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1132314132114 = 2321121247341681
BaseRepresentation
bin10000011110100011001…
…011100111111010010010
311000020200220210202120200
4100132203023213322102
5122022434404211424
62224102233320030
7144543541214154
oct20364313477222
94006626722520
101132314132114
113a7236898800
12163549866016
1382a13722ac9
143cb38dbcad4
151e6c283d8c9
hex107a32e7e92

1132314132114 has 72 divisors (see below), whose sum is σ = 2696935357116. Its totient is φ = 343089753600.

The previous prime is 1132314132029. The next prime is 1132314132133. The reversal of 1132314132114 is 4112314132311.

1132314132114 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 31 + 413 + 211 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1038106265625 + 94207866489 = 1018875^2 + 306933^2 .

It is a super-2 number, since 2×11323141321142 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27145354 + ... + 27187034.

Almost surely, 21132314132114 is an apocalyptic number.

1132314132114 is an abundant number, since it is smaller than the sum of its proper divisors (1564621225002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1132314132114 is a wasteful number, since it uses less digits than its factorization.

1132314132114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54184 (or 54170 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1132314132114 its reverse (4112314132311), we get a palindrome (5244628264425).

The spelling of 1132314132114 in words is "one trillion, one hundred thirty-two billion, three hundred fourteen million, one hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 12473 24946 37419 41681 74838 83362 112257 125043 137203 224514 250086 274406 375129 411609 458491 750258 823218 916982 1234827 1375473 1509233 2469654 2750946 3018466 4126419 4527699 5043401 8252838 9055398 10086802 13583097 15130203 27166194 30260406 45390609 90781218 519887113 1039774226 1559661339 3119322678 4678984017 5718758243 9357968034 11437516486 17156274729 34312549458 51468824187 62906340673 102937648374 125812681346 188719022019 377438044038 566157066057 1132314132114