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31998000030 = 2356719979997
BaseRepresentation
bin11101110011001110…
…101011101110011110
310001120222212211011020
4131303032223232132
51011012442000110
622411044105010
72211640340553
oct356316535636
9101528784136
1031998000030
1112630045027
126250095166
13302c2bc039
141797942a2a
15c74243d70
hex7733abb9e

31998000030 has 64 divisors (see below), whose sum is σ = 78334041600. Its totient is φ = 8363101824.

The previous prime is 31998000029. The next prime is 31998000031. The reversal of 31998000030 is 3000089913.

It is an interprime number because it is at equal distance from previous prime (31998000029) and next prime (31998000031).

It is a junction number, because it is equal to n+sod(n) for n = 31997999955 and 31998000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31998000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359992 + ... + 439988.

It is an arithmetic number, because the mean of its divisors is an integer number (1223969400).

Almost surely, 231998000030 is an apocalyptic number.

31998000030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31998000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39167020800).

31998000030 is an abundant number, since it is smaller than the sum of its proper divisors (46336041570).

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

31998000030 is a wasteful number, since it uses less digits than its factorization.

31998000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80273.

The product of its (nonzero) digits is 5832, while the sum is 33.

Adding to 31998000030 its reverse (3000089913), we get a palindrome (34998089943).

The spelling of 31998000030 in words is "thirty-one billion, nine hundred ninety-eight million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 67 134 199 201 335 398 402 597 670 995 1005 1194 1990 2010 2985 5970 13333 26666 39999 66665 79997 79998 133330 159994 199995 239991 399985 399990 479982 799970 1199955 2399910 5359799 10719598 15919403 16079397 26798995 31838806 32158794 47758209 53597990 79597015 80396985 95516418 159194030 160793970 238791045 477582090 1066600001 2133200002 3199800003 5333000005 6399600006 10666000010 15999000015 31998000030