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21214411203153 = 3731109298967167
BaseRepresentation
bin1001101001011010111010…
…11100011010001001010001
32210010002002210101120220010
410310231131130122021101
510240034103232000103
6113041433240505133
74316455612645320
oct464553534321121
983102083346803
1021214411203153
116839a8807a383
1224675b347b1a9
13bab68344228c
14534ad66dc0b7
1526bc7ed2c903
hex134b5d71a251

21214411203153 has 32 divisors (see below), whose sum is σ = 33675661803520. Its totient is φ = 11623843414080.

The previous prime is 21214411203101. The next prime is 21214411203169. The reversal of 21214411203153 is 35130211441212.

It is not a de Polignac number, because 21214411203153 - 29 = 21214411202641 is a prime.

It is a super-3 number, since 3×212144112031533 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21214411203153.

It is not an unprimeable number, because it can be changed into a prime (21214411201153) 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, 149412625 + ... + 149554542.

It is an arithmetic number, because the mean of its divisors is an integer number (1052364431360).

Almost surely, 221214411203153 is an apocalyptic number.

It is an amenable number.

21214411203153 is a deficient number, since it is larger than the sum of its proper divisors (12461250600367).

21214411203153 is a wasteful number, since it uses less digits than its factorization.

21214411203153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298967317.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 21214411203153 its reverse (35130211441212), we get a palindrome (56344622644365).

The spelling of 21214411203153 in words is "twenty-one trillion, two hundred fourteen billion, four hundred eleven million, two hundred three thousand, one hundred fifty-three".

Divisors: 1 3 7 21 31 93 109 217 327 651 763 2289 3379 10137 23653 70959 298967167 896901501 2092770169 6278310507 9267982177 27803946531 32587421203 64875875239 97762263609 194627625717 228111948421 684335845263 1010210057293 3030630171879 7071470401051 21214411203153