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311402134121 = 1371219724121
BaseRepresentation
bin1001000100000010000…
…00110111101001101001
31002202210011001110021212
410202001000313221221
520100222421242441
6355020044242505
731332556316021
oct4420100675151
91082704043255
10311402134121
11110079428441
1250427b40435
1323499164030
14111015b0a81
1581786d3eeb
hex4881037a69

311402134121 has 24 divisors (see below), whose sum is σ = 341886798792. Its totient is φ = 281949292800.

The previous prime is 311402134049. The next prime is 311402134259. The reversal of 311402134121 is 121431204113.

It can be written as a sum of positive squares in 4 ways, for example, as 48913957225 + 262488176896 = 221165^2 + 512336^2 .

It is not a de Polignac number, because 311402134121 - 222 = 311397939817 is a prime.

It is a super-2 number, since 2×3114021341212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311402134721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12897941 + ... + 12922061.

It is an arithmetic number, because the mean of its divisors is an integer number (14245283283).

Almost surely, 2311402134121 is an apocalyptic number.

It is an amenable number.

311402134121 is a deficient number, since it is larger than the sum of its proper divisors (30484664671).

311402134121 is a wasteful number, since it uses less digits than its factorization.

311402134121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24473 (or 24402 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 311402134121 its reverse (121431204113), we get a palindrome (432833338234).

The spelling of 311402134121 in words is "three hundred eleven billion, four hundred two million, one hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 13 71 197 923 2561 5041 13987 24121 65533 181831 313573 993077 1712591 4751837 12910001 22263683 61773881 121593961 337380427 1580721493 4385945551 23954010317 311402134121