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10101200010018 = 2313673371573383
BaseRepresentation
bin1001001011111101111001…
…1100000011101100100010
31022202122221222220102100120
42102333132130003230202
52310444224200310033
633252232140301110
72061534103262265
oct222773634035442
938678858812316
1010101200010018
113244993082437
12117181b541796
13583701463b60
1426cc876c2cdc
15127b4e6bb1b3
hex92fde703b22

10101200010018 has 64 divisors (see below), whose sum is σ = 22087742487552. Its totient is φ = 3060758986560.

The previous prime is 10101200010017. The next prime is 10101200010023. The reversal of 10101200010018 is 81001000210101.

It is a junction number, because it is equal to n+sod(n) for n = 10101200009979 and 10101200010006.

It is not an unprimeable number, because it can be changed into a prime (10101200010017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17330155 + ... + 17903537.

It is an arithmetic number, because the mean of its divisors is an integer number (345120976368).

Almost surely, 210101200010018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101200010018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11043871243776).

10101200010018 is an abundant number, since it is smaller than the sum of its proper divisors (11986542477534).

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

10101200010018 is a wasteful number, since it uses less digits than its factorization.

10101200010018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576839.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10101200010018 its reverse (81001000210101), we get a palindrome (91102200220119).

The spelling of 10101200010018 in words is "ten trillion, one hundred one billion, two hundred million, ten thousand, eighteen".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 871 1742 2613 3371 5226 6742 10113 20226 43823 87646 131469 225857 262938 451714 573383 677571 1146766 1355142 1720149 2936141 3440298 5872282 7453979 8808423 14907958 17616846 22361937 38416661 44723874 76833322 115249983 230499966 499416593 998833186 1498249779 1932874093 2996499558 3865748186 5798622279 11597244558 25127363209 50254726418 75382089627 129502564231 150764179254 259005128462 388507692693 777015385386 1683533335003 3367066670006 5050600005009 10101200010018