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21211002212001 = 3773113122444869
BaseRepresentation
bin1001101001010100100100…
…10000001000111010100001
32210002202022012202220011120
410310222102100020322201
510240010113031241001
6113040111102202453
74316305260002520
oct464522220107241
983082265686146
1021211002212001
116838598862918
122466a01883429
13bab25c0bbb54
14534891a704b7
1526bb308eb236
hex134a92408ea1

21211002212001 has 32 divisors (see below), whose sum is σ = 33054237546240. Its totient is φ = 11848744986624.

The previous prime is 21211002211999. The next prime is 21211002212003. The reversal of 21211002212001 is 10021220011212.

It is an interprime number because it is at equal distance from previous prime (21211002211999) and next prime (21211002212003).

It is not a de Polignac number, because 21211002212001 - 21 = 21211002211999 is a prime.

It is a super-2 number, since 2×212110022120012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21211002212003) 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 31 ways as a sum of consecutive naturals, for example, 61049206 + ... + 61395663.

It is an arithmetic number, because the mean of its divisors is an integer number (1032944923320).

Almost surely, 221211002212001 is an apocalyptic number.

21211002212001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21211002212001 is a deficient number, since it is larger than the sum of its proper divisors (11843235334239).

21211002212001 is a wasteful number, since it uses less digits than its factorization.

21211002212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122445065.

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

Adding to 21211002212001 its reverse (10021220011212), we get a palindrome (31232222223213).

The spelling of 21211002212001 in words is "twenty-one trillion, two hundred eleven billion, two million, two hundred twelve thousand, one".

Divisors: 1 3 7 21 73 113 219 339 511 791 1533 2373 8249 24747 57743 173229 122444869 367334607 857114083 2571342249 8938475437 13836270197 26815426311 41508810591 62569328059 96853891379 187707984177 290561674137 1010047724381 3030143173143 7070334070667 21211002212001