Search a number
-
+
123141022221 = 3728320720347
BaseRepresentation
bin111001010101111000…
…1101110001000001101
3102202211220120001221210
41302223301232020031
54004143100202341
6132323055245033
711616356263410
oct1625361561015
9382756501853
10123141022221
1148250995658
121ba47819779
13b7c5b762b9
145d6257bb77
15330ab03c16
hex1cabc6e20d

123141022221 has 16 divisors (see below), whose sum is σ = 188306522624. Its totient is φ = 70117650864.

The previous prime is 123141022181. The next prime is 123141022313. The reversal of 123141022221 is 122220141321.

It is a happy number.

It is not a de Polignac number, because 123141022221 - 27 = 123141022093 is a prime.

It is a super-2 number, since 2×1231410222212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123141020221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10354231 + ... + 10366116.

It is an arithmetic number, because the mean of its divisors is an integer number (11769157664).

Almost surely, 2123141022221 is an apocalyptic number.

It is an amenable number.

123141022221 is a deficient number, since it is larger than the sum of its proper divisors (65165500403).

123141022221 is a wasteful number, since it uses less digits than its factorization.

123141022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20720640.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 123141022221 its reverse (122220141321), we get a palindrome (245361163542).

The spelling of 123141022221 in words is "one hundred twenty-three billion, one hundred forty-one million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 21 283 849 1981 5943 20720347 62161041 145042429 435127287 5863858201 17591574603 41047007407 123141022221