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20011000131200 = 275213322712539
BaseRepresentation
bin1001000110011001011001…
…00011011110111010000000
32121212000220000011001212102
410203030230203132322000
510110330012013144300
6110320532045045532
74133514144422141
oct443145443367200
977760800131772
1020011000131200
116415687985461
1222b23235568a8
13b2204c256000
144d2775163ac8
1524a7ea94e0d5
hex12332c8dee80

20011000131200 has 384 divisors, whose sum is σ = 53791197768000. Its totient is φ = 7355541073920.

The previous prime is 20011000131163. The next prime is 20011000131211. The reversal of 20011000131200 is 213100011002.

It is a super-3 number, since 3×200110001312003 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1595894531 + ... + 1595907069.

Almost surely, 220011000131200 is an apocalyptic number.

20011000131200 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 20011000131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26895598884000).

20011000131200 is an abundant number, since it is smaller than the sum of its proper divisors (33780197636800).

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

20011000131200 is a wasteful number, since it uses less digits than its factorization.

20011000131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12829 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 20011000131200 its reverse (213100011002), we get a palindrome (20224100142202).

The spelling of 20011000131200 in words is "twenty trillion, eleven billion, one hundred thirty-one thousand, two hundred".