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311123111020 = 225194717420107
BaseRepresentation
bin1001000011100000110…
…00011110110001101100
31002202001201000121112221
410201300120132301230
520044140004023040
6354532240005124
731322630544421
oct4416030366154
91082051017487
10311123111020
1110aa45981237
125036a6007a4
13234533cc1c7
14110b64dbd48
15815de6a74a
hex487061ec6c

311123111020 has 48 divisors (see below), whose sum is σ = 702378754560. Its totient is φ = 115390782144.

The previous prime is 311123111017. The next prime is 311123111023. The reversal of 311123111020 is 20111321113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311123111017) and next prime (311123111023).

It is a junction number, because it is equal to n+sod(n) for n = 311123110985 and 311123111003.

It is not an unprimeable number, because it can be changed into a prime (311123111023) 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 15 ways as a sum of consecutive naturals, for example, 8692194 + ... + 8727913.

It is an arithmetic number, because the mean of its divisors is an integer number (14632890720).

Almost surely, 2311123111020 is an apocalyptic number.

It is an amenable number.

311123111020 is an abundant number, since it is smaller than the sum of its proper divisors (391255643540).

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

311123111020 is a wasteful number, since it uses less digits than its factorization.

311123111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17420182 (or 17420180 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 311123111020 its reverse (20111321113), we get a palindrome (331234432133).

The spelling of 311123111020 in words is "three hundred eleven billion, one hundred twenty-three million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 3572 4465 8930 17860 17420107 34840214 69680428 87100535 174201070 330982033 348402140 661964066 818745029 1323928132 1637490058 1654910165 3274980116 3309820330 4093725145 6619640660 8187450290 15556155551 16374900580 31112311102 62224622204 77780777755 155561555510 311123111020