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31000402200 = 2335278765651
BaseRepresentation
bin11100110111110001…
…001001100100011000
32222000110201121012110
4130313301021210120
51001442100332300
622124050112320
72145135033225
oct346761114430
988013647173
1031000402200
1112168a12009
126011b7b6a0
132c00713371
14170125c94c
15c16889550
hex737c49918

31000402200 has 96 divisors (see below), whose sum is σ = 96224823360. Its totient is φ = 8256144000.

The previous prime is 31000402117. The next prime is 31000402229. The reversal of 31000402200 is 220400013.

It is a super-2 number, since 2×310004022002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 439375 + ... + 505025.

It is an arithmetic number, because the mean of its divisors is an integer number (1002341910).

Almost surely, 231000402200 is an apocalyptic number.

31000402200 is a gapful number since it is divisible by the number (30) 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 31000402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48112411680).

31000402200 is an abundant number, since it is smaller than the sum of its proper divisors (65224421160).

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

31000402200 is a wasteful number, since it uses less digits than its factorization.

31000402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66457 (or 66448 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 31000402200 its reverse (220400013), we get a palindrome (31220802213).

The spelling of 31000402200 in words is "thirty-one billion, four hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 787 1574 2361 3148 3935 4722 6296 7870 9444 11805 15740 18888 19675 23610 31480 39350 47220 59025 65651 78700 94440 118050 131302 157400 196953 236100 262604 328255 393906 472200 525208 656510 787812 984765 1313020 1575624 1641275 1969530 2626040 3282550 3939060 4923825 6565100 7878120 9847650 13130200 19695300 39390600 51667337 103334674 155002011 206669348 258336685 310004022 413338696 516673370 620008044 775010055 1033346740 1240016088 1291683425 1550020110 2066693480 2583366850 3100040220 3875050275 5166733700 6200080440 7750100550 10333467400 15500201100 31000402200