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2121310300131 = 35112971385433
BaseRepresentation
bin11110110111100111111…
…100100110011111100011
321111210110202120121100000
4132313213330212133203
5234223420414101011
64302303321431043
7306155022020331
oct36674774463743
97453422517300
102121310300131
117487083a8880
122a315a63b483
13125067051a59
1474959c38b51
153a2a800a356
hex1ede7f267e3

2121310300131 has 96 divisors (see below), whose sum is σ = 3636523537920. Its totient is φ = 1223823686400.

The previous prime is 2121310300091. The next prime is 2121310300139. The reversal of 2121310300131 is 1310030131212.

2121310300131 is a `hidden beast` number, since 2 + 1 + 21 + 310 + 300 + 1 + 31 = 666.

It is not a de Polignac number, because 2121310300131 - 213 = 2121310291939 is a prime.

It is a super-2 number, since 2×21213103001312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121310300139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5310991 + ... + 5696423.

It is an arithmetic number, because the mean of its divisors is an integer number (37880453520).

Almost surely, 22121310300131 is an apocalyptic number.

2121310300131 is a deficient number, since it is larger than the sum of its proper divisors (1515213237789).

2121310300131 is a wasteful number, since it uses less digits than its factorization.

2121310300131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385559 (or 385547 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2121310300131 its reverse (1310030131212), we get a palindrome (3431340431343).

The spelling of 2121310300131 in words is "two trillion, one hundred twenty-one billion, three hundred ten million, three hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 29 33 71 81 87 99 213 243 261 297 319 639 781 783 891 957 1917 2059 2343 2349 2673 2871 5751 6177 7029 7047 8613 17253 18531 21087 22649 25839 55593 63261 67947 77517 166779 189783 203841 385433 500337 611523 1156299 1834569 3468897 4239763 5503707 10406691 11177557 12719289 27365743 31220073 33532671 38157867 82097229 93660219 100598013 114473601 122953127 246291687 301023173 301794039 343420803 368859381 738875061 793606547 903069519 905382117 1030262409 1106578143 2216625183 2380819641 2709208557 2716146351 3319734429 6649875549 7142458923 8127625671 8729672017 9959203287 21427376769 24382877013 26189016051 29877609861 64282130307 73148631039 78567048153 192846390921 235701144459 707103433377 2121310300131