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221421124122 = 231137711277071
BaseRepresentation
bin1100111000110110111…
…0100011101000011010
3210011112012220112112220
43032031232203220122
512111432301432442
6245415223044510
721666010333632
oct3161556435032
9704465815486
10221421124122
11859a44a7870
1236ab55a0736
1317b59260553
14aa070176c2
155b5dd58eec
hex338dba3a1a

221421124122 has 64 divisors (see below), whose sum is σ = 503145934848. Its totient is φ = 64364328000.

The previous prime is 221421124103. The next prime is 221421124147.

221421124122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221421124092 and 221421124101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465154 + ... + 811917.

It is an arithmetic number, because the mean of its divisors is an integer number (7861655232).

Almost surely, 2221421124122 is an apocalyptic number.

221421124122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221421124122 is an abundant number, since it is smaller than the sum of its proper divisors (281724810726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221421124122 is a wasteful number, since it uses less digits than its factorization.

221421124122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277195.

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 221421 and 124122, that added together give a palindrome (345543).

The spelling of 221421124122 in words is "two hundred twenty-one billion, four hundred twenty-one million, one hundred twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 71 74 111 142 213 222 407 426 781 814 1221 1562 2343 2442 2627 4686 5254 7881 15762 28897 57794 86691 173382 1277071 2554142 3831213 7662426 14047781 28095562 42143343 47251627 84286686 90672041 94503254 141754881 181344082 272016123 283509762 519767897 544032246 997392451 1039535794 1559303691 1994784902 2992177353 3118607382 3354865517 5984354706 6709731034 10064596551 20129193102 36903520687 73807041374 110710562061 221421124122