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1131300100 = 2252710914827
BaseRepresentation
bin100001101101110…
…0100010100000100
32220211201222222201
41003123210110010
54304103100400
6304131404244
740014615010
oct10333442404
92824658881
101131300100
11530653567
12276a53684
131504bc658
14aa369540
15694ba06a
hex436e4504

1131300100 has 72 divisors (see below), whose sum is σ = 2831554880. Its totient is φ = 384289920.

The previous prime is 1131300097. The next prime is 1131300101. The reversal of 1131300100 is 10031311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1131300101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68887 + ... + 83713.

Almost surely, 21131300100 is an apocalyptic number.

1131300100 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 1131300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415777440).

1131300100 is an abundant number, since it is smaller than the sum of its proper divisors (1700254780).

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

1131300100 is a wasteful number, since it uses less digits than its factorization.

1131300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14957 (or 14950 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1131300100 is about 33634.8048901729. The cubic root of 1131300100 is about 1041.9797410601.

Adding to 1131300100 its reverse (10031311), we get a palindrome (1141331411).

The spelling of 1131300100 in words is "one billion, one hundred thirty-one million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 109 140 175 218 350 436 545 700 763 1090 1526 2180 2725 3052 3815 5450 7630 10900 14827 15260 19075 29654 38150 59308 74135 76300 103789 148270 207578 296540 370675 415156 518945 741350 1037890 1482700 1616143 2075780 2594725 3232286 5189450 6464572 8080715 10378900 11313001 16161430 22626002 32322860 40403575 45252004 56565005 80807150 113130010 161614300 226260020 282825025 565650050 1131300100