Search a number
-
+
3130052000 = 25533721149
BaseRepresentation
bin1011101010010000…
…1100110110100000
322002010202010010212
42322210030312200
522402243131000
61234331513252
7140365001015
oct27244146640
98063663125
103130052000
111366918439
127342b8828
133ab61a89a
142199bb70c
15134bd2c35
hexba90cda0

3130052000 has 96 divisors (see below), whose sum is σ = 7898763600. Its totient is φ = 1218124800.

The previous prime is 3130051993. The next prime is 3130052017. The reversal of 3130052000 is 2500313.

It can be written as a sum of positive squares in 8 ways, for example, as 95804944 + 3034247056 = 9788^2 + 55084^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137426 + ... + 158574.

Almost surely, 23130052000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949381800).

3130052000 is an abundant number, since it is smaller than the sum of its proper divisors (4768711600).

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

3130052000 is a wasteful number, since it uses less digits than its factorization.

3130052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21211 (or 21193 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3130052000 is about 55946.8676513708. The cubic root of 3130052000 is about 1462.7962922715.

Adding to 3130052000 its reverse (2500313), we get a palindrome (3132552313).

The spelling of 3130052000 in words is "three billion, one hundred thirty million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 740 800 925 1000 1184 1480 1850 2000 2960 3700 4000 4625 5920 7400 9250 14800 18500 21149 29600 37000 42298 74000 84596 105745 148000 169192 211490 338384 422980 528725 676768 782513 845960 1057450 1565026 1691920 2114900 2643625 3130052 3383840 3912565 4229800 5287250 6260104 7825130 8459600 10574500 12520208 15650260 16919200 19562825 21149000 25040416 31300520 39125650 42298000 62601040 78251300 84596000 97814125 125202080 156502600 195628250 313005200 391256500 626010400 782513000 1565026000 3130052000