Search a number
-
+
31030110000 = 243254734723
BaseRepresentation
bin11100111001100010…
…011110011100110000
32222002112121220122100
4130321202132130300
51002022202010000
622131030540400
72145645404001
oct347142363460
988075556570
1031030110000
1112183762a0a
12601bb07700
132c06915346
1417051931a8
15c192a6a00
hex73989e730

31030110000 has 300 divisors, whose sum is σ = 110026598968. Its totient is φ = 8159616000.

The previous prime is 31030109993. The next prime is 31030110011. The reversal of 31030110000 is 1103013.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×310301100002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6567639 + ... + 6572361.

Almost surely, 231030110000 is an apocalyptic number.

31030110000 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 31030110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55013299484).

31030110000 is an abundant number, since it is smaller than the sum of its proper divisors (78996488968).

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

31030110000 is a wasteful number, since it uses less digits than its factorization.

31030110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4806 counting only the distinct ones).

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

Adding to 31030110000 its reverse (1103013), we get a palindrome (31031213013).

The spelling of 31030110000 in words is "thirty-one billion, thirty million, one hundred ten thousand".