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102123932490 = 23455910691999
BaseRepresentation
bin101111100011100001…
…1111000101101001010
3100202121012012021220000
41133013003320231022
53133122211314430
6114525354143430
710243504050336
oct1370703705512
9322535167800
10102123932490
113a346330008
1217961121b76
139826859928
144d2b17a7c6
1529ca92ce60
hex17c70f8b4a

102123932490 has 160 divisors (see below), whose sum is σ = 279655200000. Its totient is φ = 26733048192.

The previous prime is 102123932483. The next prime is 102123932501. The reversal of 102123932490 is 94239321201.

102123932490 is a `hidden beast` number, since 1 + 0 + 21 + 2 + 393 + 249 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51086511 + ... + 51088509.

It is an arithmetic number, because the mean of its divisors is an integer number (1747845000).

Almost surely, 2102123932490 is an apocalyptic number.

102123932490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123932490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139827600000).

102123932490 is an abundant number, since it is smaller than the sum of its proper divisors (177531267510).

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

102123932490 is a wasteful number, since it uses less digits than its factorization.

102123932490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 102123932490 in words is "one hundred two billion, one hundred twenty-three million, nine hundred thirty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 270 295 354 405 531 590 810 885 1062 1069 1593 1770 1999 2138 2655 3186 3207 3998 4779 5310 5345 5997 6414 7965 9558 9621 9995 10690 11994 15930 16035 17991 19242 19990 23895 28863 29985 32070 35982 47790 48105 53973 57726 59970 63071 86589 89955 96210 107946 117941 126142 144315 161919 173178 179910 189213 235882 269865 288630 315355 323838 353823 378426 432945 539730 567639 589705 630710 707646 809595 865890 946065 1061469 1135278 1179410 1619190 1702917 1769115 1892130 2122938 2136931 2838195 3184407 3405834 3538230 4273862 5108751 5307345 5676390 6368814 6410793 8514585 9553221 10217502 10614690 10684655 12821586 15922035 17029170 19106442 19232379 21369310 25543755 31844070 32053965 38464758 47766105 51087510 57697137 64107930 95532210 96161895 115394274 126078929 173091411 192323790 252157858 288485685 346182822 378236787 576971370 630394645 756473574 865457055 1134710361 1260789290 1730914110 1891183935 2269420722 3404131083 3782367870 5673551805 6808262166 10212393249 11347103610 17020655415 20424786498 34041310830 51061966245 102123932490