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2201132031 = 37432437577
BaseRepresentation
bin1000001100110010…
…1001101111111111
312200101211002111120
42003030221233333
514001442211111
61002225522023
7105355212360
oct20314515777
95611732446
102201132031
11a2a53308a
125151a3313
132910399b7
1416c493b67
15cd392406
hex83329bff

2201132031 has 16 divisors (see below), whose sum is σ = 3432109824. Its totient is φ = 1228538304.

The previous prime is 2201131979. The next prime is 2201132053. The reversal of 2201132031 is 1302311022.

It is not a de Polignac number, because 2201132031 - 27 = 2201131903 is a prime.

It is a super-3 number, since 3×22011320313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2201132031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201132231) 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 15 ways as a sum of consecutive naturals, for example, 1217886 + ... + 1219691.

It is an arithmetic number, because the mean of its divisors is an integer number (214506864).

Almost surely, 22201132031 is an apocalyptic number.

2201132031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2201132031 is a deficient number, since it is larger than the sum of its proper divisors (1230977793).

2201132031 is a wasteful number, since it uses less digits than its factorization.

2201132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437630.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2201132031 is about 46916.2235372797. The cubic root of 2201132031 is about 1300.8144858480.

Adding to 2201132031 its reverse (1302311022), we get a palindrome (3503443053).

The spelling of 2201132031 in words is "two billion, two hundred one million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 3 7 21 43 129 301 903 2437577 7312731 17063039 51189117 104815811 314447433 733710677 2201132031