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1123404100 = 2252713413011
BaseRepresentation
bin100001011110101…
…1100100101000100
32220021212211201021
41002331130211010
54300042412400
6303250240524
736560530420
oct10275344504
92807784637
101123404100
11527150145
12274286144
1314b986670
14a92b1b80
156895a71a
hex42f5c944

1123404100 has 144 divisors (see below), whose sum is σ = 3074553216. Its totient is φ = 346752000.

The previous prime is 1123404067. The next prime is 1123404151. The reversal of 1123404100 is 14043211.

It is a super-3 number, since 3×11234041003 (a number of 28 digits) contains 333 as substring.

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, 371595 + ... + 374605.

It is an arithmetic number, because the mean of its divisors is an integer number (21351064).

Almost surely, 21123404100 is an apocalyptic number.

1123404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537276608).

1123404100 is an abundant number, since it is smaller than the sum of its proper divisors (1951149116).

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

1123404100 is a wasteful number, since it uses less digits than its factorization.

1123404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1123404100 is about 33517.2209468506. The cubic root of 1123404100 is about 1039.5498853455.

Adding to 1123404100 its reverse (14043211), we get a palindrome (1137447311).

The spelling of 1123404100 in words is "one billion, one hundred twenty-three million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 41 50 52 65 70 82 91 100 130 140 164 175 182 205 260 287 325 350 364 410 455 533 574 650 700 820 910 1025 1066 1148 1300 1435 1820 2050 2132 2275 2665 2870 3011 3731 4100 4550 5330 5740 6022 7175 7462 9100 10660 12044 13325 14350 14924 15055 18655 21077 26650 28700 30110 37310 39143 42154 53300 60220 74620 75275 78286 84308 93275 105385 123451 150550 156572 186550 195715 210770 246902 274001 301100 373100 391430 421540 493804 526925 548002 617255 782860 864157 978575 1053850 1096004 1234510 1370005 1604863 1728314 1957150 2107700 2469020 2740010 3086275 3209726 3456628 3914300 4320785 5480020 6172550 6419452 6850025 8024315 8641570 11234041 12345100 13700050 16048630 17283140 21603925 22468082 27400100 32097260 40121575 43207850 44936164 56170205 80243150 86415700 112340410 160486300 224680820 280851025 561702050 1123404100