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31020223200 = 2535212925093
BaseRepresentation
bin11100111000111100…
…110000101011100000
32222001212000121111120
4130320330300223200
51002012134120300
622130035012240
72145465355341
oct347074605340
988055017446
1031020223200
111217911a8aa
12601873a080
132c04863175
141703b3c0c8
15c184a23a0
hex738f30ae0

31020223200 has 72 divisors (see below), whose sum is σ = 100970834328. Its totient is φ = 8272058880.

The previous prime is 31020223193. The next prime is 31020223237. The reversal of 31020223200 is 232202013.

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 31020223200.

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 11 ways as a sum of consecutive naturals, for example, 6460147 + ... + 6464946.

It is an arithmetic number, because the mean of its divisors is an integer number (1402372699).

Almost surely, 231020223200 is an apocalyptic number.

31020223200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31020223200 is an abundant number, since it is smaller than the sum of its proper divisors (69950611128).

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

31020223200 is a wasteful number, since it uses less digits than its factorization.

31020223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12925116 (or 12925103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 31020223200 its reverse (232202013), we get a palindrome (31252425213).

The spelling of 31020223200 in words is "thirty-one billion, twenty million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 12925093 25850186 38775279 51700372 64625465 77550558 103400744 129250930 155101116 193876395 206801488 258501860 310202232 323127325 387752790 413602976 517003720 620404464 646254650 775505580 969381975 1034007440 1240808928 1292509300 1551011160 1938763950 2068014880 2585018600 3102022320 3877527900 5170037200 6204044640 7755055800 10340074400 15510111600 31020223200