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20131212211000 = 2353111830110201
BaseRepresentation
bin1001001001111001010011…
…10000001011001100111000
32122021112011210101110011021
410210330221300023030320
510114312210311223000
6110452052355112224
74145301130303042
oct444745160131470
978245153343137
1020131212211000
116461665523240
1223116922a2674
13b30499366a87
144d84da714a92
1524d9d434811a
hex124f29c0b338

20131212211000 has 64 divisors (see below), whose sum is σ = 51389494472160. Its totient is φ = 7320440800000.

The previous prime is 20131212210997. The next prime is 20131212211003. The reversal of 20131212211000 is 11221213102.

It is an interprime number because it is at equal distance from previous prime (20131212210997) and next prime (20131212211003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131212211003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915044101 + ... + 915066100.

Almost surely, 220131212211000 is an apocalyptic number.

20131212211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131212211000 is an abundant number, since it is smaller than the sum of its proper divisors (31258282261160).

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

20131212211000 is a wasteful number, since it uses less digits than its factorization.

20131212211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830110233 (or 1830110219 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 20131212211000 its reverse (11221213102), we get a palindrome (20142433424102).

The spelling of 20131212211000 in words is "twenty trillion, one hundred thirty-one billion, two hundred twelve million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 1830110201 3660220402 7320440804 9150551005 14640881608 18301102010 20131212211 36602204020 40262424422 45752755025 73204408040 80524848844 91505510050 100656061055 161049697688 183011020100 201312122110 228763775125 366022040200 402624244220 457527550250 503280305275 805248488440 915055100500 1006560610550 1830110201000 2013121221100 2516401526375 4026242442200 5032803052750 10065606105500 20131212211000