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10031034455205 = 35232111373100363
BaseRepresentation
bin1001000111111000100000…
…1111101101010010100101
31022111221212001000220222020
42101332020033231102211
52303322024310031310
633200105453053353
72053501246016451
oct221761017552245
938457761026866
1010031034455205
113218157494605
1211600b9187259
13579bcb93259a
1426970cad3661
15125de47a7170
hex91f883ed4a5

10031034455205 has 64 divisors (see below), whose sum is σ = 16839261407232. Its totient is φ = 5089268701440.

The previous prime is 10031034455171. The next prime is 10031034455209. The reversal of 10031034455205 is 50255443013001.

10031034455205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10031034455205 - 211 = 10031034453157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031034455209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99897354 + ... + 99997716.

It is an arithmetic number, because the mean of its divisors is an integer number (263113459488).

Almost surely, 210031034455205 is an apocalyptic number.

10031034455205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10031034455205 is a deficient number, since it is larger than the sum of its proper divisors (6808226952027).

10031034455205 is a wasteful number, since it uses less digits than its factorization.

10031034455205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101978.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 10031034455205 its reverse (50255443013001), we get a palindrome (60286477468206).

The spelling of 10031034455205 in words is "ten trillion, thirty-one billion, thirty-four million, four hundred fifty-five thousand, two hundred five".

Divisors: 1 3 5 15 23 69 115 211 345 633 1055 1373 3165 4119 4853 6865 14559 20595 24265 31579 72795 94737 100363 157895 289703 301089 473685 501815 869109 1448515 1505445 2308349 4345545 6663169 6925047 11541745 19989507 21176593 33315845 34625235 63529779 99947535 105882965 137798399 317648895 413395197 487061639 688991995 1461184917 2066975985 2435308195 3169363177 7305924585 9508089531 15846815885 29075462189 47540447655 87226386567 145377310945 436131932835 668735630347 2006206891041 3343678151735 10031034455205