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10031104 = 2123179
BaseRepresentation
bin100110010001…
…000000000000
3200212122002101
4212101000000
510031443404
6555000144
7151156126
oct46210000
920778071
1010031104
115731576
123439054
132102a85
141491916
15d322a4
hex991000

10031104 has 52 divisors (see below), whose sum is σ = 20968960. Its totient is φ = 4792320.

The previous prime is 10031053. The next prime is 10031113. The reversal of 10031104 is 40113001.

It is a happy number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126937 + ... + 127015.

Almost surely, 210031104 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 10031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10484480).

10031104 is an abundant number, since it is smaller than the sum of its proper divisors (10937856).

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

10031104 is an frugal number, since it uses more digits than its factorization.

10031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10031104 is about 3167.1918161046. The cubic root of 10031104 is about 215.6666095993. Note that the first 4 decimals are identical.

Adding to 10031104 its reverse (40113001), we get a palindrome (50144105).

The spelling of 10031104 in words is "ten million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 79 124 128 158 248 256 316 496 512 632 992 1024 1264 1984 2048 2449 2528 3968 4096 4898 5056 7936 9796 10112 15872 19592 20224 31744 39184 40448 63488 78368 80896 126976 156736 161792 313472 323584 626944 1253888 2507776 5015552 10031104