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312000122321342 = 271331127439991867
BaseRepresentation
bin100011011110000110011000…
…0011101011111100110111110
31111220200220211222012020222122
41012330030300131133212332
5311343302222303240332
63023322513312042542
7122501156612302430
oct10674146035374676
91456626758166878
10312000122321342
119045a566251144
122abab869833452
13105126402520a0
145708c5a776650
152610c8c392c12
hex11bc33075f9be

312000122321342 has 128 divisors (see below), whose sum is σ = 600628285931520. Its totient is φ = 118236457745280.

The previous prime is 312000122321323. The next prime is 312000122321347. The reversal of 312000122321342 is 243123221000213.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312000122321347) 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, 314062493 + ... + 315054359.

It is an arithmetic number, because the mean of its divisors is an integer number (4692408483840).

Almost surely, 2312000122321342 is an apocalyptic number.

312000122321342 is a deficient number, since it is larger than the sum of its proper divisors (288628163610178).

312000122321342 is a wasteful number, since it uses less digits than its factorization.

312000122321342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992486.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 312000122321342 its reverse (243123221000213), we get a palindrome (555123343321555).

The spelling of 312000122321342 in words is "three hundred twelve trillion, one hundred twenty-two million, three hundred twenty-one thousand, three hundred forty-two".

Divisors: 1 2 7 13 14 26 31 62 91 127 182 217 254 403 434 439 806 878 889 1651 1778 2821 3073 3302 3937 5642 5707 6146 7874 11414 11557 13609 23114 27218 27559 39949 51181 55118 55753 79898 95263 102362 111506 176917 190526 353834 358267 390271 716534 724789 780542 991867 1238419 1449578 1728343 1983734 2476838 3456686 5073523 6943069 10147046 12098401 12894271 13886138 22468459 24196802 25788542 30747877 44936918 61495754 90259897 125967109 157279213 180519794 215235139 251934218 314558426 399722401 430470278 435429613 799444802 870859226 881769763 1637572417 1763539526 2798056807 3048007291 3275144834 3904980379 5596113614 5660584969 6096014582 7809960758 11321169938 11463006919 13498318003 22926013838 26996636006 27334862653 39624094783 50764744927 54669725306 55299560851 79248189566 94488226021 101529489854 110599121702 175478134039 188976452042 350956268078 355353214489 387096925957 710706428978 718894291063 774193851914 1228346938273 1437788582126 1714286386381 2456693876546 3428572772762 5032260037441 10064520074882 12000004704667 22285723022953 24000009409334 44571446045906 156000061160671 312000122321342