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312131312200123 = 138911317322760793
BaseRepresentation
bin100011011111000011011101…
…1111111001010100110111011
31111221011110110211002121102221
41012332012323333022212323
5311402424411410400443
63023503051214304511
7122513512615002223
oct10676067377124673
91457143424077387
10312131312200123
1190500167543869
122b011180ab8137
1310521b197b62b0
145711343c99083
1526143b98e2eed
hex11be1bbfca9bb

312131312200123 has 64 divisors (see below), whose sum is σ = 346433762747520. Its totient is φ = 279489346633728.

The previous prime is 312131312200111. The next prime is 312131312200187. The reversal of 312131312200123 is 321002213131213.

It is a de Polignac number, because none of the positive numbers 2k-312131312200123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312131312206123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5134299415 + ... + 5134360207.

It is an arithmetic number, because the mean of its divisors is an integer number (5413027542930).

Almost surely, 2312131312200123 is an apocalyptic number.

312131312200123 is a deficient number, since it is larger than the sum of its proper divisors (34302450547397).

312131312200123 is a wasteful number, since it uses less digits than its factorization.

312131312200123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61408.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 312131312200123 its reverse (321002213131213), we get a palindrome (633133525331336).

The spelling of 312131312200123 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred twelve million, two hundred thousand, one hundred twenty-three".

Divisors: 1 13 89 113 173 227 1157 1469 2249 2951 10057 15397 19549 20203 25651 39271 60793 130741 200161 254137 262639 333463 510523 790309 1739861 2282939 3495119 4437623 5410577 6869609 10517189 13800011 22618193 29678207 45436547 57689099 70337501 89304917 136723457 179400143 394948447 611395201 936029821 1188442357 1228200979 1559401243 2387401903 5134329811 7948137613 12168387673 15449750641 15966612727 20272216159 31036224739 105771369773 138786710627 212478769367 269776415039 1375027807049 1804227238151 2762224001771 3507093395507 24010100938471 312131312200123