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10304330343104 = 2671012081109433
BaseRepresentation
bin1001010111110010100111…
…1100110010001011000000
31100111002021111110111120102
42111330221330302023000
52322311232031434404
633525424412301532
72112314624520650
oct225745174621300
940432244414512
1010304330343104
113313050933176
1211a506b4718a8
1359990416b815
14278a37416360
1512d08c87b71e
hex95f29f322c0

10304330343104 has 112 divisors (see below), whose sum is σ = 23611679447616. Its totient is φ = 4370276352000.

The previous prime is 10304330343103. The next prime is 10304330343121. The reversal of 10304330343104 is 40134303340301.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (10304330343103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94106372 + ... + 94215804.

Almost surely, 210304330343104 is an apocalyptic number.

10304330343104 is a gapful number since it is divisible by the number (14) 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 10304330343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805839723808).

10304330343104 is an abundant number, since it is smaller than the sum of its proper divisors (13307349104512).

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

10304330343104 is a wasteful number, since it uses less digits than its factorization.

10304330343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111634 (or 111624 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 10304330343104 its reverse (40134303340301), we get a palindrome (50438633683405).

The spelling of 10304330343104 in words is "ten trillion, three hundred four billion, three hundred thirty million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 202 224 404 448 707 808 1414 1616 2081 2828 3232 4162 5656 6464 8324 11312 14567 16648 22624 29134 33296 45248 58268 66592 109433 116536 133184 210181 218866 233072 420362 437732 466144 766031 840724 875464 932288 1471267 1532062 1681448 1750928 2942534 3064124 3362896 3501856 5885068 6128248 6725792 7003712 11052733 11770136 12256496 13451584 22105466 23540272 24512992 44210932 47080544 49025984 77369131 88421864 94161088 154738262 176843728 227730073 309476524 353687456 455460146 618953048 707374912 910920292 1237906096 1594110511 1821840584 2475812192 3188221022 3643681168 4951624384 6376442044 7287362336 12752884088 14574724672 23000737373 25505768176 46001474746 51011536352 92002949492 102023072704 161005161611 184005898984 322010323222 368011797968 644020646444 736023595936 1288041292888 1472047191872 2576082585776 5152165171552 10304330343104