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2102210210001 = 3117311313756369
BaseRepresentation
bin11110100101110101011…
…111100010100011010001
321102222011122101111100110
4132211311133202203101
5233420311303210001
64245424140311533
7304610504645346
oct36456537424321
97388148344313
102102210210001
117405a694a420
1229b509b425a9
13123311c3b785
1473a672887cd
1539a3b29e3d6
hex1e9757e28d1

2102210210001 has 64 divisors (see below), whose sum is σ = 3149959207680. Its totient is φ = 1236380221440.

The previous prime is 2102210209961. The next prime is 2102210210003. The reversal of 2102210210001 is 1000120122012.

It is not a de Polignac number, because 2102210210001 - 210 = 2102210208977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2102210210003) 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 63 ways as a sum of consecutive naturals, for example, 37265545 + ... + 37321913.

It is an arithmetic number, because the mean of its divisors is an integer number (49218112620).

Almost surely, 22102210210001 is an apocalyptic number.

It is an amenable number.

2102210210001 is a deficient number, since it is larger than the sum of its proper divisors (1047748997679).

2102210210001 is a wasteful number, since it uses less digits than its factorization.

2102210210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56706.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2102210210001 its reverse (1000120122012), we get a palindrome (3102330332013).

The spelling of 2102210210001 in words is "two trillion, one hundred two billion, two hundred ten million, two hundred ten thousand, one".

Divisors: 1 3 11 33 73 113 137 219 339 411 803 1243 1507 2409 3729 4521 8249 10001 15481 24747 30003 46443 56369 90739 110011 169107 170291 272217 330033 510873 620059 1130113 1860177 3390339 4114937 6369697 7722553 12344811 12431243 19109091 23167659 37293729 45264307 70066667 84948083 135792921 210200001 254844249 464987881 563746369 872648489 1394963643 1691239107 2617945467 5114866691 6201210059 9599133379 15344600073 18603630177 28797400137 63703339697 191110019091 700736736667 2102210210001