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13122420201450 = 23252724851167633
BaseRepresentation
bin1011111011110100110100…
…1100011101011111101010
31201110111021000201010000200
42332331031030131133222
53204444204032421300
643524205010213030
72523030543215610
oct276751514353752
951414230633020
1013122420201450
1141aa207114aaa
12157b267b84176
137425923b2441
143351b29696b0
1517b526d54200
hexbef4d31d7ea

13122420201450 has 144 divisors (see below), whose sum is σ = 40293940504896. Its totient is φ = 2999271744000.

The previous prime is 13122420201437. The next prime is 13122420201461. The reversal of 13122420201450 is 5410202422131.

13122420201450 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 4 + 2 + 0 + 201 + 450 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78196834 + ... + 78364466.

It is an arithmetic number, because the mean of its divisors is an integer number (279819031284).

Almost surely, 213122420201450 is an apocalyptic number.

13122420201450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13122420201450 is an abundant number, since it is smaller than the sum of its proper divisors (27171520303446).

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

13122420201450 is a wasteful number, since it uses less digits than its factorization.

13122420201450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192509 (or 192501 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 13122420201450 its reverse (5410202422131), we get a palindrome (18532622623581).

The spelling of 13122420201450 in words is "thirteen trillion, one hundred twenty-two billion, four hundred twenty million, two hundred one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 24851 49702 74553 124255 149106 167633 173957 223659 248510 335266 347914 372765 447318 502899 521871 621275 745530 838165 869785 1005798 1043742 1118295 1173431 1242550 1508697 1565613 1676330 1739570 1863825 2236590 2346862 2514495 2609355 3017394 3131226 3520293 3727650 4190825 4348925 5028990 5218710 5591475 5867155 7040586 7543485 7828065 8381650 8697850 10560879 11182950 11734310 12572475 13046775 15086970 15656130 17601465 21121758 25144950 26093550 29335775 35202930 37717425 39140325 52804395 58671550 75434850 78280650 88007325 105608790 176014650 264021975 528043950 4165847683 8331695366 12497543049 20829238415 24995086098 29160933781 37492629147 41658476830 58321867562 62487715245 74985258294 87482801343 104146192075 124975430490 145804668905 174965602686 187463145735 208292384150 262448404029 291609337810 312438576225 374926291470 437414006715 524896808058 624877152450 729023344525 874828013430 937315728675 1312242020145 1458046689050 1874631457350 2187070033575 2624484040290 4374140067150 6561210100725 13122420201450