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10100101111011 = 32371311632575527
BaseRepresentation
bin1001001011111001110011…
…1100000101110011100011
31022202120010102010120022100
42102332130330011303203
52310440001341023021
633251531123141443
72061464630633142
oct222763474056343
938676112116270
1010100101111011
11324447984a33a
121171573514883
135835878aa362
1426cbc178d759
15127ad7ea1626
hex92f9cf05ce3

10100101111011 has 96 divisors (see below), whose sum is σ = 15252199193088. Its totient is φ = 6435213557760.

The previous prime is 10100101110997. The next prime is 10100101111013. The reversal of 10100101111011 is 11011110100101.

It is not a de Polignac number, because 10100101111011 - 229 = 10099564240099 is a prime.

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

10100101111011 is a modest number, since divided by 1111011 gives 101001 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10100101110984 and 10100101111002.

It is not an unprimeable number, because it can be changed into a prime (10100101111013) 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, 1827408330 + ... + 1827413856.

It is an arithmetic number, because the mean of its divisors is an integer number (158877074928).

Almost surely, 210100101111011 is an apocalyptic number.

10100101111011 is a deficient number, since it is larger than the sum of its proper divisors (5152098082077).

10100101111011 is a wasteful number, since it uses less digits than its factorization.

10100101111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6121 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10100101111011 its reverse (11011110100101), we get a palindrome (21111211211112).

The spelling of 10100101111011 in words is "ten trillion, one hundred billion, one hundred one million, one hundred eleven thousand, eleven".

Divisors: 1 3 9 37 111 131 163 257 333 393 489 771 1179 1467 2313 4847 5527 6031 9509 14541 16581 18093 21353 28527 33667 41891 43623 49743 54279 64059 85581 101001 125673 192177 204499 303003 377019 613497 724037 790061 900901 1245679 1420439 1549967 1840491 2172111 2370183 2702703 3737037 4261317 4649901 5487721 6516333 7110549 8108109 11211111 12783951 13949703 16463163 26789369 33333337 49389489 52556243 80368107 100000011 118018031 157668729 186077509 203045677 231531557 241104321 300000033 354054093 473006187 558232527 609137031 694594671 1062162279 1674697581 1827411093 2083784013 4366667147 6884867833 8566667609 13100001441 20654603499 25700002827 30330633967 39300004323 61963810497 77100008481 90991901901 272975705703 1122233456779 3366700370337 10100101111011