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313113023112120 = 233571133886690813
BaseRepresentation
bin100011100110001100100111…
…0100001000110001110111000
31112001122022102221101002201020
41013030121032201012032320
5312020020432404041440
63025534045334222440
7122644445414035050
oct10714311641061670
91461568387332636
10313113023112120
119084953a7861a0
122b14b499ab4a20
131059357b9a446a
145746a73342560
15262ebc56ea3d0
hex11cc64e8463b8

313113023112120 has 128 divisors (see below), whose sum is σ = 1171124034531840. Its totient is φ = 65062446359040.

The previous prime is 313113023112079. The next prime is 313113023112139. The reversal of 313113023112120 is 21211320311313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16943336167 + ... + 16943354646.

It is an arithmetic number, because the mean of its divisors is an integer number (9149406519780).

Almost surely, 2313113023112120 is an apocalyptic number.

313113023112120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313113023112120 is an abundant number, since it is smaller than the sum of its proper divisors (858011011419720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313113023112120 is a wasteful number, since it uses less digits than its factorization.

313113023112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33886690845 (or 33886690841 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 313113023112120 its reverse (21211320311313), we get a palindrome (334324343423433).

The spelling of 313113023112120 in words is "three hundred thirteen trillion, one hundred thirteen billion, twenty-three million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 33886690813 67773381626 101660072439 135546763252 169433454065 203320144878 237206835691 271093526504 338866908130 372753598943 406640289756 474413671382 508300362195 677733816260 711620507073 745507197886 813280579512 948827342764 1016600724390 1118260796829 1186034178455 1355467632520 1423241014146 1491014395772 1863767994715 1897654685528 2033201448780 2236521593658 2372068356910 2609275192601 2846482028292 2982028791544 3558102535365 3727535989430 4066402897560 4473043187316 4744136713820 5218550385202 5591303984145 5692964056584 7116205070730 7455071978860 7827825577803 8946086374632 9488273427640 10437100770404 11182607968290 13046375963005 14232410141460 14910143957720 15655651155606 20874201540808 22365215936580 26092751926010 28464820282920 31311302311212 39139127889015 44730431873160 52185503852020 62622604622424 78278255778030 104371007704040 156556511556060 313113023112120