Search a number
-
+
3100203102321 = 3313531015213167
BaseRepresentation
bin101101000111010010100…
…000010011000001110001
3101222101011111002021201000
4231013102200103001301
5401243203443233241
610332114051432213
7436660631400453
oct55072240230161
911871144067630
103100203102321
11a95874913636
12420a0b8b5669
1319646a441a20
14aa09cd062d3
155599b6ebeb6
hex2d1d2813071

3100203102321 has 128 divisors (see below), whose sum is σ = 5100792238080. Its totient is φ = 1849146624000.

The previous prime is 3100203102301. The next prime is 3100203102329. The reversal of 3100203102321 is 1232013020013.

3100203102321 is a `hidden beast` number, since 3 + 10 + 0 + 20 + 310 + 2 + 321 = 666.

It is not a de Polignac number, because 3100203102321 - 215 = 3100203069553 is a prime.

It is a super-2 number, since 2×31002031023212 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3100203102294 and 3100203102303.

It is not an unprimeable number, because it can be changed into a prime (3100203102329) 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, 978906880 + ... + 978910046.

It is an arithmetic number, because the mean of its divisors is an integer number (39849939360).

Almost surely, 23100203102321 is an apocalyptic number.

It is an amenable number.

3100203102321 is a deficient number, since it is larger than the sum of its proper divisors (2000589135759).

3100203102321 is a wasteful number, since it uses less digits than its factorization.

3100203102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3100203102321 its reverse (1232013020013), we get a palindrome (4332216122334).

The spelling of 3100203102321 in words is "three trillion, one hundred billion, two hundred three million, one hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 53 101 117 159 303 351 477 521 689 909 1313 1431 1563 2067 2727 3167 3939 4689 5353 6201 6773 9501 11817 14067 16059 18603 20319 27613 28503 35451 41171 48177 52621 60957 69589 82839 85509 123513 144531 157863 167851 182871 208767 248517 319867 358969 370539 473589 503553 626301 684073 745551 959601 1076907 1111617 1420767 1510659 1650007 1878903 2052219 2182063 2788913 2878803 3230721 4158271 4531977 4950021 6156657 6546189 8366739 8636409 9692163 12474813 14850063 16952951 18469971 19638567 21450091 25100217 36255869 37424439 44550189 50858853 58915701 64350273 75300651 87450371 108767607 112273317 152576559 166650707 193050819 220388363 262351113 326302821 457729677 499952121 579152457 661165089 787053339 978908463 1136854823 1499856363 1983495267 2166459191 2361160017 3410564469 4499569089 5950485801 6499377573 8832487471 10231693407 19498132719 26497462413 30695080221 58494398157 79492387239 114822337123 238477161717 344467011369 1033401034107 3100203102321