Search a number
-
+
101011100111010 = 23253795027319211
BaseRepresentation
bin10110111101111001111010…
…101111011001000010100010
3111020122120022020120000111100
4112331321322233121002202
5101214431213112023020
6554455505255055230
730163545140241045
oct2675717257310242
9436576266500440
10101011100111010
112a204626727831
12b3b4765071516
1344493c8cbb2bb
141ad2d6b548c5c
15ba27e579ca90
hex5bde7abd90a2

101011100111010 has 96 divisors (see below), whose sum is σ = 269730621006912. Its totient is φ = 26207927533440.

The previous prime is 101011100110967. The next prime is 101011100111021. The reversal of 101011100111010 is 10111001110101.

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 = 101011100110983 and 101011100111001.

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, 316280305 + ... + 316599515.

It is an arithmetic number, because the mean of its divisors is an integer number (2809693968822).

Almost surely, 2101011100111010 is an apocalyptic number.

101011100111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011100111010 is an abundant number, since it is smaller than the sum of its proper divisors (168719520895902).

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

101011100111010 is a wasteful number, since it uses less digits than its factorization.

101011100111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414288 (or 414285 counting only the distinct ones).

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

Adding to 101011100111010 its reverse (10111001110101), we get a palindrome (111122101221111).

Subtracting from 101011100111010 its reverse (10111001110101), we obtain a palindrome (90900099000909).

The spelling of 101011100111010 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 95027 190054 285081 319211 475135 570162 638422 855243 950270 957633 1425405 1596055 1710486 1915266 2850810 2872899 3192110 3515999 4276215 4788165 5745798 7031998 8552430 9576330 10547997 11810807 14364495 17579995 21095994 23621614 28728990 31643991 35159990 35432421 52739985 59054035 63287982 70864842 105479970 106297263 118108070 158219955 177162105 212594526 316439910 354324210 531486315 1062972630 30333663697 60667327394 91000991091 151668318485 182001982182 273002973273 303336636970 455004955455 546005946546 910009910910 1122345556789 1365014866365 2244691113578 2730029732730 3367036670367 5611727783945 6734073340734 10101110011101 11223455567890 16835183351835 20202220022202 33670366703670 50505550055505 101011100111010