Search a number
-
+
311130010200 = 233521274083071
BaseRepresentation
bin1001000011100001100…
…10110011001001011000
31002202002012000010110010
410201300302303021120
520044143240311300
6354533043521520
731323043310562
oct4416062631130
91082065003403
10311130010200
1110aa49863739
12503709892a0
1323454976569
14110b73b6332
15815e87ea50
hex4870cb3258

311130010200 has 96 divisors (see below), whose sum is σ = 972097781760. Its totient is φ = 82314691200.

The previous prime is 311130010199. The next prime is 311130010207. The reversal of 311130010200 is 2010031113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311130010207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1965336 + ... + 2117735.

It is an arithmetic number, because the mean of its divisors is an integer number (10126018560).

Almost surely, 2311130010200 is an apocalyptic number.

311130010200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311130010200 is an abundant number, since it is smaller than the sum of its proper divisors (660967771560).

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

311130010200 is a wasteful number, since it uses less digits than its factorization.

311130010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083217 (or 4083208 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 311130010200 its reverse (2010031113), we get a palindrome (313140041313).

The spelling of 311130010200 in words is "three hundred eleven billion, one hundred thirty million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 127 150 200 254 300 381 508 600 635 762 1016 1270 1524 1905 2540 3048 3175 3810 5080 6350 7620 9525 12700 15240 19050 25400 38100 76200 4083071 8166142 12249213 16332284 20415355 24498426 32664568 40830710 48996852 61246065 81661420 97993704 102076775 122492130 163322840 204153550 244984260 306230325 408307100 489968520 518550017 612460650 816614200 1037100034 1224921300 1555650051 2074200068 2449842600 2592750085 3111300102 4148400136 5185500170 6222600204 7778250255 10371000340 12445200408 12963750425 15556500510 20742000680 25927500850 31113001020 38891251275 51855001700 62226002040 77782502550 103710003400 155565005100 311130010200