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2121131311119 = 327173211215507
BaseRepresentation
bin11110110111011101010…
…001110100000000001111
321111210000021210000120100
4132313131101310000033
5234223034103423434
64302233445222143
7306150416442432
oct36673521640017
97453007700510
102121131311119
11748626366777
122a310a701953
13125038c430b2
1474940165819
153a297451699
hex1eddd47400f

2121131311119 has 48 divisors (see below), whose sum is σ = 3164512575744. Its totient is φ = 1368549302400.

The previous prime is 2121131311097. The next prime is 2121131311127. The reversal of 2121131311119 is 9111131311212.

2121131311119 is a `hidden beast` number, since 21 + 211 + 3 + 1 + 311 + 119 = 666.

It is not a de Polignac number, because 2121131311119 - 29 = 2121131310607 is a prime.

It is a super-2 number, since 2×21211313111192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121131311092 and 2121131311101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121131312119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9734764 + ... + 9950270.

It is an arithmetic number, because the mean of its divisors is an integer number (65927345328).

Almost surely, 22121131311119 is an apocalyptic number.

2121131311119 is a deficient number, since it is larger than the sum of its proper divisors (1043381264625).

2121131311119 is a wasteful number, since it uses less digits than its factorization.

2121131311119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215868 (or 215865 counting only the distinct ones).

The product of its digits is 324, while the sum is 27.

The spelling of 2121131311119 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred eleven thousand, one hundred nineteen".

Divisors: 1 3 9 71 73 211 213 219 633 639 657 1899 5183 14981 15403 15549 44943 46209 46647 134829 138627 215507 646521 1093613 1939563 3280839 9842517 15300997 15732011 45471977 45902991 47196033 136415931 137708973 141588099 409247793 1116972781 3228510367 3319454321 3350918343 9685531101 9958362963 10052755029 29056593303 29875088889 235681256791 707043770373 2121131311119