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1106753141 = 131511733259
BaseRepresentation
bin100000111110111…
…1011011001110101
32212010112212220002
41001331323121311
54231312100031
6301453321045
736266150354
oct10175733165
92763485802
101106753141
1151880801a
1226a796185
131483a6720
14a6db999b
156726bccb
hex41f7b675

1106753141 has 16 divisors (see below), whose sum is σ = 1207086720. Its totient is φ = 1008676800.

The previous prime is 1106753111. The next prime is 1106753171. The reversal of 1106753141 is 1413576011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1106753111) and next prime (1106753171).

It is a cyclic number.

It is not a de Polignac number, because 1106753141 - 222 = 1102558837 is a prime.

It is a super-2 number, since 2×11067531412 = 2449805030226731762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106753111) 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 15 ways as a sum of consecutive naturals, for example, 337970 + ... + 341228.

It is an arithmetic number, because the mean of its divisors is an integer number (75442920).

Almost surely, 21106753141 is an apocalyptic number.

It is an amenable number.

1106753141 is a deficient number, since it is larger than the sum of its proper divisors (100333579).

1106753141 is a wasteful number, since it uses less digits than its factorization.

1106753141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 1106753141 is about 33267.8995579823. The cubic root of 1106753141 is about 1034.3882717768.

The spelling of 1106753141 in words is "one billion, one hundred six million, seven hundred fifty-three thousand, one hundred forty-one".

Divisors: 1 13 151 173 1963 2249 3259 26123 42367 339599 492109 563807 6397417 7329491 85134857 1106753141