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20121135199 = 1130735316879
BaseRepresentation
bin10010101111010100…
…000010100001011111
31220221021110120111121
4102233110002201133
5312202002311244
613124333431411
71311422553514
oct225724024137
956837416447
1020121135199
118595946760
123a9663b567
131b8880b479
14d8c41930b
157cb6e7c84
hex4af50285f

20121135199 has 16 divisors (see below), whose sum is σ = 22085521920. Its totient is φ = 18179631360.

The previous prime is 20121135143. The next prime is 20121135253. The reversal of 20121135199 is 99153112102.

It is a happy number.

It is not a de Polignac number, because 20121135199 - 215 = 20121102431 is a prime.

It is a super-3 number, since 3×201211351993 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121135119) 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 15 ways as a sum of consecutive naturals, for example, 1183642 + ... + 1200520.

It is an arithmetic number, because the mean of its divisors is an integer number (1380345120).

Almost surely, 220121135199 is an apocalyptic number.

20121135199 is a deficient number, since it is larger than the sum of its proper divisors (1964386721).

20121135199 is a wasteful number, since it uses less digits than its factorization.

20121135199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17550.

The product of its (nonzero) digits is 4860, while the sum is 34.

The spelling of 20121135199 in words is "twenty billion, one hundred twenty-one million, one hundred thirty-five thousand, one hundred ninety-nine".

Divisors: 1 11 307 353 3377 3883 16879 108371 185669 1192081 5181853 5958287 57000383 65541157 1829194109 20121135199