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10044213000 = 2335311093019
BaseRepresentation
bin10010101101010111…
…01000011100001000
3221220222221212221220
421112223220130020
5131032304304000
64340402202040
7503622254553
oct112653503410
927828855856
1010044213000
114294772988
121b43953320
13c40bca803
146b3d9169a
153dbbe31a0
hex256ae8708

10044213000 has 128 divisors (see below), whose sum is σ = 31376592000. Its totient is φ = 2675155200.

The previous prime is 10044212989. The next prime is 10044213031. The reversal of 10044213000 is 31244001.

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, 3325491 + ... + 3328509.

It is an arithmetic number, because the mean of its divisors is an integer number (245129625).

Almost surely, 210044213000 is an apocalyptic number.

10044213000 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 10044213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15688296000).

10044213000 is an abundant number, since it is smaller than the sum of its proper divisors (21332379000).

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

10044213000 is a wasteful number, since it uses less digits than its factorization.

10044213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10044213000 its reverse (31244001), we get a palindrome (10075457001).

The spelling of 10044213000 in words is "ten billion, forty-four million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1109 1500 2218 3000 3019 3327 4436 5545 6038 6654 8872 9057 11090 12076 13308 15095 16635 18114 22180 24152 26616 27725 30190 33270 36228 44360 45285 55450 60380 66540 72456 75475 83175 90570 110900 120760 133080 138625 150950 166350 181140 221800 226425 277250 301900 332700 362280 377375 415875 452850 554500 603800 665400 754750 831750 905700 1109000 1132125 1509500 1663500 1811400 2264250 3019000 3327000 3348071 4528500 6696142 9057000 10044213 13392284 16740355 20088426 26784568 33480710 40176852 50221065 66961420 80353704 83701775 100442130 133922840 167403550 200884260 251105325 334807100 401768520 418508875 502210650 669614200 837017750 1004421300 1255526625 1674035500 2008842600 2511053250 3348071000 5022106500 10044213000