Search a number
-
+
122110133203201 = 111317711117163331
BaseRepresentation
bin11011110000111011111011…
…000111001111000100000001
3121000100121121010200021201111
4123300323323013033010001
5112001123023100000301
61111412342030403321
734502110635364213
oct3360737307170401
9530317533607644
10122110133203201
11359a96868746a0
1211841918660541
135319c229586b0
14222223a6985b3
15e1b57128d551
hex6f0efb1cf101

122110133203201 has 64 divisors (see below), whose sum is σ = 154052380403712. Its totient is φ = 95074035840000.

The previous prime is 122110133203199. The next prime is 122110133203213. The reversal of 122110133203201 is 102302331011221.

It is a cyclic number.

It is not a de Polignac number, because 122110133203201 - 21 = 122110133203199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122110133203241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1928094106 + ... + 1928157436.

It is an arithmetic number, because the mean of its divisors is an integer number (2407068443808).

Almost surely, 2122110133203201 is an apocalyptic number.

122110133203201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122110133203201 is a deficient number, since it is larger than the sum of its proper divisors (31942247200511).

122110133203201 is a wasteful number, since it uses less digits than its factorization.

122110133203201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74614.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 122110133203201 its reverse (102302331011221), we get a palindrome (224412464214422).

The spelling of 122110133203201 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred thirty-three million, two hundred three thousand, two hundred one".

Divisors: 1 11 13 17 71 143 187 221 781 923 1207 2431 10153 11171 13277 15691 63331 122881 145223 172601 189907 696641 793141 823303 1076627 1597453 2088977 2468791 4496501 8724551 9056333 10310833 11842897 13483397 13996151 27156701 49461511 58454513 76440517 113419163 148317367 153957661 175284161 642999643 707470601 840845687 993726721 1928125771 7782176611 9197117813 10930993931 12027000217 50230412671 101168295943 132297002387 156351002821 552534539381 652995364723 853917015407 1719861031031 7182949011953 9393087169477 11100921200291 122110133203201