Search a number
-
+
1221002210001 = 37315110697351
BaseRepresentation
bin10001110001001001011…
…001110010101011010001
311022201121202001220220010
4101301021121302223101
5130001103031210001
62332530510505133
7154133400354000
oct21611131625321
94281552056803
101221002210001
11430907a09342
1217877b2051a9
138b1a87c46c2
144314d974c37
1521b639228d6
hex11c49672ad1

1221002210001 has 64 divisors (see below), whose sum is σ = 1913166848000. Its totient is φ = 692352360000.

The previous prime is 1221002209981. The next prime is 1221002210011. The reversal of 1221002210001 is 1000122001221.

It is not a de Polignac number, because 1221002210001 - 25 = 1221002209969 is a prime.

It is a super-2 number, since 2×12210022100012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1221002210011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166096476 + ... + 166103826.

It is an arithmetic number, because the mean of its divisors is an integer number (29893232000).

Almost surely, 21221002210001 is an apocalyptic number.

It is an amenable number.

1221002210001 is a deficient number, since it is larger than the sum of its proper divisors (692164637999).

1221002210001 is a wasteful number, since it uses less digits than its factorization.

1221002210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8581 counting only the distinct ones).

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

Adding to 1221002210001 its reverse (1000122001221), we get a palindrome (2221124211222).

The spelling of 1221002210001 in words is "one trillion, two hundred twenty-one billion, two million, two hundred ten thousand, one".

Divisors: 1 3 7 21 49 147 151 343 453 1029 1057 1069 3171 3207 7351 7399 7483 22053 22197 22449 51457 51793 52381 154371 155379 157143 161419 360199 366667 484257 1080597 1100001 1110001 1129933 2521393 3330003 3389799 7564179 7770007 7858219 7909531 23310021 23574657 23728593 54390049 55007533 55366717 163170147 165022599 166100151 380730343 385052731 1142191029 1155158193 1186591069 2695369117 3559773207 8086107351 8306137483 24918412449 58142962381 174428887143 407000736667 1221002210001