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101110111020 = 22325561722839
BaseRepresentation
bin101111000101010100…
…0011101101100101100
3100122222112111211021200
41132022220131230230
53124033142023040
6114241020325500
710206413522532
oct1361250355454
9318875454250
10101110111020
1139976026a26
12177196a3890
1396c47c0679
144c72672152
15296b91b630
hex178aa1db2c

101110111020 has 36 divisors (see below), whose sum is σ = 306700670640. Its totient is φ = 26962696224.

The previous prime is 101110110961. The next prime is 101110111049. The reversal of 101110111020 is 20111011101.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 101110110993 and 101110111011.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 280861240 + ... + 280861599.

Almost surely, 2101110111020 is an apocalyptic number.

101110111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110111020 is an abundant number, since it is smaller than the sum of its proper divisors (205590559620).

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

101110111020 is a wasteful number, since it uses less digits than its factorization.

101110111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561722854 (or 561722849 counting only the distinct ones).

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

Adding to 101110111020 its reverse (20111011101), we get a palindrome (121221122121).

It can be divided in two parts, 1011101 and 11020, that added together give a square (1022121 = 10112).

The spelling of 101110111020 in words is "one hundred one billion, one hundred ten million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 561722839 1123445678 1685168517 2246891356 2808614195 3370337034 5055505551 5617228390 6740674068 8425842585 10111011102 11234456780 16851685170 20222022204 25277527755 33703370340 50555055510 101110111020