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31112103000 = 23353114572063
BaseRepresentation
bin11100111110011011…
…010000010001011000
32222022020220120220010
4130332123100101120
51002204144244000
622143120201520
72150662340436
oct347633202130
988266816803
1031112103000
1112215a75520
1260434692a0
132c1a8c2904
141712017d56
15c215a0d50
hex73e6d0458

31112103000 has 256 divisors, whose sum is σ = 106177443840. Its totient is φ = 7522176000.

The previous prime is 31112102969. The next prime is 31112103007. The reversal of 31112103000 is 30121113.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31112103007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15079969 + ... + 15082031.

It is an arithmetic number, because the mean of its divisors is an integer number (414755640).

Almost surely, 231112103000 is an apocalyptic number.

31112103000 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 31112103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53088721920).

31112103000 is an abundant number, since it is smaller than the sum of its proper divisors (75065340840).

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

31112103000 is a wasteful number, since it uses less digits than its factorization.

31112103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 31112103000 its reverse (30121113), we get a palindrome (31142224113).

The spelling of 31112103000 in words is "thirty-one billion, one hundred twelve million, one hundred three thousand".