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117533204546021 = 1129714967207417
BaseRepresentation
bin11010101110010101010100…
…111010000000000111100101
3120102011001202002221011211122
4122232111110322000013211
5110401131000330433041
61053550001521143325
733520331242611155
oct3256252472000745
9512131662834748
10117533204546021
11344a4608977900
121122288048ab45
135077444cb0704
1421048cd254765
15d8c495b68c4b
hex6ae554e801e5

117533204546021 has 24 divisors (see below), whose sum is σ = 131397222931800. Its totient is φ = 105037126318080.

The previous prime is 117533204545993. The next prime is 117533204546027. The reversal of 117533204546021 is 120645402335711.

It can be written as a sum of positive squares in 4 ways, for example, as 3049389062500 + 114483815483521 = 1746250^2 + 10699711^2 .

It is not a de Polignac number, because 117533204546021 - 210 = 117533204544997 is a prime.

It is a super-2 number, since 2×1175332045460212 (a number of 29 digits) 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 (117533204546027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31854896 + ... + 35352521.

It is an arithmetic number, because the mean of its divisors is an integer number (5474884288825).

Almost surely, 2117533204546021 is an apocalyptic number.

117533204546021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

117533204546021 is a deficient number, since it is larger than the sum of its proper divisors (13864018385779).

117533204546021 is a wasteful number, since it uses less digits than its factorization.

117533204546021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67207685 (or 67207674 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 117533204546021 in words is "one hundred seventeen trillion, five hundred thirty-three billion, two hundred four million, five hundred forty-six thousand, twenty-one".

Divisors: 1 11 97 121 149 1067 1639 11737 14453 18029 158983 1748813 67207417 739281587 6519119449 8132097457 10013905133 71710313939 110152956463 788813453329 971348797901 1211682521093 10684836776911 117533204546021