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10200334404 = 22313412935443
BaseRepresentation
bin10010111111111110…
…01100000001000100
3222022212201200021010
421133333030001010
5131342241200104
64404100322220
7510526261161
oct113777140104
928285650233
1010200334404
114364906237
121b880a3370
13c67360a40
146ca9d1068
153ea781489
hex25ffcc044

10200334404 has 96 divisors (see below), whose sum is σ = 26351224704. Its totient is φ = 3051002880.

The previous prime is 10200334327. The next prime is 10200334409. The reversal of 10200334404 is 40443300201.

10200334404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10200334409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1871307 + ... + 1876749.

It is an arithmetic number, because the mean of its divisors is an integer number (274491924).

Almost surely, 210200334404 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 10200334404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175612352).

10200334404 is an abundant number, since it is smaller than the sum of its proper divisors (16150890300).

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

10200334404 is a wasteful number, since it uses less digits than its factorization.

10200334404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10200334404 its reverse (40443300201), we get a palindrome (50643634605).

The spelling of 10200334404 in words is "ten billion, two hundred million, three hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 293 492 533 586 879 1066 1172 1599 1758 2132 3198 3516 3809 5443 6396 7618 10886 11427 12013 15236 16329 21772 22854 24026 32658 36039 45708 48052 65316 70759 72078 141518 144156 156169 212277 223163 283036 312338 424554 446326 468507 624676 669489 849108 892652 937014 1338978 1594799 1874028 2677956 2901119 3189598 4784397 5802238 6379196 8703357 9568794 11604476 17406714 19137588 20732387 34813428 41464774 62197161 65386759 82929548 124394322 130773518 196160277 248788644 261547036 392320554 784641108 850027867 1700055734 2550083601 3400111468 5100167202 10200334404