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31102200000 = 26325537467
BaseRepresentation
bin11100111101110101…
…011110100011000000
32222021120021110112100
4130331311132203000
51002144130400000
622142124030400
72150512223634
oct347565364300
988246243470
1031102200000
1112210421223
126040092400
132c18836251
14171099adc4
15c20796a00
hex73dd5e8c0

31102200000 has 504 divisors, whose sum is σ = 114685565904. Its totient is φ = 8052480000.

The previous prime is 31102199971. The next prime is 31102200001. The reversal of 31102200000 is 220113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (31102200001) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 66599767 + ... + 66600233.

It is an arithmetic number, because the mean of its divisors is an integer number (227550726).

Almost surely, 231102200000 is an apocalyptic number.

31102200000 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 31102200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57342782952).

31102200000 is an abundant number, since it is smaller than the sum of its proper divisors (83583365904).

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

31102200000 is an equidigital number, since it uses as much as digits as its factorization.

31102200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 31102200000 its reverse (220113), we get a palindrome (31102420113).

The spelling of 31102200000 in words is "thirty-one billion, one hundred two million, two hundred thousand".