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311123100000 = 253551954583
BaseRepresentation
bin1001000011100000110…
…00011100000101100000
31002202001201000001102210
410201300120130011200
520044140003200000
6354532235442120
731322630500326
oct4416030340540
91082051001383
10311123100000
1110aa45973a29
125036a5b6340
13234533c719b
14110b64d7d16
15815de67350
hex487061c160

311123100000 has 288 divisors, whose sum is σ = 1074553724160. Its totient is φ = 78598080000.

The previous prime is 311123099993. The next prime is 311123100007. The reversal of 311123100000 is 1321113.

It is an interprime number because it is at equal distance from previous prime (311123099993) and next prime (311123100007).

It is a super-2 number, since 2×3111231000002 (a number of 24 digits) contains 22 as substring.

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 (311123100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5672709 + ... + 5727291.

It is an arithmetic number, because the mean of its divisors is an integer number (3731089320).

Almost surely, 2311123100000 is an apocalyptic number.

311123100000 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 311123100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537276862080).

311123100000 is an abundant number, since it is smaller than the sum of its proper divisors (763430624160).

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

311123100000 is an equidigital number, since it uses as much as digits as its factorization.

311123100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54640 (or 54612 counting only the distinct ones).

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

Adding to 311123100000 its reverse (1321113), we get a palindrome (311124421113).

The spelling of 311123100000 in words is "three hundred eleven billion, one hundred twenty-three million, one hundred thousand".