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101110110010 = 257131723328051
BaseRepresentation
bin101111000101010100…
…0011101011100111010
3100122222112111202220021
41132022220131130322
53124033142010020
6114241020321054
710206413516560
oct1361250353472
9318875452807
10101110110010
1139976026198
12177196a318a
1396c47c0080
144c72671a30
15296b91b1aa
hex178aa1d73a

101110110010 has 128 divisors (see below), whose sum is σ = 238200528384. Its totient is φ = 29987020800.

The previous prime is 101110109987. The next prime is 101110110037. The reversal of 101110110010 is 10011011101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101110109975 and 101110110002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3590485 + ... + 3618535.

It is an arithmetic number, because the mean of its divisors is an integer number (1860941628).

Almost surely, 2101110110010 is an apocalyptic number.

101110110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110110010 is an abundant number, since it is smaller than the sum of its proper divisors (137090418374).

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

101110110010 is a wasteful number, since it uses less digits than its factorization.

101110110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28328.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101110110010 its reverse (10011011101), we get a palindrome (111121121111).

The spelling of 101110110010 in words is "one hundred one billion, one hundred ten million, one hundred ten thousand, ten".

Divisors: 1 2 5 7 10 13 14 17 26 34 35 65 70 85 91 119 130 170 182 221 233 238 442 455 466 595 910 1105 1165 1190 1547 1631 2210 2330 3029 3094 3262 3961 6058 7735 7922 8155 15145 15470 16310 19805 21203 27727 28051 30290 39610 42406 51493 55454 56102 102986 106015 138635 140255 196357 212030 257465 277270 280510 360451 364663 392714 476867 514930 720902 729326 953734 981785 1802255 1823315 1963570 2384335 2552641 3338069 3604510 3646630 4768670 5105282 6199271 6535883 6676138 12398542 12763205 13071766 16690345 25526410 30996355 32679415 33380690 43394897 45751181 61992710 65358830 84966479 86789794 91502362 111110011 169932958 216974485 222220022 228755905 424832395 433948970 457511810 555550055 594765353 777770077 849664790 1111100110 1189530706 1444430143 1555540154 2888860286 2973826765 3888850385 5947653530 7222150715 7777700770 10111011001 14444301430 20222022002 50555055005 101110110010