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146121121641 = 31110940623053
BaseRepresentation
bin1000100000010101111…
…1110101111101101001
3111222011102200002002010
42020011133311331221
54343224001343031
6151043242430133
713362006016665
oct2100537657551
9458142602063
10146121121641
1156a73622460
122439b802349
1310a18a88371
1471025698a5
153c032d2246
hex22057f5f69

146121121641 has 16 divisors (see below), whose sum is σ = 214489725120. Its totient is φ = 87745792320.

The previous prime is 146121121609. The next prime is 146121121661.

146121121641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 146121121641 - 25 = 146121121609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146121121599 and 146121121608.

It is not an unprimeable number, because it can be changed into a prime (146121121661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20307930 + ... + 20315123.

It is an arithmetic number, because the mean of its divisors is an integer number (13405607820).

Almost surely, 2146121121641 is an apocalyptic number.

146121121641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146121121641 is a deficient number, since it is larger than the sum of its proper divisors (68368603479).

146121121641 is a wasteful number, since it uses less digits than its factorization.

146121121641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40623176.

The product of its digits is 2304, while the sum is 30.

It can be divided in two parts, 146121 and 121641, that added together give a palindrome (267762).

The spelling of 146121121641 in words is "one hundred forty-six billion, one hundred twenty-one million, one hundred twenty-one thousand, six hundred forty-one".

Divisors: 1 3 11 33 109 327 1199 3597 40623053 121869159 446853583 1340560749 4427912777 13283738331 48707040547 146121121641