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2104272135 = 335719163719
BaseRepresentation
bin111110101101100…
…1010010100000111
312102122120002201000
41331123022110013
513302143202020
6544445504343
7103101006120
oct17533122407
95378502630
102104272135
1198a896889
124a88720b3
13276c55554
1415d67d047
15c4b0d090
hex7d6ca507

2104272135 has 128 divisors (see below), whose sum is σ = 4534272000. Its totient is φ = 904473216.

The previous prime is 2104272133. The next prime is 2104272167. The reversal of 2104272135 is 5312724012.

2104272135 is a `hidden beast` number, since 21 + 0 + 427 + 213 + 5 = 666.

It is not a de Polignac number, because 2104272135 - 21 = 2104272133 is a prime.

It is a super-2 number, since 2×21042721352 = 8855922436274916450, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2104272099 and 2104272108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104272133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2926306 + ... + 2927024.

It is an arithmetic number, because the mean of its divisors is an integer number (35424000).

Almost surely, 22104272135 is an apocalyptic number.

2104272135 is an abundant number, since it is smaller than the sum of its proper divisors (2429999865).

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

2104272135 is a wasteful number, since it uses less digits than its factorization.

2104272135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2104272135 is about 45872.3460812721. The cubic root of 2104272135 is about 1281.4469588625.

Adding to 2104272135 its reverse (5312724012), we get a palindrome (7416996147).

The spelling of 2104272135 in words is "two billion, one hundred four million, two hundred seventy-two thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 163 171 189 285 315 399 489 513 665 719 815 855 945 1141 1197 1467 1995 2157 2445 2565 3097 3423 3591 3595 4401 5033 5705 5985 6471 7335 9291 10269 10785 13661 15099 15485 17115 17955 19413 21679 22005 25165 27873 30807 32355 40983 45297 46455 51345 65037 68305 75495 83619 95627 97065 108395 117197 122949 135891 139365 154035 195111 204915 226485 286881 325185 351591 368847 418095 478135 585333 585985 614745 679455 820379 860643 975555 1054773 1434405 1757955 1844235 2226743 2461137 2581929 2926665 3164319 4101895 4303215 5273865 6680229 7383411 11133715 12305685 12909645 15587201 15821595 20040687 22150233 33401145 36917055 46761603 60122061 77936005 100203435 110751165 140284809 233808015 300610305 420854427 701424045 2104272135