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101110013224 = 23112541193073
BaseRepresentation
bin101111000101010100…
…0000101110100101000
3100122222112022212010121
41132022220011310220
53124033130410344
6114241014253024
710206412634443
oct1361250056450
9318875285117
10101110013224
1139975a6a500
1217719657174
1396c4787cbc
144c7264865a
15296b8ec684
hex178aa05d28

101110013224 has 48 divisors (see below), whose sum is σ = 208768985460. Its totient is φ = 45873907200.

The previous prime is 101110013201. The next prime is 101110013231. The reversal of 101110013224 is 422310011101.

It can be written as a sum of positive squares in 2 ways, for example, as 92239764100 + 8870249124 = 303710^2 + 94182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101110013198 and 101110013207.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427152 + ... + 620224.

Almost surely, 2101110013224 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 101110013224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104384492730).

101110013224 is an abundant number, since it is smaller than the sum of its proper divisors (107658972236).

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

101110013224 is a wasteful number, since it uses less digits than its factorization.

101110013224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193642 (or 193627 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101110013224 its reverse (422310011101), we get a palindrome (523420024325).

The spelling of 101110013224 in words is "one hundred one billion, one hundred ten million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 541 968 1082 2164 4328 5951 11902 23804 47608 65461 130922 193073 261844 386146 523688 772292 1544584 2123803 4247606 8495212 16990424 23361833 46723666 93447332 104452493 186894664 208904986 417809972 835619944 1148977423 2297954846 4595909692 9191819384 12638751653 25277503306 50555006612 101110013224