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31444510301 = 137417754949
BaseRepresentation
bin11101010010001111…
…010010011001011101
310000011102101121222122
4131102033102121131
51003344243312201
622240112552325
72162136633101
oct352217223135
9100142347878
1031444510301
1112376673aa6
1261168526a5
132c71729319
141744225901
15c40861e1b
hex7523d265d

31444510301 has 8 divisors (see below), whose sum is σ = 31682191800. Its totient is φ = 31206947328.

The previous prime is 31444510297. The next prime is 31444510319. The reversal of 31444510301 is 10301544413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9845799076 + 21598711225 = 99226^2 + 146965^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31444510301 - 22 = 31444510297 is a prime.

It is a super-2 number, since 2×314445103012 (a number of 22 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 (31444512301) 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 7 ways as a sum of consecutive naturals, for example, 544775 + ... + 599723.

It is an arithmetic number, because the mean of its divisors is an integer number (3960273975).

Almost surely, 231444510301 is an apocalyptic number.

It is an amenable number.

31444510301 is a deficient number, since it is larger than the sum of its proper divisors (237681499).

31444510301 is a wasteful number, since it uses less digits than its factorization.

31444510301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59263.

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 31444510301 in words is "thirty-one billion, four hundred forty-four million, five hundred ten thousand, three hundred one".

Divisors: 1 137 4177 54949 572249 7528013 229521973 31444510301