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1106455233041 = 414737324127
BaseRepresentation
bin10000000110011101110…
…111110000001000010001
310220202221202201120201222
4100012131313300020101
5121112010014424131
62204144251334425
7142636664205644
oct20063567601021
93822852646658
101106455233041
11397277152134
1215a531751415
13804522838b2
143b7a4937a5b
151dbac55c87b
hex1019ddf0211

1106455233041 has 24 divisors (see below), whose sum is σ = 1160950662144. Its totient is φ = 1053413351040.

The previous prime is 1106455233017. The next prime is 1106455233047. The reversal of 1106455233041 is 1403325546011.

It is not a de Polignac number, because 1106455233041 - 26 = 1106455232977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1106455232992 and 1106455233010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106455233047) 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, 268099520 + ... + 268103646.

It is an arithmetic number, because the mean of its divisors is an integer number (48372944256).

Almost surely, 21106455233041 is an apocalyptic number.

It is an amenable number.

1106455233041 is a deficient number, since it is larger than the sum of its proper divisors (54495429103).

1106455233041 is an frugal number, since it uses more digits than its factorization.

1106455233041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 1106455233041 in words is "one trillion, one hundred six billion, four hundred fifty-five million, two hundred thirty-three thousand, forty-one".

Divisors: 1 41 47 373 1927 4127 15293 17531 139129 169207 193969 718771 1539371 5704289 6539063 7952729 63114211 72350437 268101583 574185383 2966367917 23541600703 26986713001 1106455233041