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31005032335141 = 539711791133637
BaseRepresentation
bin1110000110010111010111…
…11100000100011100100101
311001210001102000100022000011
413003023223330010130211
513030441301234211031
6145535303142050221
76350016414315244
oct703135374043445
9131701360308004
1031005032335141
1199741844a9907
123588b96719971
13143b9ba178497
14792919cb095b
1538b7a32326b1
hex1c32ebf04725

31005032335141 has 16 divisors (see below), whose sum is σ = 31625272153728. Its totient is φ = 30386103134400.

The previous prime is 31005032335117. The next prime is 31005032335201. The reversal of 31005032335141 is 14153323050013.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31005032335141 is a prime.

It is a super-2 number, since 2×310050323351412 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31005032135141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921736975 + ... + 921770611.

It is an arithmetic number, because the mean of its divisors is an integer number (1976579509608).

Almost surely, 231005032335141 is an apocalyptic number.

It is an amenable number.

31005032335141 is a deficient number, since it is larger than the sum of its proper divisors (620239818587).

31005032335141 is a wasteful number, since it uses less digits than its factorization.

31005032335141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52572.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 31005032335141 its reverse (14153323050013), we get a palindrome (45158355385154).

The spelling of 31005032335141 in words is "thirty-one trillion, five billion, thirty-two million, three hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 53 971 17911 33637 51463 949283 1782761 17391581 32661527 602472307 921753793 1731060931 31931032271 585000610097 31005032335141