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312131141111042 = 2111967151118162497
BaseRepresentation
bin100011011111000011011000…
…1110010100000110100000010
31111221011110000220011101100022
41012332012301302200310002
5311402424034111023132
63023503022223253442
7122513505436526231
oct10676066162406402
91457143026141308
10312131141111042
1190500089a08030
122b01113374a282
1310521ac0212356
145711329280b18
1526143a9899e12
hex11be1b1ca0d02

312131141111042 has 128 divisors (see below), whose sum is σ = 549754247301120. Its totient is φ = 131414088960000.

The previous prime is 312131141111039. The next prime is 312131141111051. The reversal of 312131141111042 is 240111141131213.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4994306738 + ... + 4994369234.

It is an arithmetic number, because the mean of its divisors is an integer number (4294955057040).

Almost surely, 2312131141111042 is an apocalyptic number.

312131141111042 is a deficient number, since it is larger than the sum of its proper divisors (237623106190078).

312131141111042 is a wasteful number, since it uses less digits than its factorization.

312131141111042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63928.

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 312131141111042 its reverse (240111141131213), we get a palindrome (552242282242255).

The spelling of 312131141111042 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred forty-one million, one hundred eleven thousand, forty-two".

Divisors: 1 2 11 19 22 38 67 134 151 209 302 418 737 1181 1273 1474 1661 2362 2546 2869 3322 5738 10117 12991 14003 20234 22439 25982 28006 31559 44878 62497 63118 79127 111287 124994 158254 178331 192223 222574 246829 356662 384446 493658 687467 870397 1187443 1374934 1503413 1740794 1961641 2114453 2374886 3006826 3388289 3923282 4187299 4228906 6776578 8374598 9437047 11948177 13061873 16537543 18874094 23896354 26123746 33075086 37271179 46060289 73808957 74542358 79558681 92120578 103807517 131429947 147617914 159117362 179303893 207615034 227015363 262859894 358607786 454030726 632282149 811898527 875145491 1264564298 1402370183 1623797054 1750290982 1972342823 2497168993 2804740366 3944685646 4945200119 4994337986 6955103639 9890400238 11145152507 12013360831 13910207278 15426072013 22290305014 24026721662 30852144026 54397201309 93958802261 108794402618 122596677577 132146969141 187917604522 211757897633 245193355154 264293938282 423515795266 746725217969 1033546824871 1493450435938 2067093649742 2329336873963 4658673747926 8213977397659 14187779141411 16427954795318 28375558282822 156065570555521 312131141111042