Search a number
-
+
3132113000 = 23534179967
BaseRepresentation
bin1011101010110000…
…0100000001101000
322002021121211022012
42322230010001220
522403310104000
61234444015052
7140421343532
oct27254040150
98067554265
103132113000
111367aa5945
12734b31488
133abb8ca03
14219d96852
15134e8d735
hexbab04068

3132113000 has 128 divisors (see below), whose sum is σ = 7610803200. Its totient is φ = 1205568000.

The previous prime is 3132112967. The next prime is 3132113003. The reversal of 3132113000 is 3112313.

It is not an unprimeable number, because it can be changed into a prime (3132113003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3238517 + ... + 3239483.

It is an arithmetic number, because the mean of its divisors is an integer number (59459400).

Almost surely, 23132113000 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 3132113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805401600).

3132113000 is an abundant number, since it is smaller than the sum of its proper divisors (4478690200).

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

3132113000 is a wasteful number, since it uses less digits than its factorization.

3132113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3132113000 is about 55965.2838820639. The cubic root of 3132113000 is about 1463.1172839240.

Adding to 3132113000 its reverse (3112313), we get a palindrome (3135225313).

The spelling of 3132113000 in words is "three billion, one hundred thirty-two million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 79 82 100 125 158 164 200 205 250 316 328 395 410 500 632 790 820 967 1000 1025 1580 1640 1934 1975 2050 3160 3239 3868 3950 4100 4835 5125 6478 7736 7900 8200 9670 9875 10250 12956 15800 16195 19340 19750 20500 24175 25912 32390 38680 39500 39647 41000 48350 64780 76393 79000 79294 80975 96700 120875 129560 152786 158588 161950 193400 198235 241750 305572 317176 323900 381965 396470 404875 483500 611144 647800 763930 792940 809750 967000 991175 1527860 1585880 1619500 1909825 1982350 3055720 3132113 3239000 3819650 3964700 4955875 6264226 7639300 7929400 9549125 9911750 12528452 15278600 15660565 19098250 19823500 25056904 31321130 38196500 39647000 62642260 76393000 78302825 125284520 156605650 313211300 391514125 626422600 783028250 1566056500 3132113000