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10310344323312 = 24311238353101641
BaseRepresentation
bin1001011000001001000001…
…1010010011000011110000
31100111122210121211100111010
42112002100122103003300
52322411041121321222
633532301244550520
72112616641513645
oct226022032230360
940448717740433
1010310344323312
113315657642550
1211a6269552440
1359a3520c09a7
14279048023dcc
1512d2e082680c
hex960906930f0

10310344323312 has 160 divisors (see below), whose sum is σ = 30323675874816. Its totient is φ = 2988118425600.

The previous prime is 10310344323281. The next prime is 10310344323347. The reversal of 10310344323312 is 21332344301301.

It is a self number, because there is not a number n which added to its sum of digits gives 10310344323312.

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, 101388012 + ... + 101489652.

Almost surely, 210310344323312 is an apocalyptic number.

10310344323312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10310344323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15161837937408).

10310344323312 is an abundant number, since it is smaller than the sum of its proper divisors (20013331551504).

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

10310344323312 is a wasteful number, since it uses less digits than its factorization.

10310344323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110039 (or 110033 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 10310344323312 its reverse (21332344301301), we get a palindrome (31642688624613).

The spelling of 10310344323312 in words is "ten trillion, three hundred ten billion, three hundred forty-four million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 8353 12144 16706 25059 33412 50118 66824 91883 100236 101641 133648 183766 192119 200472 203282 275649 304923 367532 384238 400944 406564 551298 576357 609846 735064 768476 813128 1102596 1118051 1152714 1219692 1470128 1536952 1626256 2113309 2205192 2236102 2305428 2337743 2439384 3073904 3354153 4226618 4410384 4472204 4610856 4675486 4878768 6339927 6708306 7013229 8453236 8944408 9221712 9350972 12679854 13416612 14026458 16906472 17888816 18701944 25359708 25715173 26833224 28052916 33812944 37403888 50719416 51430346 53666448 56105832 77145519 101438832 102860692 112211664 154291038 205721384 308582076 411442768 617164152 849007273 1234328304 1698014546 2547021819 3396029092 5094043638 6792058184 9339080003 10188087276 13584116368 18678160006 19527167279 20376174552 28017240009 37356320012 39054334558 40752349104 56034480018 58581501837 74712640024 78108669116 112068960036 117163003674 149425280048 156217338232 214798840069 224137920072 234326007348 312434676464 429597680138 448275840144 468652014696 644396520207 859195360276 937304029392 1288793040414 1718390720552 2577586080828 3436781441104 5155172161656 10310344323312