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2111333033121 = 3132983121718481
BaseRepresentation
bin11110101110010101010…
…000010110010010100001
321110211201102120221000020
4132232111100112102201
5234043002224024441
64253533310144053
7305352541446324
oct36562520262241
97424642527006
102111333033121
11744458500464
122a12351b2029
13124136c93970
1474290b127bb
1539dc213ce66
hex1eb954164a1

2111333033121 has 64 divisors (see below), whose sum is σ = 3176763045120. Its totient is φ = 1238279454720.

The previous prime is 2111333033101. The next prime is 2111333033213. The reversal of 2111333033121 is 1213303331112.

It is not a de Polignac number, because 2111333033121 - 29 = 2111333032609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111333033091 and 2111333033100.

It is not an unprimeable number, because it can be changed into a prime (2111333033101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114234201 + ... + 114252681.

It is an arithmetic number, because the mean of its divisors is an integer number (49636922580).

Almost surely, 22111333033121 is an apocalyptic number.

It is an amenable number.

2111333033121 is a deficient number, since it is larger than the sum of its proper divisors (1065430011999).

2111333033121 is a wasteful number, since it uses less digits than its factorization.

2111333033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19826.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 2111333033121 its reverse (1213303331112), we get a palindrome (3324636364233).

The spelling of 2111333033121 in words is "two trillion, one hundred eleven billion, three hundred thirty-three million, thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 13 29 39 83 87 249 377 1079 1131 1217 2407 3237 3651 7221 15821 18481 31291 35293 47463 55443 93873 101011 105879 240253 303033 458809 535949 720759 1313143 1376427 1533923 1607847 2929319 3939429 4601769 6967337 8787957 19940999 20902011 22491377 38081147 44483767 59822997 67474131 114243441 133451301 292387901 578288971 652249933 877163703 1734866913 1866784291 1956749799 5600352873 8479249129 24268195783 25437747387 54136744439 72804587349 162410233317 703777677707 2111333033121