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2001121434 = 2321311537417
BaseRepresentation
bin111011101000110…
…1011000010011010
312011110110111112200
41313101223002122
513044241341214
6530322551030
7100406152164
oct16721530232
95143414480
102001121434
11937643174
1247a208476
1325b77a930
1414daab934
15baa34d09
hex7746b09a

2001121434 has 48 divisors (see below), whose sum is σ = 4673963112. Its totient is φ = 615112704.

The previous prime is 2001121433. The next prime is 2001121457. The reversal of 2001121434 is 4341211002.

2001121434 is a `hidden beast` number, since 200 + 11 + 21 + 434 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1865980809 + 135140625 = 43197^2 + 11625^2 .

It is a super-2 number, since 2×20011214342 = 8008973987228432712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2001121433) 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, 266094 + ... + 273510.

Almost surely, 22001121434 is an apocalyptic number.

2001121434 is an abundant number, since it is smaller than the sum of its proper divisors (2672841678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001121434 is a wasteful number, since it uses less digits than its factorization.

2001121434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2001121434 is about 44733.8958062005. The cubic root of 2001121434 is about 1260.1564922786.

Adding to 2001121434 its reverse (4341211002), we get a palindrome (6342332436).

The spelling of 2001121434 in words is "two billion, one million, one hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1153 2306 3459 6918 7417 10377 14834 14989 20754 22251 29978 44502 44967 66753 89934 96421 133506 134901 192842 269802 289263 578526 867789 1735578 8551801 17103602 25655403 51310806 76966209 111173413 153932418 222346826 333520239 667040478 1000560717 2001121434