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1105141400 = 235211245667
BaseRepresentation
bin100000111011111…
…0001111010011000
32212000111222222222
41001313301322120
54230404011100
6301355003212
736246355406
oct10167617230
92760458888
101105141400
11517907100
1226a139508
13147c60c2c
14a6aba476
156704e485
hex41df1e98

1105141400 has 72 divisors (see below), whose sum is σ = 2824337460. Its totient is φ = 401860800.

The previous prime is 1105141397. The next prime is 1105141417. The reversal of 1105141400 is 41415011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1367 + ... + 47033.

Almost surely, 21105141400 is an apocalyptic number.

1105141400 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 1105141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412168730).

1105141400 is an abundant number, since it is smaller than the sum of its proper divisors (1719196060).

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

1105141400 is a wasteful number, since it uses less digits than its factorization.

1105141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45705 (or 45685 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1105141400 is about 33243.6670660744. The cubic root of 1105141400 is about 1033.8859086430.

Adding to 1105141400 its reverse (41415011), we get a palindrome (1146556411).

The spelling of 1105141400 in words is "one billion, one hundred five million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 45667 91334 182668 228335 365336 456670 502337 913340 1004674 1141675 1826680 2009348 2283350 2511685 4018696 4566700 5023370 5525707 9133400 10046740 11051414 12558425 20093480 22102828 25116850 27628535 44205656 50233700 55257070 100467400 110514140 138142675 221028280 276285350 552570700 1105141400