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101001111110010 = 23253743705364279
BaseRepresentation
bin10110111101110000100111…
…010110011000000101111010
3111020121121112002111012011100
4112331300213112120011322
5101214300233421010020
6554451134144112230
730163042455156126
oct2675604726300572
9436547462435140
10101001111110010
112a200370145501
12b3b2837905676
134448496682317
141ad26a0a4a586
15ba240d863a90
hex5bdc2759817a

101001111110010 has 96 divisors (see below), whose sum is σ = 275972363821440. Its totient is φ = 25596258920064.

The previous prime is 101001111109991. The next prime is 101001111110077. The reversal of 101001111110010 is 10011111100101.

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 = 101001111109974 and 101001111110001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352538950 + ... + 352825329.

It is an arithmetic number, because the mean of its divisors is an integer number (2874712123140).

Almost surely, 2101001111110010 is an apocalyptic number.

101001111110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001111110010 is an abundant number, since it is smaller than the sum of its proper divisors (174971252711430).

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

101001111110010 is a wasteful number, since it uses less digits than its factorization.

101001111110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705364372 (or 705364369 counting only the distinct ones).

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

Adding to 101001111110010 its reverse (10011111100101), we get a palindrome (111012222210111).

Subtracting from 101001111110010 its reverse (10011111100101), we obtain a palindrome (90990000009909).

The spelling of 101001111110010 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 43 45 74 86 90 111 129 185 215 222 258 333 370 387 430 555 645 666 774 1110 1290 1591 1665 1935 3182 3330 3870 4773 7955 9546 14319 15910 23865 28638 47730 71595 143190 705364279 1410728558 2116092837 3526821395 4232185674 6348278511 7053642790 10580464185 12696557022 21160928370 26098478323 30330663997 31741392555 52196956646 60661327994 63482785110 78295434969 90991991991 130492391615 151653319985 156590869938 181983983982 234886304907 260984783230 272975975973 303306639970 391477174845 454959959955 469772609814 545951951946 782954349690 909919919910 1122234567889 1174431524535 1364879879865 2244469135778 2348863049070 2729759759730 3366703703667 5611172839445 6733407407334 10100111111001 11222345678890 16833518518335 20200222222002 33667037036670 50500555555005 101001111110010