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31005213201 = 327734456693
BaseRepresentation
bin11100111000000011…
…100000001000010001
32222000210210000122200
4130320003200020101
51001444313310301
622124341153413
72145223651404
oct347003401021
988023700580
1031005213201
11121706a8646
1260136bb869
132c01709101
141701b51d3b
15c16ed9c86
hex7380e0211

31005213201 has 12 divisors (see below), whose sum is σ = 44843255028. Its totient is φ = 20643397344.

The previous prime is 31005213191. The next prime is 31005213203. The reversal of 31005213201 is 10231250013.

It can be written as a sum of positive squares in 2 ways, for example, as 14768082576 + 16237130625 = 121524^2 + 127425^2 .

It is not a de Polignac number, because 31005213201 - 213 = 31005205009 is a prime.

It is a super-2 number, since 2×310052132012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31005213203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2221390 + ... + 2235303.

It is an arithmetic number, because the mean of its divisors is an integer number (3736937919).

Almost surely, 231005213201 is an apocalyptic number.

It is an amenable number.

31005213201 is a deficient number, since it is larger than the sum of its proper divisors (13838041827).

31005213201 is a wasteful number, since it uses less digits than its factorization.

31005213201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457472 (or 4457469 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 31005213201 its reverse (10231250013), we get a palindrome (41236463214).

The spelling of 31005213201 in words is "thirty-one billion, five million, two hundred thirteen thousand, two hundred one".

Divisors: 1 3 9 773 2319 6957 4456693 13370079 40110237 3445023689 10335071067 31005213201