Search a number
-
+
220102100201201 = 2353107215770771
BaseRepresentation
bin110010000010111010000011…
…011111110010111011110001
31001212022112222210122011220112
4302002322003133302323301
5212322123100122414301
62100041301533151105
764234565140620461
oct6202720337627361
91055275883564815
10220102100201201
116414985a571759
122082931802b495
1395a770121094a
143c4cdd9c01ba1
151a6a5627169bb
hexc82e837f2ef1

220102100201201 has 24 divisors (see below), whose sum is σ = 236212604357184. Its totient is φ = 204629651900960.

The previous prime is 220102100201183. The next prime is 220102100201219. The reversal of 220102100201201 is 102102001201022.

It is an interprime number because it is at equal distance from previous prime (220102100201183) and next prime (220102100201219).

It is not a de Polignac number, because 220102100201201 - 214 = 220102100184817 is a prime.

It is a super-3 number, since 3×2201021002012013 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220102100200201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6070946 + ... + 21841716.

It is an arithmetic number, because the mean of its divisors is an integer number (9842191848216).

Almost surely, 2220102100201201 is an apocalyptic number.

It is an amenable number.

220102100201201 is a deficient number, since it is larger than the sum of its proper divisors (16110504155983).

220102100201201 is a wasteful number, since it uses less digits than its factorization.

220102100201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15771061 (or 15770954 counting only the distinct ones).

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

Adding to 220102100201201 its reverse (102102001201022), we get a palindrome (322204101402223).

The spelling of 220102100201201 in words is "two hundred twenty trillion, one hundred two billion, one hundred million, two hundred one thousand, two hundred one".

Divisors: 1 23 53 107 1219 2461 5671 11449 130433 263327 606797 13956331 15770771 362727733 835850863 1687472497 19224569849 38811867431 89436042341 180559557179 2057028973843 4152869815117 9569656530487 220102100201201