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11233002000 = 2435311170197
BaseRepresentation
bin10100111011000101…
…00000001000010000
31001222211212121220010
422131202200020100
5141001122031000
65054350114520
7545235640653
oct123542401020
931884777803
1011233002000
114844811730
122215aaba40
1310a029815c
14787c0389a
1545b266d50
hex29d8a0210

11233002000 has 160 divisors (see below), whose sum is σ = 39507721344. Its totient is φ = 2723136000.

The previous prime is 11233001999. The next prime is 11233002029. The reversal of 11233002000 is 20033211.

It is a happy number.

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

It is an unprimeable number.

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, 19099 + ... + 151098.

Almost surely, 211233002000 is an apocalyptic number.

11233002000 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 11233002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19753860672).

11233002000 is an abundant number, since it is smaller than the sum of its proper divisors (28274719344).

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

11233002000 is a wasteful number, since it uses less digits than its factorization.

11233002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170234 (or 170218 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11233002000 its reverse (20033211), we get a palindrome (11253035211).

The spelling of 11233002000 in words is "eleven billion, two hundred thirty-three million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 170197 340394 510591 680788 850985 1021182 1361576 1701970 1872167 2042364 2552955 2723152 3403940 3744334 4084728 4254925 5105910 5616501 6807880 7488668 8169456 8509850 9360835 10211820 11233002 12764775 13615760 14977336 17019700 18721670 20423640 21274625 22466004 25529550 28082505 29954672 34039400 37443340 40847280 42549250 44932008 46804175 51059100 56165010 63823875 68078800 74886680 85098500 89864016 93608350 102118200 112330020 127647750 140412525 149773360 170197000 187216700 204236400 224660040 234020875 255295500 280825050 340394000 374433400 449320080 468041750 510591000 561650100 702062625 748866800 936083500 1021182000 1123300200 1404125250 1872167000 2246600400 2808250500 3744334000 5616501000 11233002000