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101120002310 = 25172287260089
BaseRepresentation
bin101111000101100111…
…0001100100100000110
3100200000020010100120202
41132023032030210012
53124043210033220
6114242012330502
710206563560235
oct1361316144406
9320006110522
10101120002310
1139980672448
1217720a73a32
1396c68748c2
144c73ac8b1c
15296c722275
hex178b38c906

101120002310 has 32 divisors (see below), whose sum is σ = 192807838080. Its totient is φ = 38051914752.

The previous prime is 101120002273. The next prime is 101120002351. The reversal of 101120002310 is 13200021101.

It is a super-3 number, since 3×1011200023103 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101120002291 and 101120002300.

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, 258746 + ... + 518834.

It is an arithmetic number, because the mean of its divisors is an integer number (6025244940).

Almost surely, 2101120002310 is an apocalyptic number.

101120002310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120002310 is a deficient number, since it is larger than the sum of its proper divisors (91687835770).

101120002310 is a wasteful number, since it uses less digits than its factorization.

101120002310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262400.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101120002310 its reverse (13200021101), we get a palindrome (114320023411).

The spelling of 101120002310 in words is "one hundred one billion, one hundred twenty million, two thousand, three hundred ten".

Divisors: 1 2 5 10 17 34 85 170 2287 4574 11435 22870 38879 77758 194395 260089 388790 520178 1300445 2600890 4421513 8843026 22107565 44215130 594823543 1189647086 2974117715 5948235430 10112000231 20224000462 50560001155 101120002310