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101200212022 = 27131917194049
BaseRepresentation
bin101111001000000000…
…0001011000000110110
3100200012211001102121211
41132100000023000312
53124224223241042
6114253555432034
710211556415630
oct1362000130066
9320184042554
10101200212022
1139a11977168
12177438b561a
13970a379580
144c80607a50
1529747b8017
hex179000b036

101200212022 has 64 divisors (see below), whose sum is σ = 188116992000. Its totient is φ = 39760427520.

The previous prime is 101200212013. The next prime is 101200212049. The reversal of 101200212022 is 220212002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101200211993 and 101200212011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24991854 + ... + 24995902.

It is an arithmetic number, because the mean of its divisors is an integer number (2939328000).

Almost surely, 2101200212022 is an apocalyptic number.

101200212022 is a deficient number, since it is larger than the sum of its proper divisors (86916779978).

101200212022 is a wasteful number, since it uses less digits than its factorization.

101200212022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101200212022 its reverse (220212002101), we get a palindrome (321412214123).

The spelling of 101200212022 in words is "one hundred one billion, two hundred million, two hundred twelve thousand, twenty-two".

Divisors: 1 2 7 13 14 26 91 182 191 382 719 1337 1438 2483 2674 4049 4966 5033 8098 9347 10066 17381 18694 28343 34762 52637 56686 65429 105274 130858 137329 274658 368459 736918 773359 961303 1546718 1785277 1922606 2911231 3570554 5413513 5822462 10053667 10827026 12496939 20107334 20378617 24993878 37846003 40757234 70375669 75692006 140751338 264922021 529844042 556045121 1112090242 3892315847 7228586573 7784631694 14457173146 50600106011 101200212022