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10020024112104 = 233512774036283
BaseRepresentation
bin1001000111001111011111…
…1110100101001111101000
31022110220102201010112200000
42101303313332211033220
52303132002133041404
633151045135143000
72052631352445006
oct221636776451750
938426381115600
1010020024112104
1132135174318a6
121159b45974a60
13578b65826176
14268d866cda76
1512599cd73339
hex91cf7fa53e8

10020024112104 has 96 divisors (see below), whose sum is σ = 28164705397920. Its totient is φ = 3337391699136.

The previous prime is 10020024112103. The next prime is 10020024112129. The reversal of 10020024112104 is 40121142002001.

10020024112104 is a `hidden beast` number, since 10 + 0 + 200 + 241 + 1 + 210 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10020024112103) 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, 464347 + ... + 4500629.

It is an arithmetic number, because the mean of its divisors is an integer number (293382347895).

Almost surely, 210020024112104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020024112104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14082352698960).

10020024112104 is an abundant number, since it is smaller than the sum of its proper divisors (18144681285816).

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

10020024112104 is a wasteful number, since it uses less digits than its factorization.

10020024112104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037581 (or 4037565 counting only the distinct ones).

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

Adding to 10020024112104 its reverse (40121142002001), we get a palindrome (50141166114105).

The spelling of 10020024112104 in words is "ten trillion, twenty billion, twenty-four million, one hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1277 1944 2554 3831 5108 7662 10216 11493 15324 22986 30648 34479 45972 68958 91944 103437 137916 206874 275832 310311 413748 620622 827496 1241244 2482488 4036283 8072566 12108849 16145132 24217698 32290264 36326547 48435396 72653094 96870792 108979641 145306188 217959282 290612376 326938923 435918564 653877846 871837128 980816769 1307755692 1961633538 2615511384 3923267076 5154333391 7846534152 10308666782 15463000173 20617333564 30926000346 41234667128 46389000519 61852000692 92778001038 123704001384 139167001557 185556002076 278334003114 371112004152 417501004671 556668006228 835002009342 1113336012456 1252503014013 1670004018684 2505006028026 3340008037368 5010012056052 10020024112104