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111054125430 = 23251967795929
BaseRepresentation
bin110011101101101010…
…1110111100101110110
3101121122112221002121200
41213123111313211312
53304414324003210
6123003443153330
711011011330303
oct1473325674566
9347575832550
10111054125430
1143109182156
1219633975846
13a61aa08171
1455371c00aa
152d4e91b0c0
hex19db577976

111054125430 has 96 divisors (see below), whose sum is σ = 304389727200. Its totient is φ = 28014045696.

The previous prime is 111054125419. The next prime is 111054125473. The reversal of 111054125430 is 34521450111.

111054125430 is a `hidden beast` number, since 1 + 1 + 105 + 4 + 12 + 543 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 111054125394 and 111054125403.

It is a congruent 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, 1109706 + ... + 1205634.

It is an arithmetic number, because the mean of its divisors is an integer number (3170726325).

Almost surely, 2111054125430 is an apocalyptic number.

111054125430 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 111054125430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152194863600).

111054125430 is an abundant number, since it is smaller than the sum of its proper divisors (193335601770).

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

111054125430 is a wasteful number, since it uses less digits than its factorization.

111054125430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96638 (or 96635 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 111054125430 its reverse (34521450111), we get a palindrome (145575575541).

The spelling of 111054125430 in words is "one hundred eleven billion, fifty-four million, one hundred twenty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 677 855 1354 1710 2031 3385 4062 6093 6770 10155 12186 12863 20310 25726 30465 38589 60930 64315 77178 95929 115767 128630 191858 192945 231534 287787 385890 479645 575574 578835 863361 959290 1157670 1438935 1726722 1822651 2877870 3645302 4316805 5467953 8633610 9113255 10935906 16403859 18226510 27339765 32807718 54679530 64943933 82019295 129887866 164038590 194831799 324719665 389663598 584495397 649439330 974158995 1168990794 1233934727 1948317990 2467869454 2922476985 3701804181 5844953970 6169673635 7403608362 11105412543 12339347270 18509020905 22210825086 37018041810 55527062715 111054125430