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10011211110 = 2325202754877
BaseRepresentation
bin10010101001011011…
…01111010101100110
3221211200212012212200
421110231233111212
5131000332223420
64333222555330
7503041614255
oct112455572546
927750765780
1010011211110
11427808209a
121b34898b46
13c37114374
146ad84079c
153d8d74b90
hex254b6f566

10011211110 has 48 divisors (see below), whose sum is σ = 26042464656. Its totient is φ = 2668290624.

The previous prime is 10011211079. The next prime is 10011211117. The reversal of 10011211110 is 1111211001.

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 = 10011211092 and 10011211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011211117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154992 + ... + 209868.

It is an arithmetic number, because the mean of its divisors is an integer number (542551347).

Almost surely, 210011211110 is an apocalyptic number.

10011211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011211110 is an abundant number, since it is smaller than the sum of its proper divisors (16031253546).

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

10011211110 is a wasteful number, since it uses less digits than its factorization.

10011211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56917 (or 56914 counting only the distinct ones).

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

Adding to 10011211110 its reverse (1111211001), we get a palindrome (11122422111).

The spelling of 10011211110 in words is "ten billion, eleven million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2027 4054 6081 10135 12162 18243 20270 30405 36486 54877 60810 91215 109754 164631 182430 274385 329262 493893 548770 823155 987786 1646310 2469465 4938930 111235679 222471358 333707037 556178395 667414074 1001121111 1112356790 1668535185 2002242222 3337070370 5005605555 10011211110