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31123201200 = 24352713377703
BaseRepresentation
bin11100111111000101…
…100101110010110000
32222100000210102202120
4130333011211302300
51002220014414300
622144154114240
72151155562630
oct347705456260
988300712676
1031123201200
1112221265793
12604711b980
132c1ccaa2b0
1417136a66c0
15c225443a0
hex73f165cb0

31123201200 has 480 divisors, whose sum is σ = 126037933056. Its totient is φ = 6388346880.

The previous prime is 31123201177. The next prime is 31123201217. The reversal of 31123201200 is 210232113.

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 31123201200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4036549 + ... + 4044251.

Almost surely, 231123201200 is an apocalyptic number.

31123201200 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 31123201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63018966528).

31123201200 is an abundant number, since it is smaller than the sum of its proper divisors (94914731856).

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

31123201200 is a wasteful number, since it uses less digits than its factorization.

31123201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7770 counting only the distinct ones).

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

Adding to 31123201200 its reverse (210232113), we get a palindrome (31333433313).

The spelling of 31123201200 in words is "thirty-one billion, one hundred twenty-three million, two hundred one thousand, two hundred".