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100220012211213 = 3512716189200597
BaseRepresentation
bin10110110010011001001010…
…001110100010110000001101
3111010211221100222002212200000
4112302121022032202300031
5101114001041111224323
6553052234335554513
730052441221112326
oct2662311216426015
9433757328085600
10100220012211213
1129a2a083187904
12b2a738738ba39
1343bc925526bcb
141aa6962a7744d
15b8be44ac2e43
hex5b264a3a2c0d

100220012211213 has 48 divisors (see below), whose sum is σ = 151315982039040. Its totient is φ = 66282827155776.

The previous prime is 100220012211199. The next prime is 100220012211223. The reversal of 100220012211213 is 312112210022001.

100220012211213 is a `hidden beast` number, since 10 + 0 + 220 + 0 + 1 + 221 + 1 + 213 = 666.

It is not a de Polignac number, because 100220012211213 - 210 = 100220012210189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220012211223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499508431 + ... + 499709027.

It is an arithmetic number, because the mean of its divisors is an integer number (3152416292480).

Almost surely, 2100220012211213 is an apocalyptic number.

It is an amenable number.

100220012211213 is a deficient number, since it is larger than the sum of its proper divisors (51095969827827).

100220012211213 is a wasteful number, since it uses less digits than its factorization.

100220012211213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216928 (or 216916 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100220012211213 its reverse (312112210022001), we get a palindrome (412332222233214).

The spelling of 100220012211213 in words is "one hundred trillion, two hundred twenty billion, twelve million, two hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 127 243 381 1143 3429 10287 16189 30861 48567 145701 200597 437103 601791 1311309 1805373 2056003 3933927 5416119 6168009 16248357 18504027 25475819 48745071 55512081 76427457 166536243 229282371 499608729 687847113 2063541339 3247464833 6190624017 9742394499 29227183497 87681550491 263044651473 412428033791 789133954419 1237284101373 3711852304119 11135556912357 33406670737071 100220012211213