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11222133000 = 2335313287747
BaseRepresentation
bin10100111001110010…
…00010100100001000
31001222002102102102120
422130321002210020
5140440331224000
65053321131240
7545044361631
oct123471024410
931862372376
1011222133000
114839668691
122212329b20
13109ac60bb0
147865b4888
1545a31b6a0
hex29ce42908

11222133000 has 128 divisors (see below), whose sum is σ = 37706497920. Its totient is φ = 2762361600.

The previous prime is 11222132983. The next prime is 11222133017. The reversal of 11222133000 is 33122211.

It is an interprime number because it is at equal distance from previous prime (11222132983) and next prime (11222133017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104874 + ... + 182873.

It is an arithmetic number, because the mean of its divisors is an integer number (294582015).

Almost surely, 211222133000 is an apocalyptic number.

11222133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222133000 is an abundant number, since it is smaller than the sum of its proper divisors (26484364920).

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

11222133000 is a wasteful number, since it uses less digits than its factorization.

11222133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287784 (or 287770 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11222133000 its reverse (33122211), we get a palindrome (11255255211).

The spelling of 11222133000 in words is "eleven billion, two hundred twenty-two million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 287747 575494 863241 1150988 1438735 1726482 2301976 2877470 3452964 3740711 4316205 5754940 6905928 7193675 7481422 8632410 11222133 11509880 14387350 14962844 17264820 18703555 21581025 22444266 28774700 29925688 34529640 35968375 37407110 43162050 44888532 56110665 57549400 71936750 74814220 86324100 89777064 93517775 107905125 112221330 143873500 149628440 172648200 187035550 215810250 224442660 280553325 287747000 374071100 431620500 448885320 467588875 561106650 748142200 863241000 935177750 1122213300 1402766625 1870355500 2244426600 2805533250 3740711000 5611066500 11222133000