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10100041050 = 23521113146727
BaseRepresentation
bin10010110100000001…
…00110010101011010
3222001220000020122110
421122000212111122
5131141102303200
64350114533150
7505200634551
oct113200462532
928056006573
1010100041050
114313234370
121b5a5971b6
13c4c646868
146bb564d98
153e1a6eb50
hex25a02655a

10100041050 has 96 divisors (see below), whose sum is σ = 27534380544. Its totient is φ = 2429752000.

The previous prime is 10100041019. The next prime is 10100041057. The reversal of 10100041050 is 5014000101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10100041057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192787 + ... + 239513.

It is an arithmetic number, because the mean of its divisors is an integer number (286816464).

Almost surely, 210100041050 is an apocalyptic number.

10100041050 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 10100041050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13767190272).

10100041050 is an abundant number, since it is smaller than the sum of its proper divisors (17434339494).

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

10100041050 is a wasteful number, since it uses less digits than its factorization.

10100041050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46884 (or 46879 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 10100041050 its reverse (5014000101), we get a palindrome (15114041151).

The spelling of 10100041050 in words is "ten billion, one hundred million, forty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 131 150 165 262 275 330 393 550 655 786 825 1310 1441 1650 1965 2882 3275 3930 4323 6550 7205 8646 9825 14410 19650 21615 36025 43230 46727 72050 93454 108075 140181 216150 233635 280362 467270 513997 700905 1027994 1168175 1401810 1541991 2336350 2569985 3083982 3504525 5139970 6121237 7009050 7709955 12242474 12849925 15419910 18363711 25699850 30606185 36727422 38549775 61212370 67333607 77099550 91818555 134667214 153030925 183637110 202000821 306061850 336668035 404001642 459092775 673336070 918185550 1010004105 1683340175 2020008210 3366680350 5050020525 10100041050