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10031432312 = 23111011278887
BaseRepresentation
bin10010101011110101…
…11000001001111000
3221220002220120011002
421111322320021320
5131021021313222
64335224224132
7503405524226
oct112572701170
927802816132
1010031432312
114288533630
121b3b60b048
13c3b374385
146b23c5b16
153daa1b392
hex255eb8278

10031432312 has 64 divisors (see below), whose sum is σ = 20887511040. Its totient is φ = 4478544000.

The previous prime is 10031432303. The next prime is 10031432329. The reversal of 10031432312 is 21323413001.

10031432312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124333 + ... + 1133219.

It is an arithmetic number, because the mean of its divisors is an integer number (326367360).

Almost surely, 210031432312 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 10031432312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10443755520).

10031432312 is an abundant number, since it is smaller than the sum of its proper divisors (10856078728).

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

10031432312 is a wasteful number, since it uses less digits than its factorization.

10031432312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9128 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10031432312 its reverse (21323413001), we get a palindrome (31354845313).

The spelling of 10031432312 in words is "ten billion, thirty-one million, four hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 127 202 254 404 508 808 1016 1111 1397 2222 2794 4444 5588 8887 8888 11176 12827 17774 25654 35548 51308 71096 97757 102616 141097 195514 282194 391028 564388 782056 897587 1128649 1128776 1795174 2257298 3590348 4514596 7180696 9029192 9873457 12415139 19746914 24830278 39493828 49660556 78987656 99321112 113993549 227987098 455974196 911948392 1253929039 2507858078 5015716156 10031432312