Search a number
-
+
2210121221121 = 331117971414083
BaseRepresentation
bin100000001010010101011…
…111011000010000000001
321211021201010222211201000
4200022111133120100001
5242202312013033441
64411152104002213
7315450602262252
oct40122537302001
97737633884630
102210121221121
117823418a2240
122b8405160369
1313054b704688
1478d82c4ab29
153c754ca72b6
hex202957d8401

2210121221121 has 32 divisors (see below), whose sum is σ = 3572120471040. Its totient is φ = 1339389637200.

The previous prime is 2210121221057. The next prime is 2210121221137. The reversal of 2210121221121 is 1211221210122.

2210121221121 is a `hidden beast` number, since 221 + 0 + 1 + 212 + 211 + 21 = 666.

It is not a de Polignac number, because 2210121221121 - 26 = 2210121221057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2210121221094 and 2210121221103.

It is not an unprimeable number, because it can be changed into a prime (2210121221221) 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, 5130346 + ... + 5544428.

It is an arithmetic number, because the mean of its divisors is an integer number (111628764720).

Almost surely, 22210121221121 is an apocalyptic number.

It is an amenable number.

2210121221121 is a deficient number, since it is larger than the sum of its proper divisors (1361999249919).

2210121221121 is a wasteful number, since it uses less digits than its factorization.

2210121221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432074 (or 432068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2210121221121 its reverse (1211221210122), we get a palindrome (3421342431243).

The spelling of 2210121221121 in words is "two trillion, two hundred ten billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 17971 53913 161739 197681 414083 485217 593043 1242249 1779129 3726747 4554913 5337387 11180241 13664739 40994217 122982651 7441485593 22324456779 66973370337 81856341523 200920111011 245569024569 736707073707 2210121221121