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10111002011110 = 25711131010090111
BaseRepresentation
bin1001001100100010011010…
…1011101110010111100110
31022210121021010002200001001
42103020212223232113212
52311124313003323420
633300532531223514
72062332025023040
oct223104653562746
938717233080031
1010111002011110
113249063050990
1211736b6147b9a
13584604117ac0
1426d537424a90
15128024eb7b0a
hex93226aee5e6

10111002011110 has 64 divisors (see below), whose sum is σ = 24436099989504. Its totient is φ = 2909059516800.

The previous prime is 10111002011003. The next prime is 10111002011171. The reversal of 10111002011110 is 1111020011101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505035046 + ... + 505055065.

It is an arithmetic number, because the mean of its divisors is an integer number (381814062336).

Almost surely, 210111002011110 is an apocalyptic number.

10111002011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10111002011110 is an abundant number, since it is smaller than the sum of its proper divisors (14325097978394).

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

10111002011110 is a wasteful number, since it uses less digits than its factorization.

10111002011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010090149.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111002011110 its reverse (1111020011101), we get a palindrome (11222022022211).

Subtracting from 10111002011110 its reverse (1111020011101), we obtain a square (8999982000009 = 29999972).

The spelling of 10111002011110 in words is "ten trillion, one hundred eleven billion, two million, eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 1010090111 2020180222 5050450555 7070630777 10100901110 11110991221 13131171443 14141261554 22221982442 26262342886 35353153885 55554956105 65655857215 70706307770 77776938547 91918200101 111109912210 131311714430 144442885873 155553877094 183836400202 288885771746 388884692735 459591000505 722214429365 777769385470 919182001010 1011100201111 1444428858730 2022200402222 5055501005555 10111002011110