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20110200120 = 2332516722003
BaseRepresentation
bin10010101110101010…
…010100110100111000
31220220111220000101200
4102232222110310320
5312141202400440
613123303214200
71311230611023
oct225652246470
956814800350
1020110200120
11858a757aaa
123a92a47360
131b864800ca
14d8abb01ba
157ca787c30
hex4aea94d38

20110200120 has 144 divisors (see below), whose sum is σ = 65784686760. Its totient is φ = 5327946624.

The previous prime is 20110200119. The next prime is 20110200127. The reversal of 20110200120 is 2100201102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110200127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10039039 + ... + 10041041.

Almost surely, 220110200120 is an apocalyptic number.

20110200120 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 20110200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32892343380).

20110200120 is an abundant number, since it is smaller than the sum of its proper divisors (45674486640).

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

20110200120 is a wasteful number, since it uses less digits than its factorization.

20110200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20110200120 its reverse (2100201102), we get a palindrome (22210401222).

The spelling of 20110200120 in words is "twenty billion, one hundred ten million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 334 360 501 668 835 1002 1336 1503 1670 2003 2004 2505 3006 3340 4006 4008 5010 6009 6012 6680 7515 8012 10015 10020 12018 12024 15030 16024 18027 20030 20040 24036 27889 30045 30060 36054 40060 48072 55778 60090 60120 72108 80120 83667 90135 111556 120180 139445 144216 167334 180270 223112 240360 251001 278890 334501 334668 360540 418335 502002 557780 669002 669336 721080 836670 1003503 1004004 1115560 1255005 1338004 1672505 1673340 2007006 2008008 2510010 2676008 3010509 3345010 3346680 4014012 5017515 5020020 6021018 6690020 8028024 10035030 10040040 12042036 13380040 15052545 20070060 24084072 30105090 40140120 55861667 60210180 111723334 120420360 167585001 223446668 279308335 335170002 446893336 502755003 558616670 670340004 837925005 1005510006 1117233340 1340680008 1675850010 2011020012 2234466680 2513775015 3351700020 4022040024 5027550030 6703400040 10055100060 20110200120