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20111972120 = 2352950334469
BaseRepresentation
bin10010101110110001…
…000101011100011000
31220220122020001010022
4102232301011130120
5312142131101440
613123405210012
71311251641142
oct225661053430
956818201108
1020111972120
118590758369
123a93560908
131b86950826
14d8b111c92
157ca9d7cb5
hex4aec45718

20111972120 has 64 divisors (see below), whose sum is σ = 46906776000. Its totient is φ = 7751715328.

The previous prime is 20111972117. The next prime is 20111972189. The reversal of 20111972120 is 2127911102.

It is a self number, because there is not a number n which added to its sum of digits gives 20111972120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566246 + ... + 600714.

It is an arithmetic number, because the mean of its divisors is an integer number (732918375).

Almost surely, 220111972120 is an apocalyptic number.

20111972120 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 20111972120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23453388000).

20111972120 is an abundant number, since it is smaller than the sum of its proper divisors (26794803880).

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

20111972120 is a wasteful number, since it uses less digits than its factorization.

20111972120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35012 (or 35008 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 26.

The spelling of 20111972120 in words is "twenty billion, one hundred eleven million, nine hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 503 580 1006 1160 2012 2515 4024 5030 10060 14587 20120 29174 34469 58348 68938 72935 116696 137876 145870 172345 275752 291740 344690 583480 689380 999601 1378760 1999202 3998404 4998005 7996808 9996010 17337907 19992020 34675814 39984040 69351628 86689535 138703256 173379070 346758140 502799303 693516280 1005598606 2011197212 2513996515 4022394424 5027993030 10055986060 20111972120