Search a number
-
+
2106334573101 = 3211131480133829
BaseRepresentation
bin11110101001101011010…
…100101111001000101101
321110100211002002211220100
4132221223110233020231
5234002233122314401
64251345311541313
7305114635314513
oct36515324571055
97410732084810
102106334573101
11742322a55470
122a027b22a839
1312381b554005
1473d38d324b3
1539bcd3dcb86
hex1ea6b52f22d

2106334573101 has 48 divisors (see below), whose sum is σ = 3345204582720. Its totient is φ = 1266520320000.

The previous prime is 2106334573097. The next prime is 2106334573117. The reversal of 2106334573101 is 1013754336012.

2106334573101 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 334 + 5 + 7 + 310 + 1 = 666.

It is not a de Polignac number, because 2106334573101 - 22 = 2106334573097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106334573141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62247255 + ... + 62281083.

It is an arithmetic number, because the mean of its divisors is an integer number (69691762140).

Almost surely, 22106334573101 is an apocalyptic number.

It is an amenable number.

2106334573101 is a deficient number, since it is larger than the sum of its proper divisors (1238870009619).

2106334573101 is a wasteful number, since it uses less digits than its factorization.

2106334573101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38778 (or 38775 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 2106334573101 in words is "two trillion, one hundred six billion, three hundred thirty-four million, five hundred seventy-three thousand, one hundred one".

Divisors: 1 3 9 11 33 99 131 393 1179 1441 4323 4801 12969 14403 33829 43209 52811 101487 158433 304461 372119 475299 628931 1116357 1886793 3349071 4431599 5660379 6918241 13294797 20754723 39884391 48747589 62264169 146242767 162413029 438728301 487239087 1461717261 1786543319 5359629957 16078889871 21276106799 63828320397 191484961191 234037174789 702111524367 2106334573101