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20101020212 = 2271322925051
BaseRepresentation
bin10010101110000111…
…010011101000110100
31220212212121121221002
4102232013103220310
5312131330121322
613122334342432
71311056565320
oct225607235064
956785547832
1020101020212
118585557aa9
123a8b95aa18
131b845b7900
14d898a0980
157c9a72c92
hex4ae1d3a34

20101020212 has 108 divisors (see below), whose sum is σ = 45094192416. Its totient is φ = 7676323200.

The previous prime is 20101020139. The next prime is 20101020257. The reversal of 20101020212 is 21202010102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20101020193 and 20101020202.

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 35 ways as a sum of consecutive naturals, for example, 3977087 + ... + 3982137.

Almost surely, 220101020212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22547096208).

20101020212 is an abundant number, since it is smaller than the sum of its proper divisors (24993172204).

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

20101020212 is a wasteful number, since it uses less digits than its factorization.

20101020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 5102 counting only the distinct ones).

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

Adding to 20101020212 its reverse (21202010102), we get a palindrome (41303030314).

The spelling of 20101020212 in words is "twenty billion, one hundred one million, twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 169 182 203 338 364 377 406 676 754 812 841 1183 1508 1682 2366 2639 3364 4732 4901 5051 5278 5887 9802 10102 10556 10933 11774 19604 20204 21866 23548 34307 35357 43732 65663 68614 70714 76531 131326 137228 141428 142129 146479 153062 262652 284258 292958 306124 459641 568516 585916 853619 919282 994903 1025353 1707238 1838564 1904227 1989806 2050706 3414476 3808454 3979612 4101412 4247891 5975333 7616908 8495782 11950666 13329589 16991564 23901332 24754951 26659178 29735237 49509902 53318356 55222583 59470474 99019804 110445166 118940948 173284657 220890332 346569314 386558081 693138628 717893579 773116162 1435787158 1546232324 2871574316 5025255053 10050510106 20101020212