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12034309401 = 361722392
BaseRepresentation
bin10110011010100110…
…01111110100011001
31011001200200021000000
423031103033310121
5144121240400101
65310053003213
7604135641102
oct131523176431
934050607000
1012034309401
115116065854
1223ba323509
13119a2b814a
148223cd3a9
154a679b486
hex2cd4cfd19

12034309401 has 63 divisors (see below), whose sum is σ = 19247540911. Its totient is φ = 7519345344.

The previous prime is 12034309387. The next prime is 12034309403. The reversal of 12034309401 is 10490343021.

The square root of 12034309401 is 109701.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9369272025 + 2665037376 = 96795^2 + 51624^2 .

It is not a de Polignac number, because 12034309401 - 217 = 12034178329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12034309403) 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 62 ways as a sum of consecutive naturals, for example, 50352640 + ... + 50352878.

Almost surely, 212034309401 is an apocalyptic number.

12034309401 is the 109701-st square number.

12034309401 is the 54851-st centered octagonal number.

It is an amenable number.

12034309401 is a deficient number, since it is larger than the sum of its proper divisors (7213231510).

12034309401 is an frugal number, since it uses more digits than its factorization.

12034309401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12034309401 in words is "twelve billion, thirty-four million, three hundred nine thousand, four hundred one".

Divisors: 1 3 9 17 27 51 81 153 239 243 289 459 717 729 867 1377 2151 2601 4063 4131 6453 7803 12189 12393 19359 23409 36567 57121 58077 69071 70227 109701 171363 174231 207213 210681 329103 514089 621639 971057 987309 1542267 1864917 2913171 2961927 4626801 5594751 8739513 13880403 16507969 16784253 26218539 41641209 49523907 50352759 78655617 148571721 235966851 445715163 707900553 1337145489 4011436467 12034309401