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2202123001 = 131496531741
BaseRepresentation
bin1000001101000001…
…1011101011111001
312200110200102212011
42003100123223321
514002220414001
61002303045521
7105366510451
oct20320335371
95613612764
102202123001
11a3004a671
125155a08a1
132912c5a80
1416c670d61
15cd4dad51
hex8341baf9

2202123001 has 16 divisors (see below), whose sum is σ = 2392462800. Its totient is φ = 2014836480.

The previous prime is 2202122987. The next prime is 2202123019. The reversal of 2202123001 is 1003212022.

2202123001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1415264400 + 786858601 = 37620^2 + 28051^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202123001 - 231 = 54639353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2202123031) 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, 1263991 + ... + 1265731.

It is an arithmetic number, because the mean of its divisors is an integer number (149528925).

Almost surely, 22202123001 is an apocalyptic number.

It is an amenable number.

2202123001 is a deficient number, since it is larger than the sum of its proper divisors (190339799).

2202123001 is a wasteful number, since it uses less digits than its factorization.

2202123001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2202123001 is about 46926.7834077726. The cubic root of 2202123001 is about 1301.0096694643.

Adding to 2202123001 its reverse (1003212022), we get a palindrome (3205335023).

The spelling of 2202123001 in words is "two billion, two hundred two million, one hundred twenty-three thousand, one".

Divisors: 1 13 149 653 1741 1937 8489 22633 97297 259409 1136873 1264861 3372317 14779349 169394077 2202123001