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3031211300 = 22521314915649
BaseRepresentation
bin1011010010101100…
…1001110100100100
321211020202111012012
42310223021310210
522201442230200
61220441213352
7135054604505
oct26453116444
97736674165
103031211300
111316048a07
12707191258
13393cc1970
1420a80cbac
1512b1aba35
hexb4ac9d24

3031211300 has 72 divisors (see below), whose sum is σ = 7131705000. Its totient is φ = 1111633920.

The previous prime is 3031211291. The next prime is 3031211357. The reversal of 3031211300 is 31121303.

It can be written as a sum of positive squares in 12 ways, for example, as 2479243264 + 551968036 = 49792^2 + 23494^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185876 + ... + 201524.

Almost surely, 23031211300 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 3031211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565852500).

3031211300 is an abundant number, since it is smaller than the sum of its proper divisors (4100493700).

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

3031211300 is a wasteful number, since it uses less digits than its factorization.

3031211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15825 (or 15818 counting only the distinct ones).

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

The square root of 3031211300 is about 55056.4374074458. The cubic root of 3031211300 is about 1447.2339340130.

Adding to 3031211300 its reverse (31121303), we get a palindrome (3062332603).

The spelling of 3031211300 in words is "three billion, thirty-one million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 149 260 298 325 596 650 745 1300 1490 1937 2980 3725 3874 7450 7748 9685 14900 15649 19370 31298 38740 48425 62596 78245 96850 156490 193700 203437 312980 391225 406874 782450 813748 1017185 1564900 2034370 2331701 4068740 4663402 5085925 9326804 10171850 11658505 20343700 23317010 30312113 46634020 58292525 60624226 116585050 121248452 151560565 233170100 303121130 606242260 757802825 1515605650 3031211300