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10101211011 = 32173753131257
BaseRepresentation
bin10010110100001010…
…00011111110000011
3222001222012200112100
421122011003332003
5131141402223021
64350200001443
7505213606533
oct113205037603
928058180470
1010101211011
114313963381
121b5aa60283
13c4c966248
146bb78b4c3
153e1c01626
hex25a143f83

10101211011 has 96 divisors (see below), whose sum is σ = 16352601408. Its totient is φ = 5980815360.

The previous prime is 10101210997. The next prime is 10101211013. The reversal of 10101211011 is 11011210101.

It is not a de Polignac number, because 10101211011 - 29 = 10101210499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101210984 and 10101211002.

It is not an unprimeable number, because it can be changed into a prime (10101211013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39304195 + ... + 39304451.

It is an arithmetic number, because the mean of its divisors is an integer number (170339598).

Almost surely, 210101211011 is an apocalyptic number.

10101211011 is a deficient number, since it is larger than the sum of its proper divisors (6251390397).

10101211011 is a wasteful number, since it uses less digits than its factorization.

10101211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101211011 its reverse (11011210101), we get a palindrome (21112421112).

The spelling of 10101211011 in words is "ten billion, one hundred one million, two hundred eleven thousand, eleven".

Divisors: 1 3 9 17 37 51 53 111 131 153 159 257 333 393 477 629 771 901 1179 1887 1961 2227 2313 2703 4369 4847 5661 5883 6681 6943 8109 9509 13107 13621 14541 17649 20043 20829 28527 33337 33667 39321 40863 43623 62487 82399 85581 100011 101001 118031 122589 161653 231557 247197 256891 300033 303003 354093 484959 503977 572339 694671 741591 770673 1062279 1245679 1454877 1511931 1717017 1784351 2084013 2312019 3737037 4367147 4535793 5151051 5353053 8567609 11211111 13101441 16059159 21176543 25702827 30333967 39304323 63529629 66020987 77108481 91001901 190588887 198062961 273005703 594188883 1122356779 3367070337 10101211011