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2031113400 = 2335219917011
BaseRepresentation
bin111100100010000…
…0101010010111000
312020112220020210020
41321010011102320
513124431112100
6533313450440
7101222115261
oct17104052270
95215806706
102031113400
11952568618
12488270a20
13264a4c064
14153a77968
15bd4ab5a0
hex791054b8

2031113400 has 96 divisors (see below), whose sum is σ = 6328464000. Its totient is φ = 538876800.

The previous prime is 2031113393. The next prime is 2031113407. The reversal of 2031113400 is 43111302.

It is an interprime number because it is at equal distance from previous prime (2031113393) and next prime (2031113407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2031113400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031113407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110895 + ... + 127905.

It is an arithmetic number, because the mean of its divisors is an integer number (65921500).

Almost surely, 22031113400 is an apocalyptic number.

2031113400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164232000).

2031113400 is an abundant number, since it is smaller than the sum of its proper divisors (4297350600).

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

2031113400 is a wasteful number, since it uses less digits than its factorization.

2031113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17229 (or 17220 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2031113400 is about 45067.8754768849. The cubic root of 2031113400 is about 1266.4208648927.

Adding to 2031113400 its reverse (43111302), we get a palindrome (2074224702).

The spelling of 2031113400 in words is "two billion, thirty-one million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 199 200 300 398 597 600 796 995 1194 1592 1990 2388 2985 3980 4776 4975 5970 7960 9950 11940 14925 17011 19900 23880 29850 34022 39800 51033 59700 68044 85055 102066 119400 136088 170110 204132 255165 340220 408264 425275 510330 680440 850550 1020660 1275825 1701100 2041320 2551650 3385189 3402200 5103300 6770378 10155567 10206600 13540756 16925945 20311134 27081512 33851890 40622268 50777835 67703780 81244536 84629725 101555670 135407560 169259450 203111340 253889175 338518900 406222680 507778350 677037800 1015556700 2031113400