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2072110401 = 32317879437
BaseRepresentation
bin111101110000001…
…1110010101000001
312100102001010002200
41323200132111001
513220430013101
6541340303413
7102230435124
oct17340362501
95312033080
102072110401
1197371a239
12499b41b69
132703a463a
141592aa3bb
15c1da8986
hex7b81e541

2072110401 has 24 divisors (see below), whose sum is σ = 3093851904. Its totient is φ = 1335005280.

The previous prime is 2072110387. The next prime is 2072110409. The reversal of 2072110401 is 1040112702.

It is not a de Polignac number, because 2072110401 - 215 = 2072077633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2072110409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214855 + ... + 224291.

It is an arithmetic number, because the mean of its divisors is an integer number (128910496).

Almost surely, 22072110401 is an apocalyptic number.

It is an amenable number.

2072110401 is a deficient number, since it is larger than the sum of its proper divisors (1021741503).

2072110401 is a wasteful number, since it uses less digits than its factorization.

2072110401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10261 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2072110401 is about 45520.4393761747. The cubic root of 2072110401 is about 1274.8848597293.

The spelling of 2072110401 in words is "two billion, seventy-two million, one hundred ten thousand, four hundred one".

Divisors: 1 3 9 31 93 279 787 2361 7083 9437 24397 28311 73191 84933 219573 292547 877641 2632923 7426919 22280757 66842271 230234489 690703467 2072110401