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1130100000 = 253553767
BaseRepresentation
bin100001101011011…
…1111010100100000
32220202111000202120
41003112333110200
54303301200000
6304045544240
740001456121
oct10326772440
92822430676
101130100000
1152aa03947
12276575080
1315018c333
14aa136048
156932e6a0
hex435bf520

1130100000 has 144 divisors (see below), whose sum is σ = 3708887616. Its totient is φ = 301280000.

The previous prime is 1130099951. The next prime is 1130100001. The reversal of 1130100000 is 10311.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1130100001) 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, 298117 + ... + 301883.

It is an arithmetic number, because the mean of its divisors is an integer number (25756164).

Almost surely, 21130100000 is an apocalyptic number.

1130100000 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 1130100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854443808).

1130100000 is an abundant number, since it is smaller than the sum of its proper divisors (2578787616).

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

1130100000 is an frugal number, since it uses more digits than its factorization.

1130100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1130100000 is about 33616.9600053306. The cubic root of 1130100000 is about 1041.6111614869.

Adding to 1130100000 its reverse (10311), we get a palindrome (1130110311).

The spelling of 1130100000 in words is "one billion, one hundred thirty million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 3767 4000 5000 6000 6250 7500 7534 9375 10000 11301 12000 12500 15000 15068 18750 18835 20000 22602 25000 30000 30136 37500 37670 45204 50000 56505 60000 60272 75000 75340 90408 94175 100000 113010 120544 150000 150680 180816 188350 226020 282525 300000 301360 361632 376700 452040 470875 565050 602720 753400 904080 941750 1130100 1412625 1506800 1808160 1883500 2260200 2354375 2825250 3013600 3767000 4520400 4708750 5650500 7063125 7534000 9040800 9417500 11301000 11771875 14126250 15068000 18835000 22602000 23543750 28252500 35315625 37670000 45204000 47087500 56505000 70631250 75340000 94175000 113010000 141262500 188350000 226020000 282525000 376700000 565050000 1130100000