Search a number
-
+
220201201000221 = 373827258760987
BaseRepresentation
bin110010000100010110010110…
…010111010101111100011101
31001212200000210022021101022020
4302010112112113111330131
5212330234024424001341
62100155011335210353
764245004015536000
oct6204262627257435
91055600708241266
10220201201000221
1164187894370851
12208445748169b9
1395b3b656465ac
143c53b1b673537
151a6ce12a31566
hexc845965d5f1d

220201201000221 has 32 divisors (see below), whose sum is σ = 342806556902400. Its totient is φ = 125677105768368.

The previous prime is 220201201000219. The next prime is 220201201000241. The reversal of 220201201000221 is 122000102102022.

It is not a de Polignac number, because 220201201000221 - 21 = 220201201000219 is a prime.

It is a super-3 number, since 3×2202012010002213 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220201201000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201201000241) 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, 128529511 + ... + 130231476.

It is an arithmetic number, because the mean of its divisors is an integer number (10712704903200).

Almost surely, 2220201201000221 is an apocalyptic number.

220201201000221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220201201000221 is a deficient number, since it is larger than the sum of its proper divisors (122605355902179).

220201201000221 is an equidigital number, since it uses as much as digits as its factorization.

220201201000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258761838 (or 258761824 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220201201000221 its reverse (122000102102022), we get a palindrome (342201303102243).

The spelling of 220201201000221 in words is "two hundred twenty trillion, two hundred one billion, two hundred one million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 7 21 49 147 343 827 1029 2481 5789 17367 40523 121569 283661 850983 258760987 776282961 1811326909 5433980727 12679288363 38037865089 88755018541 213995336249 266265055623 641986008747 1497967353743 4493902061229 10485771476201 31457314428603 73400400333407 220201201000221