Search a number
-
+
31122998280 = 23335115874463
BaseRepresentation
bin11100111111000100…
…110100010000001000
32222100000102010102000
4130333010310100020
51002214441421110
622144145511000
72151154056213
oct347704642010
988300363360
1031122998280
1112221137290
126047042460
132c1cc38b1a
14171365277a
15c225041c0
hex73f134408

31122998280 has 256 divisors, whose sum is σ = 113392742400. Its totient is φ = 7530428160.

The previous prime is 31122998239. The next prime is 31122998287. The reversal of 31122998280 is 8289922113.

It is a happy number.

31122998280 is a `hidden beast` number, since 311 + 229 + 98 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31122998287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6971329 + ... + 6975791.

It is an arithmetic number, because the mean of its divisors is an integer number (442940400).

Almost surely, 231122998280 is an apocalyptic number.

31122998280 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 31122998280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56696371200).

31122998280 is an abundant number, since it is smaller than the sum of its proper divisors (82269744120).

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

31122998280 is a wasteful number, since it uses less digits than its factorization.

31122998280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 31122998280 in words is "thirty-one billion, one hundred twenty-two million, nine hundred ninety-eight thousand, two hundred eighty".