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31102302224 = 2471992834931
BaseRepresentation
bin11100111101110101…
…110111100000010000
32222021120110122202102
4130331311313200100
51002144142132344
622142130135532
72150513130650
oct347565674020
988246418672
1031102302224
1112210491004
1260401215a8
132c18870936
1417109c6360
15c207b6e4e
hex73dd77810

31102302224 has 80 divisors (see below), whose sum is σ = 69474124800. Its totient is φ = 13213031040.

The previous prime is 31102302199. The next prime is 31102302229. The reversal of 31102302224 is 42220320113.

It is a junction number, because it is equal to n+sod(n) for n = 31102302196 and 31102302205.

It is not an unprimeable number, because it can be changed into a prime (31102302229) 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, 6305039 + ... + 6309969.

It is an arithmetic number, because the mean of its divisors is an integer number (868426560).

Almost surely, 231102302224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31102302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34737062400).

31102302224 is an abundant number, since it is smaller than the sum of its proper divisors (38371822576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31102302224 is a wasteful number, since it uses less digits than its factorization.

31102302224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31102302224 its reverse (42220320113), we get a palindrome (73322622337).

The spelling of 31102302224 in words is "thirty-one billion, one hundred two million, three hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 199 283 398 566 796 1132 1393 1592 1981 2264 2786 3184 3962 4528 4931 5572 7924 9862 11144 15848 19724 22288 31696 34517 39448 56317 69034 78896 112634 138068 225268 276136 394219 450536 552272 788438 901072 981269 1395473 1576876 1962538 2790946 3153752 3925076 5581892 6307504 6868883 7850152 9768311 11163784 13737766 15700304 19536622 22327568 27475532 39073244 54951064 78146488 109902128 156292976 277699127 555398254 1110796508 1943893889 2221593016 3887787778 4443186032 7775575556 15551151112 31102302224