Search a number
-
+
10122202100121 = 3313728310394507
BaseRepresentation
bin1001001101001100001001…
…0000101011000110011001
31022211200011200001010210120
42103103002100223012121
52311320232214200441
633310024144103453
72063206414143546
oct223230220530631
938750150033716
1010122202100121
1132528902225a1
121175901004b89
1358569a62b0c7
1426dcbaadbbcd
1512847d3cc966
hex934c242b199

10122202100121 has 32 divisors (see below), whose sum is σ = 14358723883008. Its totient is φ = 6331501494720.

The previous prime is 10122202100119. The next prime is 10122202100149. The reversal of 10122202100121 is 12100120222101.

It is not a de Polignac number, because 10122202100121 - 21 = 10122202100119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10122202100121.

It is not an unprimeable number, because it can be changed into a prime (10122202100921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223451 + ... + 6171056.

It is an arithmetic number, because the mean of its divisors is an integer number (448710121344).

Almost surely, 210122202100121 is an apocalyptic number.

It is an amenable number.

10122202100121 is a deficient number, since it is larger than the sum of its proper divisors (4236521782887).

10122202100121 is a wasteful number, since it uses less digits than its factorization.

10122202100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10394861.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10122202100121 its reverse (12100120222101), we get a palindrome (22222322322222).

The spelling of 10122202100121 in words is "ten trillion, one hundred twenty-two billion, two hundred two million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 31 37 93 111 283 849 1147 3441 8773 10471 26319 31413 324601 973803 10394507 31183521 322229717 384596759 966689151 1153790277 2941645481 8824936443 11922499529 35767498587 91191009911 108840882797 273573029733 326522648391 3374067366707 10122202100121