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1031240552200 = 235240122735657
BaseRepresentation
bin11110000000110101011…
…10100000111100001000
310122120210221000220112221
433000122232200330020
5113343440040132300
62105424555543424
7134335050031105
oct17003256407410
93576727026487
101031240552200
1136838a453181
12147a4045ab74
13763266830a1
1437cab539aac
151bc5923b31a
hexf01aba0f08

1031240552200 has 96 divisors (see below), whose sum is σ = 2405095963560. Its totient is φ = 411213824000.

The previous prime is 1031240552183. The next prime is 1031240552213. The reversal of 1031240552200 is 22550421301.

It can be written as a sum of positive squares in 12 ways, for example, as 314884833316 + 716355718884 = 561146^2 + 846378^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182291772 + ... + 182297428.

Almost surely, 21031240552200 is an apocalyptic number.

1031240552200 is a gapful number since it is divisible by the number (10) 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 1031240552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202547981780).

1031240552200 is an abundant number, since it is smaller than the sum of its proper divisors (1373855411360).

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

1031240552200 is a wasteful number, since it uses less digits than its factorization.

1031240552200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8347 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 1031240552200 its reverse (22550421301), we get a palindrome (1053790973501).

The spelling of 1031240552200 in words is "one trillion, thirty-one billion, two hundred forty million, five hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 401 802 1604 2005 2273 3208 4010 4546 5657 8020 9092 10025 11314 11365 16040 18184 20050 22628 22730 28285 40100 45256 45460 56570 56825 80200 90920 113140 113650 141425 226280 227300 282850 454600 565700 911473 1131400 1822946 2268457 3645892 4536914 4557365 7291784 9073828 9114730 11342285 12858361 18147656 18229460 22684570 22786825 25716722 36458920 45369140 45573650 51433444 56711425 64291805 90738280 91147300 102866888 113422850 128583610 182294600 226845700 257167220 321459025 453691400 514334440 642918050 1285836100 2571672200 5156202761 10312405522 20624811044 25781013805 41249622088 51562027610 103124055220 128905069025 206248110440 257810138050 515620276100 1031240552200