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1121040401211 = 322919319222329
BaseRepresentation
bin10000010100000011001…
…101110000001100111011
310222011121020021220010200
4100110003031300030323
5121331342320314321
62214555430213243
7143664266121063
oct20240315601473
93864536256120
101121040401211
113a2481098925
121613221b4223
1381937b97413
143c389a163a3
151e262c2dd26
hex1050337033b

1121040401211 has 24 divisors (see below), whose sum is σ = 1675212084000. Its totient is φ = 721548627072.

The previous prime is 1121040401191. The next prime is 1121040401227.

1121040401211 is a `hidden beast` number, since 1 + 1 + 2 + 10 + 40 + 401 + 211 = 666.

1121040401211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1121040401211 - 210 = 1121040400187 is a prime.

It is a super-2 number, since 2×11210404012112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1121040401231) 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 23 ways as a sum of consecutive naturals, for example, 4931095 + ... + 5153423.

It is an arithmetic number, because the mean of its divisors is an integer number (69800503500).

Almost surely, 21121040401211 is an apocalyptic number.

1121040401211 is a deficient number, since it is larger than the sum of its proper divisors (554171682789).

1121040401211 is a wasteful number, since it uses less digits than its factorization.

1121040401211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241683 (or 241680 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1121040 and 401211, that added together give a palindrome (1522251).

The spelling of 1121040401211 in words is "one trillion, one hundred twenty-one billion, forty million, four hundred one thousand, two hundred eleven".

Divisors: 1 3 9 29 87 261 19319 57957 173871 222329 560251 666987 1680753 2000961 5042259 6447541 19342623 58027869 4295173951 12885521853 38656565559 124560044579 373680133737 1121040401211