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10044120000 = 2635483701
BaseRepresentation
bin10010101101010110…
…10001101111000000
3221220222210011101110
421112223101233000
5131032243320000
64340400203320
7503621416455
oct112653215700
927828704343
1010044120000
11429470a022
121b43909540
13c40b97395
146b3d6982c
153dbbc5850
hex256ad1bc0

10044120000 has 140 divisors (see below), whose sum is σ = 33208601096. Its totient is φ = 2678400000.

The previous prime is 10044119947. The next prime is 10044120029. The reversal of 10044120000 is 2144001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78150 + ... + 161850.

Almost surely, 210044120000 is an apocalyptic number.

10044120000 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 10044120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604300548).

10044120000 is an abundant number, since it is smaller than the sum of its proper divisors (23164481096).

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

10044120000 is an frugal number, since it uses more digits than its factorization.

10044120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83736 (or 83711 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10044120000 its reverse (2144001), we get a palindrome (10046264001).

The spelling of 10044120000 in words is "ten billion, forty-four million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 83701 120000 167402 251103 334804 418505 502206 669608 837010 1004412 1255515 1339216 1674020 2008824 2092525 2511030 2678432 3348040 4017648 4185050 5022060 5356864 6277575 6696080 8035296 8370100 10044120 10462625 12555150 13392160 16070592 16740200 20088240 20925250 25110300 26784320 31387875 33480400 40176480 41850500 50220600 52313125 62775750 66960800 80352960 83701000 100441200 104626250 125551500 133921600 156939375 167402000 200882400 209252500 251103000 313878750 334804000 401764800 418505000 502206000 627757500 669608000 837010000 1004412000 1255515000 1674020000 2008824000 2511030000 3348040000 5022060000 10044120000