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20011001320200 = 233521121914507033
BaseRepresentation
bin1001000110011001011001…
…01000000001001100001000
32121212000220002101110212110
410203030230220001030020
510110330012314221300
6110320532130342320
74133514160503462
oct443145450011410
977760802343773
1020011001320200
116415688617800
1222b2323a2a9a0
13b2204c581267
144d2775393132
1524a7eaad6550
hex12332ca01308

20011001320200 has 288 divisors, whose sum is σ = 71775001418400. Its totient is φ = 4595827737600.

The previous prime is 20011001320151. The next prime is 20011001320229. The reversal of 20011001320200 is 202310011002.

It is a super-2 number, since 2×200110013202002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5874117 + ... + 8632916.

It is an arithmetic number, because the mean of its divisors is an integer number (249218754925).

Almost surely, 220011001320200 is an apocalyptic number.

20011001320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011001320200 is an abundant number, since it is smaller than the sum of its proper divisors (51764000098200).

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

20011001320200 is a wasteful number, since it uses less digits than its factorization.

20011001320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14507093 (or 14507073 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20011001320200 its reverse (202310011002), we get a palindrome (20213311331202).

The spelling of 20011001320200 in words is "twenty trillion, eleven billion, one million, three hundred twenty thousand, two hundred".