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1100108420 = 2251737157557
BaseRepresentation
bin100000110010010…
…0101001010000100
32211200001022001022
41001210211022010
54223111432140
6301055050312
736155524115
oct10144451204
92750038038
101100108420
11514a89814
12268510998
13146bbb138
14a616a20c
15668a80b5
hex41925284

1100108420 has 96 divisors (see below), whose sum is σ = 2532775392. Its totient is φ = 399679488.

The previous prime is 1100108393. The next prime is 1100108453. The reversal of 1100108420 is 248010011.

It can be written as a sum of positive squares in 16 ways, for example, as 197346304 + 902762116 = 14048^2 + 30046^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1974782 + ... + 1975338.

It is an arithmetic number, because the mean of its divisors is an integer number (26383077).

Almost surely, 21100108420 is an apocalyptic number.

1100108420 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 1100108420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266387696).

1100108420 is an abundant number, since it is smaller than the sum of its proper divisors (1432666972).

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

1100108420 is a wasteful number, since it uses less digits than its factorization.

1100108420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1100108420 is about 33167.8823562795. The cubic root of 1100108420 is about 1032.3140294361.

Adding to 1100108420 its reverse (248010011), we get a palindrome (1348118431).

The spelling of 1100108420 in words is "one billion, one hundred million, one hundred eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 157 170 185 314 340 370 557 628 629 740 785 1114 1258 1570 2228 2516 2669 2785 3140 3145 5338 5570 5809 6290 9469 10676 11140 11618 12580 13345 18938 20609 23236 26690 29045 37876 41218 47345 53380 58090 82436 87449 94690 98753 103045 116180 174898 189380 197506 206090 349796 350353 395012 412180 437245 493765 700706 874490 987530 1401412 1486633 1748980 1751765 1975060 2973266 3235613 3503530 5946532 6471226 7007060 7433165 12942452 14866330 16178065 29732660 32356130 55005421 64712260 110010842 220021684 275027105 550054210 1100108420