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14512000302100 = 22527163487126111
BaseRepresentation
bin1101001100101101011010…
…0111110111110000010100
31220101100000020211011202101
43103023112213313300110
53400231034034131400
650510415414251444
73025312616202430
oct323132647676024
956340006734671
1014512000302100
114695560930724
121764633656b84
13813625310ba2
1438255534b9c0
151a275531156a
hexd32d69f7c14

14512000302100 has 144 divisors (see below), whose sum is σ = 36219377811456. Its totient is φ = 4943813616000.

The previous prime is 14512000302061. The next prime is 14512000302127. The reversal of 14512000302100 is 120300021541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555768045 + ... + 555794155.

It is an arithmetic number, because the mean of its divisors is an integer number (251523457024).

Almost surely, 214512000302100 is an apocalyptic number.

14512000302100 is a gapful number since it is divisible by the number (10) 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 14512000302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18109688905728).

14512000302100 is an abundant number, since it is smaller than the sum of its proper divisors (21707377509356).

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

14512000302100 is a wasteful number, since it uses less digits than its factorization.

14512000302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31166 (or 31159 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 14512000302100 its reverse (120300021541), we get a palindrome (14632300323641).

The spelling of 14512000302100 in words is "fourteen trillion, five hundred twelve billion, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 163 175 326 350 652 700 815 1141 1630 2282 3260 4075 4564 4871 5705 8150 9742 11410 16300 19484 22820 24355 26111 28525 34097 48710 52222 57050 68194 97420 104444 114100 121775 130555 136388 170485 182777 243550 261110 340970 365554 487100 522220 652775 681940 731108 793973 852425 913885 1305550 1587946 1704850 1827770 2611100 3175892 3409700 3655540 3969865 4256093 4569425 5557811 7939730 8512186 9138850 11115622 15879460 17024372 18277700 19849325 21280465 22231244 27789055 29792651 39698650 42560930 55578110 59585302 79397300 85121860 106402325 111156220 119170604 127186681 138945275 148963255 212804650 254373362 277890550 297926510 425609300 508746724 555781100 595853020 635933405 744816275 890306767 1271866810 1489632550 1780613534 2543733620 2979265100 3179667025 3561227068 4451533835 6359334050 8903067670 12718668100 17806135340 20731429003 22257669175 41462858006 44515338350 82925716012 89030676700 103657145015 145120003021 207314290030 290240006042 414628580060 518285725075 580480012084 725600015105 1036571450150 1451200030210 2073142900300 2902400060420 3628000075525 7256000151050 14512000302100