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2100122331021 = 32114138314771
BaseRepresentation
bin11110100011111001000…
…010111010011110001101
321102202210010200020211100
4132203321002322132031
5233402022304043041
64244441034013313
7304504663163541
oct36437102723615
97382703606740
102100122331021
1173a725340000
1229b026877239
1312306b505a20
1473909c75a21
1539967d2d6b6
hex1e8f90ba78d

2100122331021 has 120 divisors (see below), whose sum is σ = 3637061981280. Its totient is φ = 1160659684800.

The previous prime is 2100122331007. The next prime is 2100122331029. The reversal of 2100122331021 is 1201332210012.

2100122331021 is a `hidden beast` number, since 210 + 0 + 122 + 3 + 310 + 21 = 666.

It is not a de Polignac number, because 2100122331021 - 214 = 2100122314637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100122330985 and 2100122331003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100122331029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 142171366 + ... + 142186136.

It is an arithmetic number, because the mean of its divisors is an integer number (30308849844).

Almost surely, 22100122331021 is an apocalyptic number.

It is an amenable number.

2100122331021 is a deficient number, since it is larger than the sum of its proper divisors (1536939650259).

2100122331021 is a wasteful number, since it uses less digits than its factorization.

2100122331021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14917 (or 14881 counting only the distinct ones).

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

Adding to 2100122331021 its reverse (1201332210012), we get a palindrome (3301454541033).

The spelling of 2100122331021 in words is "two trillion, one hundred billion, one hundred twenty-two million, three hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 11 13 33 39 83 99 117 121 143 249 363 429 747 913 1079 1089 1287 1331 1573 2739 3237 3993 4719 8217 9711 10043 11869 11979 14157 14641 14771 17303 30129 35607 43923 44313 51909 90387 106821 110473 130559 131769 132939 155727 162481 190333 192023 331419 391677 487443 570999 576069 994257 1175031 1215203 1225993 1436149 1462329 1712997 1728207 1787291 2112253 3645609 3677979 4308447 5361873 6336759 10936827 11033937 12925341 13485923 15797639 15937909 16085619 19010277 19660201 23234783 40457769 47392917 47813727 58980603 69704349 121373307 142178751 143441181 148345153 175316999 176941809 209113047 216262211 255582613 445035459 525950997 648786633 766747839 1335106377 1577852991 1631796683 1928486989 1946359899 2300243517 2811408743 4895390049 5785460967 8434226229 14686170147 17356382901 17949763513 21213356879 25302678687 53849290539 63640070637 161547871617 190920211911 233346925669 700040777007 2100122331021