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102011421040 = 24519412277211
BaseRepresentation
bin101111100000001011…
…0101100000101110000
3100202022100111010012021
41133000112230011300
53132404410433130
6114510254441224
710240636525534
oct1370026540560
9322270433167
10102011421040
113a298873541
121792b503214
1398094553c9
144d1a24dbc4
1529c0b0637a
hex17c05ac170

102011421040 has 160 divisors (see below), whose sum is σ = 256911056640. Its totient is φ = 37542758400.

The previous prime is 102011420963. The next prime is 102011421067. The reversal of 102011421040 is 40124110201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14143035 + ... + 14150245.

It is an arithmetic number, because the mean of its divisors is an integer number (1605694104).

Almost surely, 2102011421040 is an apocalyptic number.

102011421040 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 102011421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128455528320).

102011421040 is an abundant number, since it is smaller than the sum of its proper divisors (154899635600).

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

102011421040 is a wasteful number, since it uses less digits than its factorization.

102011421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7511 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102011421040 its reverse (40124110201), we get a palindrome (142135531241).

The spelling of 102011421040 in words is "one hundred two billion, eleven million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 41 76 80 82 95 152 164 190 205 227 304 328 380 410 454 656 760 779 820 908 1135 1520 1558 1640 1816 2270 3116 3280 3632 3895 4313 4540 6232 7211 7790 8626 9080 9307 12464 14422 15580 17252 18160 18614 21565 28844 31160 34504 36055 37228 43130 46535 57688 62320 69008 72110 74456 86260 93070 115376 137009 144220 148912 172520 176833 186140 274018 288440 295651 345040 353666 372280 548036 576880 591302 685045 707332 744560 884165 1096072 1182604 1370090 1414664 1478255 1636897 1768330 2192144 2365208 2740180 2829328 2956510 3273794 3536660 4730416 5480360 5617369 5913020 6547588 7073320 8184485 10960720 11234738 11826040 13095176 14146640 16368970 22469476 23652080 26190352 28086845 31101043 32737940 44938952 56173690 62202086 65475880 67112777 89877904 112347380 124404172 130951760 134225554 155505215 224694760 248808344 268451108 311010430 335563885 449389520 497616688 536902216 622020860 671127770 1073804432 1244041720 1275142763 1342255540 2488083440 2550285526 2684511080 5100571052 5369022160 6375713815 10201142104 12751427630 20402284208 25502855260 51005710520 102011421040