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10120411104 = 253196782813
BaseRepresentation
bin10010110110011100…
…10011011111100000
3222010022100011002220
421123032103133200
5131211311123404
64352123311040
7505536034506
oct113316233740
928108304086
1010120411104
114323787721
121b6537b480
13c5392954b
146c0148676
153e37454d9
hex25b3937e0

10120411104 has 96 divisors (see below), whose sum is σ = 28382014080. Its totient is φ = 3148180992.

The previous prime is 10120411057. The next prime is 10120411111. The reversal of 10120411104 is 40111402101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80802 + ... + 163614.

It is an arithmetic number, because the mean of its divisors is an integer number (295645980).

Almost surely, 210120411104 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 10120411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191007040).

10120411104 is an abundant number, since it is smaller than the sum of its proper divisors (18261602976).

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

10120411104 is a wasteful number, since it uses less digits than its factorization.

10120411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82912 (or 82904 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10120411104 its reverse (40111402101), we get a palindrome (50231813205).

The spelling of 10120411104 in words is "ten billion, one hundred twenty million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 67 76 96 114 134 152 201 228 268 304 402 456 536 608 804 912 1072 1273 1608 1824 2144 2546 3216 3819 5092 6432 7638 10184 15276 20368 30552 40736 61104 82813 122208 165626 248439 331252 496878 662504 993756 1325008 1573447 1987512 2650016 3146894 3975024 4720341 5548471 6293788 7950048 9440682 11096942 12587576 16645413 18881364 22193884 25175152 33290826 37762728 44387768 50350304 66581652 75525456 88775536 105420949 133163304 151050912 177551072 210841898 266326608 316262847 421683796 532653216 632525694 843367592 1265051388 1686735184 2530102776 3373470368 5060205552 10120411104