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13123301412420 = 2234517749456409
BaseRepresentation
bin1011111011111000000110…
…1110000000111001000100
31201110120112102212021020000
42332332001232000321010
53210003010130144140
643524432245441300
72523061433331033
oct276760156007104
951416472767200
1013123301412420
1141aa619583931
12157b473110230
137426a2b2a954
143352579d471a
1517b5793bda30
hexbef81b80e44

13123301412420 has 120 divisors (see below), whose sum is σ = 41170692255000. Its totient is φ = 3499342207488.

The previous prime is 13123301412413. The next prime is 13123301412491. The reversal of 13123301412420 is 2421410332131.

13123301412420 is a `hidden beast` number, since 1 + 3 + 1 + 233 + 0 + 1 + 4 + 1 + 2 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2015332301376 + 11107969111044 = 1419624^2 + 3332862^2 .

It is a super-2 number, since 2×131233014124202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28525176 + ... + 28981584.

It is an arithmetic number, because the mean of its divisors is an integer number (343089102125).

Almost surely, 213123301412420 is an apocalyptic number.

13123301412420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123301412420 is an abundant number, since it is smaller than the sum of its proper divisors (28047390842580).

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

13123301412420 is a wasteful number, since it uses less digits than its factorization.

13123301412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474179 (or 474168 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13123301412420 its reverse (2421410332131), we get a palindrome (15544711744551).

The spelling of 13123301412420 in words is "thirteen trillion, one hundred twenty-three billion, three hundred one million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 17749 35498 53247 70996 88745 106494 159741 177490 212988 266235 319482 354980 456409 479223 532470 638964 798705 912818 958446 1064940 1369227 1437669 1597410 1825636 1916892 2282045 2396115 2738454 2875338 3194820 4107681 4564090 4792230 5476908 5750676 6846135 7188345 8215362 9128180 9584460 12323043 13692270 14376690 16430724 20538405 24646086 27384540 28753380 36969129 41076810 49292172 61615215 73938258 82153620 123230430 147876516 184845645 246460860 369691290 739382580 8100803341 16201606682 24302410023 32403213364 40504016705 48604820046 72907230069 81008033410 97209640092 121512050115 145814460138 162016066820 218721690207 243024100230 291628920276 364536150345 437443380414 486048200460 656165070621 729072300690 874886760828 1093608451035 1312330141242 1458144601380 2187216902070 2624660282484 3280825353105 4374433804140 6561650706210 13123301412420