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10244316234105 = 32510134915714111
BaseRepresentation
bin1001010100010011000011…
…0101001000000101111001
31100021100101000022212220200
42111010300311020011321
52320320324423442410
633442101321512413
72105061464151102
oct225046065100571
940240330285820
1010244316234105
11329a654499888
121195500942709
1359405b811715
14275b82b2d3a9
1512b728c8d3c0
hex95130d48179

10244316234105 has 96 divisors (see below), whose sum is σ = 17999832614400. Its totient is φ = 5389295040000.

The previous prime is 10244316234079. The next prime is 10244316234143. The reversal of 10244316234105 is 50143261344201.

10244316234105 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 4 + 316 + 234 + 105 = 666.

It is not a de Polignac number, because 10244316234105 - 26 = 10244316234041 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10244316234105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2491926000 + ... + 2491930110.

It is an arithmetic number, because the mean of its divisors is an integer number (187498256400).

Almost surely, 210244316234105 is an apocalyptic number.

10244316234105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10244316234105 is a deficient number, since it is larger than the sum of its proper divisors (7755516380295).

10244316234105 is a wasteful number, since it uses less digits than its factorization.

10244316234105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6140 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10244316234105 its reverse (50143261344201), we get a palindrome (60387577578306).

The spelling of 10244316234105 in words is "ten trillion, two hundred forty-four billion, three hundred sixteen million, two hundred thirty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 45 101 303 349 505 909 1047 1515 1571 1745 3141 4111 4545 4713 5235 7855 12333 14139 15705 20555 23565 35249 36999 61665 70695 105747 158671 176245 184995 317241 415211 476013 528735 548279 793355 1245633 1428039 1434739 1586205 1644837 2076055 2380065 2741395 3736899 4304217 4934511 6228165 6458381 7140195 7173695 8224185 12912651 18684495 19375143 21521085 24672555 32291905 55376179 58125429 64563255 96875715 144908639 166128537 276880895 290627145 434725917 498385611 652296481 724543195 830642685 1304177751 1956889443 2173629585 2253974969 2491928055 3261482405 5870668329 6520888755 6761924907 9784447215 11269874845 20285774721 29353341645 33809624535 101428873605 227651471869 682954415607 1138257359345 2048863246821 3414772078035 10244316234105