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100340011314 = 23237529148537
BaseRepresentation
bin101110101110010111…
…0110001000100110010
3100120222212102201002100
41131130232301010302
53120444020330224
6114032350401230
710151343011064
oct1353456610462
9316885381070
10100340011314
1139610358694
1217543800216
1396010a927a
144bdc28b734
152923eedac9
hex175cbb1132

100340011314 has 24 divisors (see below), whose sum is σ = 217410614460. Its totient is φ = 33445554048.

The previous prime is 100340011253. The next prime is 100340011357. The reversal of 100340011314 is 413110043001.

100340011314 is a `hidden beast` number, since 1 + 0 + 0 + 340 + 0 + 11 + 314 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59831606025 + 40508405289 = 244605^2 + 201267^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 601254 + ... + 749790.

Almost surely, 2100340011314 is an apocalyptic number.

100340011314 is an abundant number, since it is smaller than the sum of its proper divisors (117070603146).

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

100340011314 is a wasteful number, since it uses less digits than its factorization.

100340011314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186074 (or 186071 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100340011314 its reverse (413110043001), we get a palindrome (513450054315).

The spelling of 100340011314 in words is "one hundred billion, three hundred forty million, eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 37529 75058 112587 148537 225174 297074 337761 445611 675522 891222 1336833 2673666 5574445073 11148890146 16723335219 33446670438 50170005657 100340011314