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1113211000 = 235311175953
BaseRepresentation
bin100001001011010…
…0100000001111000
32212120200222102001
41002112210001320
54234440223000
6302243550344
736405065056
oct10226440170
92776628361
101113211000
115214189a0
1227098b3b4
13149827c45
14a7bbb1d6
1567ae546a
hex425a4078

1113211000 has 128 divisors (see below), whose sum is σ = 3009389760. Its totient is φ = 380928000.

The previous prime is 1113210979. The next prime is 1113211009. The reversal of 1113211000 is 1123111.

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 (1113211009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184024 + ... + 189976.

Almost surely, 21113211000 is an apocalyptic number.

1113211000 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 1113211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504694880).

1113211000 is an abundant number, since it is smaller than the sum of its proper divisors (1896178760).

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

1113211000 is a wasteful number, since it uses less digits than its factorization.

1113211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1113211000 is about 33364.8167985379. The cubic root of 1113211000 is about 1036.3962423404.

Adding to 1113211000 its reverse (1123111), we get a palindrome (1114334111).

The spelling of 1113211000 in words is "one billion, one hundred thirteen million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 680 748 850 935 1000 1100 1375 1496 1700 1870 2125 2200 2750 3400 3740 4250 4675 5500 5953 7480 8500 9350 11000 11906 17000 18700 23375 23812 29765 37400 46750 47624 59530 65483 93500 101201 119060 130966 148825 187000 202402 238120 261932 297650 327415 404804 506005 523864 595300 654830 744125 809608 1012010 1113211 1190600 1309660 1488250 1637075 2024020 2226422 2530025 2619320 2976500 3274150 4048040 4452844 5060050 5566055 5953000 6548300 8185375 8905688 10120100 11132110 12650125 13096600 16370750 20240200 22264220 25300250 27830275 32741500 44528440 50600500 55660550 65483000 101201000 111321100 139151375 222642200 278302750 556605500 1113211000