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101200022012 = 221943971312437
BaseRepresentation
bin101111000111111111…
…1011100100111111100
3100200012210200202222102
41132033333130213330
53124224201201022
6114253551404232
710211554664645
oct1361777344774
9320183622872
10101200022012
1139a11857431
1217743823678
13970a310c3b
144c805986cc
15297477ba92
hex178ffdc9fc

101200022012 has 96 divisors (see below), whose sum is σ = 194273882880. Its totient is φ = 45966735360.

The previous prime is 101200022003. The next prime is 101200022017. The reversal of 101200022012 is 210220002101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101200021984 and 101200022002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200022017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41525258 + ... + 41527694.

It is an arithmetic number, because the mean of its divisors is an integer number (2023686280).

Almost surely, 2101200022012 is an apocalyptic number.

It is an amenable number.

101200022012 is a deficient number, since it is larger than the sum of its proper divisors (93073860868).

101200022012 is a wasteful number, since it uses less digits than its factorization.

101200022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101200022012 its reverse (210220002101), we get a palindrome (311420024113).

The spelling of 101200022012 in words is "one hundred one billion, two hundred million, twenty-two thousand, twelve".

Divisors: 1 2 4 19 38 43 76 86 97 131 172 194 262 388 524 817 1634 1843 2437 2489 3268 3686 4171 4874 4978 5633 7372 8342 9748 9956 11266 12707 16684 22532 25414 46303 50828 79249 92606 104791 107027 158498 185212 209582 214054 236389 241433 316996 319247 419164 428108 472778 482866 546401 638494 945556 965732 1092802 1276988 1991029 2185604 3982058 4491391 6065693 7964116 8982782 10164727 10381619 12131386 13727621 17965564 20329454 20763238 24262772 27455242 30966959 40658908 41526476 54910484 61933918 123867836 193129813 260824799 386259626 521649598 588372221 772519252 1043299196 1176744442 1331579237 2353488884 2663158474 5326316948 25300005503 50600011006 101200022012