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210013324200240 = 24351127231863781
BaseRepresentation
bin101111110000000110001001…
…100101100100100100110000
31000112121002002122200210222120
4233300012021211210210300
5210011324241443401430
62022354442250234240
762143650644551011
oct5760061145444460
91015532078623876
10210013324200240
1160a0a172525200
121b679ba5425980
13902522ca0b052
1439c09b0591008
151942dddb23610
hexbf0189964930

210013324200240 has 120 divisors (see below), whose sum is σ = 715607384956464. Its totient is φ = 50912321011200.

The previous prime is 210013324200227. The next prime is 210013324200241. The reversal of 210013324200240 is 42002423310012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2100133242002402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 210013324200240.

It is not an unprimeable number, because it can be changed into a prime (210013324200241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3615902851 + ... + 3615960930.

Almost surely, 2210013324200240 is an apocalyptic number.

210013324200240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210013324200240 is an abundant number, since it is smaller than the sum of its proper divisors (505594060756224).

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

210013324200240 is a wasteful number, since it uses less digits than its factorization.

210013324200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7231863819 (or 7231863802 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 210013324200240 its reverse (42002423310012), we get a palindrome (252015747510252).

The spelling of 210013324200240 in words is "two hundred ten trillion, thirteen billion, three hundred twenty-four million, two hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 7231863781 14463727562 21695591343 28927455124 36159318905 43391182686 57854910248 72318637810 79550501591 86782365372 108477956715 115709820496 144637275620 159101003182 173564730744 216955913430 238651504773 289274551240 318202006364 347129461488 397752507955 433911826860 477303009546 578549102480 636404012728 795505015910 867823653720 875055517501 954606019092 1193257523865 1272808025456 1591010031820 1735647307440 1750111035002 1909212038184 2386515047730 2625166552503 3182020063640 3500222070004 3818424076368 4375277587505 4773030095460 5250333105006 6364040127280 7000444140008 8750555175010 9546060190920 10500666210012 13125832762515 14000888280016 17501110350020 19092120381840 21001332420024 26251665525030 35002220700040 42002664840048 52503331050060 70004441400080 105006662100120 210013324200240