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102411420210 = 232511201751287
BaseRepresentation
bin101111101100000110…
…0100100001000110010
3100210100020011011220100
41133120030210020302
53134214310421320
6115014104053230
710253564465061
oct1373014441062
9323306134810
10102411420210
113a483638870
1217a21464216
1398712964c8
144d574141d8
1529e5cb9790
hex17d8324232

102411420210 has 96 divisors (see below), whose sum is σ = 290625708672. Its totient is φ = 24814218240.

The previous prime is 102411420203. The next prime is 102411420227. The reversal of 102411420210 is 12024114201.

102411420210 is a `hidden beast` number, since 1 + 0 + 2 + 411 + 42 + 0 + 210 = 666.

It is a super-3 number, since 3×1024114202103 (a number of 34 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1971187 + ... + 2022473.

It is an arithmetic number, because the mean of its divisors is an integer number (3027351132).

Almost surely, 2102411420210 is an apocalyptic number.

102411420210 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 102411420210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145312854336).

102411420210 is an abundant number, since it is smaller than the sum of its proper divisors (188214288462).

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

102411420210 is a wasteful number, since it uses less digits than its factorization.

102411420210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53328 (or 53325 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102411420210 its reverse (12024114201), we get a palindrome (114435534411).

The spelling of 102411420210 in words is "one hundred two billion, four hundred eleven million, four hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2017 4034 6051 10085 12102 18153 20170 22187 30255 36306 44374 51287 60510 66561 90765 102574 110935 133122 153861 181530 199683 221870 256435 307722 332805 399366 461583 512870 564157 665610 769305 923166 998415 1128314 1538610 1692471 1996830 2307915 2820785 3384942 4615830 5077413 5641570 8462355 10154826 16924710 25387065 50774130 103445879 206891758 310337637 517229395 620675274 931012911 1034458790 1137904669 1551688185 1862025822 2275809338 3103376370 3413714007 4655064555 5689523345 6827428014 9310129110 10241142021 11379046690 17068570035 20482284042 34137140070 51205710105 102411420210