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1131001300 = 22521113139569
BaseRepresentation
bin100001101101001…
…1011010111010100
32220211011211010001
41003122123113110
54304014020200
6304121141044
740012231612
oct10332332724
92824154101
101131001300
1153046a020
1227692a784
13150416650
14aa2cc6b2
156945b76a
hex4369b5d4

1131001300 has 144 divisors (see below), whose sum is σ = 2909188800. Its totient is φ = 376243200.

The previous prime is 1131001283. The next prime is 1131001309. The reversal of 1131001300 is 31001311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131001309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987416 + ... + 1987984.

It is an arithmetic number, because the mean of its divisors is an integer number (20202700).

Almost surely, 21131001300 is an apocalyptic number.

1131001300 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 1131001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454594400).

1131001300 is an abundant number, since it is smaller than the sum of its proper divisors (1778187500).

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

1131001300 is a wasteful number, since it uses less digits than its factorization.

1131001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 739 counting only the distinct ones).

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

The square root of 1131001300 is about 33630.3627693785. The cubic root of 1131001300 is about 1041.8879967736.

Adding to 1131001300 its reverse (31001311), we get a palindrome (1162002611).

The spelling of 1131001300 in words is "one billion, one hundred thirty-one million, one thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 139 143 220 260 275 278 286 325 550 556 569 572 650 695 715 1100 1138 1300 1390 1430 1529 1807 2276 2780 2845 2860 3058 3475 3575 3614 5690 6116 6259 6950 7150 7228 7397 7645 9035 11380 12518 13900 14225 14300 14794 15290 18070 19877 25036 28450 29588 30580 31295 36140 36985 38225 39754 45175 56900 62590 73970 76450 79091 79508 81367 90350 99385 125180 147940 152900 156475 158182 162734 180700 184925 198770 312950 316364 325468 369850 395455 397540 406835 496925 625900 739700 790910 813670 870001 993850 1028183 1581820 1627340 1740002 1977275 1987700 2034175 2056366 3480004 3954550 4068350 4112732 4350005 5140915 7909100 8136700 8700010 10281830 11310013 17400020 20563660 21750025 22620026 25704575 43500050 45240052 51409150 56550065 87000100 102818300 113100130 226200260 282750325 565500650 1131001300