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21210222000101 = 17229257121317477
BaseRepresentation
bin1001101001010011000111…
…01111110111011111100101
32210002200021211200000122112
410310221203233313133211
510240002013313000401
6113035501431410405
74316250034213331
oct464514357673745
983080254600575
1021210222000101
1168382284080a2
122466824523a05
13bab166576ac4
1453481a1b67c1
1526bad71823bb
hex134a63bf77e5

21210222000101 has 32 divisors (see below), whose sum is σ = 22663682051040. Its totient is φ = 19780599545856.

The previous prime is 21210222000089. The next prime is 21210222000113. The reversal of 21210222000101 is 10100022201212.

It is an interprime number because it is at equal distance from previous prime (21210222000089) and next prime (21210222000113).

It can be written as a sum of positive squares in 16 ways, for example, as 782994916900 + 20427227083201 = 884870^2 + 4519649^2 .

It is not a de Polignac number, because 21210222000101 - 222 = 21210217805797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210222000151) 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, 1213598975 + ... + 1213616451.

It is an arithmetic number, because the mean of its divisors is an integer number (708240064095).

Almost surely, 221210222000101 is an apocalyptic number.

It is an amenable number.

21210222000101 is a deficient number, since it is larger than the sum of its proper divisors (1453460050939).

21210222000101 is a wasteful number, since it uses less digits than its factorization.

21210222000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19193.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21210222000101 its reverse (10100022201212), we get a palindrome (31310244201313).

The spelling of 21210222000101 in words is "twenty-one trillion, two hundred ten billion, two hundred twenty-two million, one hundred one", and thus it is an aban number.

Divisors: 1 17 229 257 1213 3893 4369 17477 20621 58853 277777 297109 311741 1000501 4002233 4491589 4722209 5299597 21199601 68037961 71388689 76357013 360393217 1028573881 1213607713 4854708629 5448297457 17485755977 82530046693 92621056769 1247660117653 21210222000101