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2002233101 = 112113146437
BaseRepresentation
bin111011101010111…
…1010011100001101
312011112112222110112
41313111322130031
513100032424401
6530402445405
7100421462201
oct16725723415
95145488415
102002233101
11938232400
1247a663865
1325ba7991b
1414dcbab01
15baba43bb
hex7757a70d

2002233101 has 12 divisors (see below), whose sum is σ = 2220292956. Its totient is φ = 1804091520.

The previous prime is 2002233097. The next prime is 2002233137. The reversal of 2002233101 is 1013322002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 711555625 + 1290677476 = 26675^2 + 35926^2 .

It is not a de Polignac number, because 2002233101 - 22 = 2002233097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002233901) 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 11 ways as a sum of consecutive naturals, for example, 59546 + ... + 86891.

It is an arithmetic number, because the mean of its divisors is an integer number (185024413).

Almost surely, 22002233101 is an apocalyptic number.

It is an amenable number.

2002233101 is a deficient number, since it is larger than the sum of its proper divisors (218059855).

2002233101 is a wasteful number, since it uses less digits than its factorization.

2002233101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146572 (or 146561 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2002233101 is about 44746.3194128858. The cubic root of 2002233101 is about 1260.3897973042.

Adding to 2002233101 its reverse (1013322002), we get a palindrome (3015555103).

The spelling of 2002233101 in words is "two billion, two million, two hundred thirty-three thousand, one hundred one".

Divisors: 1 11 113 121 1243 13673 146437 1610807 16547381 17718877 182021191 2002233101