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10233213000 = 233537346727
BaseRepresentation
bin10011000011111001…
…00111000001001000
3222102011121002012220
421201330213001020
5131424200304000
64411233134040
7511405606143
oct114174470110
928364532186
1010233213000
11438142242a
121b970ba320
13c7110302a
146d110d05a
153ed5c81a0
hex261f27048

10233213000 has 128 divisors (see below), whose sum is σ = 32365681920. Its totient is φ = 2691417600.

The previous prime is 10233212989. The next prime is 10233213013. The reversal of 10233213000 is 31233201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195637 + ... + 242363.

It is an arithmetic number, because the mean of its divisors is an integer number (252856890).

Almost surely, 210233213000 is an apocalyptic number.

10233213000 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 10233213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182840960).

10233213000 is an abundant number, since it is smaller than the sum of its proper divisors (22132468920).

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

10233213000 is a wasteful number, since it uses less digits than its factorization.

10233213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46824 (or 46810 counting only the distinct ones).

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

Adding to 10233213000 its reverse (31233201), we get a palindrome (10264446201).

The spelling of 10233213000 in words is "ten billion, two hundred thirty-three million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 125 146 150 200 219 250 292 300 365 375 438 500 584 600 730 750 876 1000 1095 1460 1500 1752 1825 2190 2920 3000 3650 4380 5475 7300 8760 9125 10950 14600 18250 21900 27375 36500 43800 46727 54750 73000 93454 109500 140181 186908 219000 233635 280362 373816 467270 560724 700905 934540 1121448 1168175 1401810 1869080 2336350 2803620 3411071 3504525 4672700 5607240 5840875 6822142 7009050 9345400 10233213 11681750 13644284 14018100 17055355 17522625 20466426 23363500 27288568 28036200 34110710 35045250 40932852 46727000 51166065 68221420 70090500 81865704 85276775 102332130 136442840 140181000 170553550 204664260 255830325 341107100 409328520 426383875 511660650 682214200 852767750 1023321300 1279151625 1705535500 2046642600 2558303250 3411071000 5116606500 10233213000