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1213233000 = 23353757773
BaseRepresentation
bin100100001010000…
…0111011101101000
310010112220121210120
41020110013131220
54441041424000
6320215443240
742031211310
oct11024073550
93115817716
101213233000
11572924a01
1229a386520
13164478765
14b71b6440
15717a16a0
hex48507768

1213233000 has 128 divisors (see below), whose sum is σ = 4326117120. Its totient is φ = 277305600.

The previous prime is 1213232987. The next prime is 1213233023. The reversal of 1213233000 is 3323121.

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, 7887 + ... + 49886.

It is an arithmetic number, because the mean of its divisors is an integer number (33797790).

Almost surely, 21213233000 is an apocalyptic number.

1213233000 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 1213233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163058560).

1213233000 is an abundant number, since it is smaller than the sum of its proper divisors (3112884120).

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

1213233000 is a wasteful number, since it uses less digits than its factorization.

1213233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57804 (or 57790 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1213233000 is about 34831.4943693204. The cubic root of 1213233000 is about 1066.5504539190.

Adding to 1213233000 its reverse (3323121), we get a palindrome (1216556121).

The spelling of 1213233000 in words is "one billion, two hundred thirteen million, two hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 57773 115546 173319 231092 288865 346638 404411 462184 577730 693276 808822 866595 1155460 1213233 1386552 1444325 1617644 1733190 2022055 2310920 2426466 2888650 3235288 3466380 4044110 4332975 4852932 5777300 6066165 6932760 7221625 8088220 8665950 9705864 10110275 11554600 12132330 14443250 16176440 17331900 20220550 21664875 24264660 28886500 30330825 34663800 40441100 43329750 48529320 50551375 57773000 60661650 80882200 86659500 101102750 121323300 151654125 173319000 202205500 242646600 303308250 404411000 606616500 1213233000