Search a number
-
+
41122153003122 = 23279165717452343
BaseRepresentation
bin10010101100110011111110…
…10100100111100001110010
312101121020110112202221100100
421112121333110213201302
520342221132132044442
6223243131205333230
711442656200145142
oct1126317724474162
9171536415687310
1041122153003122
1112114897355204
1247418b9a07216
1319c3a57b057b9
14a22473b90922
154b4a3547084c
hex25667f527872

41122153003122 has 48 divisors (see below), whose sum is σ = 90280277418240. Its totient is φ = 13525704668736.

The previous prime is 41122153003103. The next prime is 41122153003157. The reversal of 41122153003122 is 22130035122114.

It is a happy number.

41122153003122 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 2 + 1 + 530 + 0 + 3 + 122 = 666.

It is a super-2 number, since 2×411221530031222 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6369918 + ... + 11082425.

It is an arithmetic number, because the mean of its divisors is an integer number (1880839112880).

Almost surely, 241122153003122 is an apocalyptic number.

41122153003122 is an abundant number, since it is smaller than the sum of its proper divisors (49158124415118).

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

41122153003122 is a wasteful number, since it uses less digits than its factorization.

41122153003122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17454087 (or 17454084 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 41122153003122 its reverse (22130035122114), we get a palindrome (63252188125236).

The spelling of 41122153003122 in words is "forty-one trillion, one hundred twenty-two billion, one hundred fifty-three million, three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 1422 1657 3314 4971 9942 14913 29826 130903 261806 392709 785418 1178127 2356254 17452343 34904686 52357029 104714058 157071087 314142174 1378735097 2757470194 4136205291 8272410582 12408615873 24817231746 28918532351 57837064702 86755597053 173511194106 260266791159 520533582318 2284564055729 4569128111458 6853692167187 13707384334374 20561076501561 41122153003122