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11332011000 = 2335329130253
BaseRepresentation
bin10101000110111000…
…01100001111111000
31002020202011210201010
422203130030033320
5141201443323000
65112244153520
7550550334642
oct124334141770
932222153633
1011332011000
114895696652
1222430988a0
1310b795286b
14797017892
15464cc2d50
hex2a370c3f8

11332011000 has 128 divisors (see below), whose sum is σ = 36575323200. Its totient is φ = 2917644800.

The previous prime is 11332010993. The next prime is 11332011007. The reversal of 11332011000 is 11023311.

11332011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11332010993) and next prime (11332011007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21874 + ... + 152126.

Almost surely, 211332011000 is an apocalyptic number.

11332011000 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 11332011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18287661600).

11332011000 is an abundant number, since it is smaller than the sum of its proper divisors (25243312200).

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

11332011000 is a wasteful number, since it uses less digits than its factorization.

11332011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130306 (or 130292 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11332011000 its reverse (11023311), we get a palindrome (11343034311).

The spelling of 11332011000 in words is "eleven billion, three hundred thirty-two million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 87000 130253 260506 390759 521012 651265 781518 1042024 1302530 1563036 1953795 2605060 3126072 3256325 3777337 3907590 5210120 6512650 7554674 7815180 9768975 11332011 13025300 15109348 15630360 16281625 18886685 19537950 22664022 26050600 30218696 32563250 37773370 39075900 45328044 48844875 56660055 65126500 75546740 78151800 90656088 94433425 97689750 113320110 130253000 151093480 188866850 195379500 226640220 283300275 377733700 390759000 453280440 472167125 566600550 755467400 944334250 1133201100 1416501375 1888668500 2266402200 2833002750 3777337000 5666005500 11332011000