Search a number
-
+
31410522501413 = 1128917316859849
BaseRepresentation
bin1110010010001010101010…
…00010010011000100100101
311010012211001022122000021112
413021011111002103010211
513104112222230021123
6150445443403354405
76421223013003026
oct711052502230445
9133184038560245
1031410522501413
11a010145099400
1236336a0522a05
13146accc066503
147a83c528ac4d
153970d6b06d78
hex1c9155093125

31410522501413 has 24 divisors (see below), whose sum is σ = 35115358383000. Its totient is φ = 28070972526080.

The previous prime is 31410522501389. The next prime is 31410522501427.

31410522501413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 7012237651969 + 24398284849444 = 2648063^2 + 4939462^2 .

It is not a de Polignac number, because 31410522501413 - 28 = 31410522501157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31410522501413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31410522501913) 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, 6566888 + ... + 10292961.

It is an arithmetic number, because the mean of its divisors is an integer number (1463139932625).

Almost surely, 231410522501413 is an apocalyptic number.

It is an amenable number.

31410522501413 is a deficient number, since it is larger than the sum of its proper divisors (3704835881587).

31410522501413 is a wasteful number, since it uses less digits than its factorization.

31410522501413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16860133 (or 16860122 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

It can be divided in two parts, 3141052 and 2501413, that added together give a palindrome (5642465).

The spelling of 31410522501413 in words is "thirty-one trillion, four hundred ten billion, five hundred twenty-two million, five hundred one thousand, four hundred thirteen".

Divisors: 1 11 89 121 173 979 1903 10769 15397 20933 169367 1863037 16859849 185458339 1500526561 2040041729 2916753877 16505792171 32084292647 181563713881 259591095053 352927219117 2855502045583 31410522501413