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102111214320 = 24325199712669
BaseRepresentation
bin101111100011001001…
…1010111101011110000
3100202120022021010211200
41133012103113223300
53133110432324240
6114524221411200
710243261000203
oct1370623275360
9322508233750
10102111214320
113a33a133725
1217958a09b00
139824025a9b
144d295c993a
1529c9769930
hex17c64d7af0

102111214320 has 120 divisors (see below), whose sum is σ = 344647212000. Its totient is φ = 27092786688.

The previous prime is 102111214319. The next prime is 102111214321. The reversal of 102111214320 is 23412111201.

102111214320 is a `hidden beast` number, since 1 + 0 + 211 + 1 + 21 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102111214319) and next prime (102111214321).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102111214293 and 102111214302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111214321) 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, 213055 + ... + 499614.

It is an arithmetic number, because the mean of its divisors is an integer number (2872060100).

Almost surely, 2102111214320 is an apocalyptic number.

102111214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111214320 is an abundant number, since it is smaller than the sum of its proper divisors (242535997680).

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

102111214320 is a wasteful number, since it uses less digits than its factorization.

102111214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712887 (or 712878 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102111214320 its reverse (23412111201), we get a palindrome (125523325521).

The spelling of 102111214320 in words is "one hundred two billion, one hundred eleven million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 199 240 360 398 597 720 796 995 1194 1592 1791 1990 2388 2985 3184 3582 3980 4776 5970 7164 7960 8955 9552 11940 14328 15920 17910 23880 28656 35820 47760 71640 143280 712669 1425338 2138007 2850676 3563345 4276014 5701352 6414021 7126690 8552028 10690035 11402704 12828042 14253380 17104056 21380070 25656084 28506760 32070105 34208112 42760140 51312168 57013520 64140210 85520280 102624336 128280420 141821131 171040560 256560840 283642262 425463393 513121680 567284524 709105655 850926786 1134569048 1276390179 1418211310 1701853572 2127316965 2269138096 2552780358 2836422620 3403707144 4254633930 5105560716 5672845240 6381950895 6807414288 8509267860 10211121432 11345690480 12763901790 17018535720 20422242864 25527803580 34037071440 51055607160 102111214320