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312044134101 = 371917935312377
BaseRepresentation
bin1001000101001110100…
…01111001111011010101
31002211102220002102200220
410202213101321323111
520103031244242401
6355203500424553
731354513243050
oct4424721717325
91084386072626
10312044134101
11110378862537
1250586b48159
132356c17688b
141116296ba97
1581b4c4b336
hex48a7479ed5

312044134101 has 64 divisors (see below), whose sum is σ = 504784742400. Its totient is φ = 167493021696.

The previous prime is 312044134091. The next prime is 312044134217. The reversal of 312044134101 is 101431440213.

It is not a de Polignac number, because 312044134101 - 211 = 312044132053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312044134301) 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, 25205425 + ... + 25217801.

It is an arithmetic number, because the mean of its divisors is an integer number (7887261600).

Almost surely, 2312044134101 is an apocalyptic number.

It is an amenable number.

312044134101 is a deficient number, since it is larger than the sum of its proper divisors (192740608299).

312044134101 is a wasteful number, since it uses less digits than its factorization.

312044134101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312044134101 its reverse (101431440213), we get a palindrome (413475574314).

The spelling of 312044134101 in words is "three hundred twelve billion, forty-four million, one hundred thirty-four thousand, one hundred one".

Divisors: 1 3 7 19 21 57 133 179 353 399 537 1059 1253 2471 3401 3759 6707 7413 10203 12377 20121 23807 37131 46949 63187 71421 86639 140847 189561 235163 259917 442309 705489 1200553 1326927 1646141 2215483 3601659 4369081 4938423 6646449 8403871 13107243 15508381 25211613 30583567 42094177 46525143 83012539 91750701 126282531 249037617 294659239 581087773 782065499 883977717 1743263319 2346196497 5474458493 14859244481 16423375479 44577733443 104014711367 312044134101