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1220133000 = 233533171283
BaseRepresentation
bin100100010111001…
…1100000010001000
310011000220011211010
41020232130002020
54444323224000
6321023403520
742143650032
oct11056340210
93130804733
101220133000
11576807a89
122a07535a0
13165a232b8
14b8090c52
15721b5d50
hex48b9c088

1220133000 has 128 divisors (see below), whose sum is σ = 3821800320. Its totient is φ = 324089600.

The previous prime is 1220132987. The next prime is 1220133017. The reversal of 1220133000 is 3310221.

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, 950359 + ... + 951641.

It is an arithmetic number, because the mean of its divisors is an integer number (29857815).

Almost surely, 21220133000 is an apocalyptic number.

1220133000 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 1220133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910900160).

1220133000 is an abundant number, since it is smaller than the sum of its proper divisors (2601667320).

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

1220133000 is a wasteful number, since it uses less digits than its factorization.

1220133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1610 counting only the distinct ones).

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

The square root of 1220133000 is about 34930.4022307216. The cubic root of 1220133000 is about 1068.5685578238.

Adding to 1220133000 its reverse (3310221), we get a palindrome (1223443221).

The spelling of 1220133000 in words is "one billion, two hundred twenty million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 317 375 500 600 634 750 951 1000 1268 1283 1500 1585 1902 2536 2566 3000 3170 3804 3849 4755 5132 6340 6415 7608 7698 7925 9510 10264 12680 12830 15396 15850 19020 19245 23775 25660 30792 31700 32075 38040 38490 39625 47550 51320 63400 64150 76980 79250 95100 96225 118875 128300 153960 158500 160375 190200 192450 237750 256600 317000 320750 384900 406711 475500 481125 641500 769800 813422 951000 962250 1220133 1283000 1626844 1924500 2033555 2440266 3253688 3849000 4067110 4880532 6100665 8134220 9761064 10167775 12201330 16268440 20335550 24402660 30503325 40671100 48805320 50838875 61006650 81342200 101677750 122013300 152516625 203355500 244026600 305033250 406711000 610066500 1220133000