e311a
hexbabff008

3133141000 has 64 divisors (see below), whose sum is σ = 7998082560. Its totient is φ = 1139320000.

The previous prime is 3133140991. The next prime is 3133141009. The reversal of 3133141000 is 1413313.

It is an interprime number because it is at equal distance from previous prime (3133140991) and next prime (3133141009).

It is not an unprimeable number, because it can be changed into a prime (3133141009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131416 + ... + 153415.

It is an arithmetic number, because the mean of its divisors is an integer number (124970040).

Almost surely, 23133141000 is an apocalyptic number.

It is an amenable number.

3133141000 is an abundant number, since it is smaller than the sum of its proper divisors (4864941560).

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

3133141000 is a wasteful number, since it uses less digits than its factorization.

3133141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284863 (or 284849 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3133141000 is about 55974.4673936251. The cubic root of 3133141000 is about 1463.2773377540.

Adding to 3133141000 its reverse (1413313), we get a palindrome (3134554313).

The spelling of 3133141000 in words is "three billion, one hundred thirty-three million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 284831 569662 1139324 1424155 2278648 2848310 3133141 5696620 6266282 7120775 11393240 12532564 14241550 15665705 25065128 28483100 31331410 35603875 56966200 62662820 71207750 78328525 125325640 142415500 156657050 284831000 313314100 391642625 626628200 783285250 1566570500 3133141000