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20041312000 = 2853718821
BaseRepresentation
bin10010101010100011…
…100010011100000000
31220201201021010122211
4102222203202130000
5312021033441000
613112402511504
71306433225023
oct225243423400
956651233584
1020041312000
118554886376
123a73965594
131b751106c8
14d8199b1ba
157c46cb7ba
hex4aa8e2700

20041312000 has 144 divisors (see below), whose sum is σ = 50634327744. Its totient is φ = 7902720000.

The previous prime is 20041311977. The next prime is 20041312003. The reversal of 20041312000 is 21314002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20041312003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2267590 + ... + 2276410.

It is an arithmetic number, because the mean of its divisors is an integer number (351627276).

Almost surely, 220041312000 is an apocalyptic number.

20041312000 is a gapful number since it is divisible by the number (20) 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 20041312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25317163872).

20041312000 is an abundant number, since it is smaller than the sum of its proper divisors (30593015744).

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

20041312000 is an frugal number, since it uses more digits than its factorization.

20041312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8923 (or 8899 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20041312000 its reverse (21314002), we get a palindrome (20062626002).

The spelling of 20041312000 in words is "twenty billion, forty-one million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 128 142 160 200 250 256 284 320 355 400 500 568 640 710 800 1000 1136 1280 1420 1600 1775 2000 2272 2840 3200 3550 4000 4544 5680 6400 7100 8000 8821 8875 9088 11360 14200 16000 17642 17750 18176 22720 28400 32000 35284 35500 44105 45440 56800 70568 71000 88210 90880 113600 141136 142000 176420 220525 227200 282272 284000 352840 441050 454400 564544 568000 626291 705680 882100 1102625 1129088 1136000 1252582 1411360 1764200 2205250 2258176 2272000 2505164 2822720 3131455 3528400 4410500 5010328 5645440 6262910 7056800 8821000 10020656 11290880 12525820 14113600 15657275 17642000 20041312 25051640 28227200 31314550 35284000 40082624 50103280 56454400 62629100 70568000 78286375 80165248 100206560 125258200 141136000 156572750 160330496 200413120 250516400 282272000 313145500 400826240 501032800 626291000 801652480 1002065600 1252582000 2004131200 2505164000 4008262400 5010328000 10020656000 20041312000