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20120009980 = 22573122320789
BaseRepresentation
bin10010101111001111…
…101111110011111100
31220221012100101222211
4102233033233303330
5312201210304410
613124253350204
71311410156140
oct225717576374
956835311884
1020120009980
118595248324
123a96198364
131b88506265
14d8c205220
157cb57468a
hex4af3efcfc

20120009980 has 96 divisors (see below), whose sum is σ = 50071633920. Its totient is φ = 6645507840.

The previous prime is 20120009953. The next prime is 20120009981. The reversal of 20120009980 is 8990002102.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120009981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957426 + ... + 978214.

It is an arithmetic number, because the mean of its divisors is an integer number (521579520).

Almost surely, 220120009980 is an apocalyptic number.

20120009980 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 20120009980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25035816960).

20120009980 is an abundant number, since it is smaller than the sum of its proper divisors (29951623940).

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

20120009980 is a wasteful number, since it uses less digits than its factorization.

20120009980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21059 (or 21057 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 20120009980 in words is "twenty billion, one hundred twenty million, nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 223 310 434 446 620 868 892 1085 1115 1561 2170 2230 3122 4340 4460 6244 6913 7805 13826 15610 20789 27652 31220 34565 41578 48391 69130 83156 96782 103945 138260 145523 193564 207890 241955 291046 415780 483910 582092 644459 727615 967820 1288918 1455230 2577836 2910460 3222295 4511213 4635947 6444590 9022426 9271894 12889180 18044852 18543788 22556065 23179735 32451629 45112130 46359470 64903258 90224260 92718940 129806516 143714357 162258145 287428714 324516290 574857428 649032580 718571785 1006000499 1437143570 2012000998 2874287140 4024001996 5030002495 10060004990 20120009980