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1000211011110 = 2325173753333367
BaseRepresentation
bin11101000111000010011…
…10001101011000100110
310112121201102110220022100
432203201032031120212
5112341413004323420
62043253545112530
7132156106213533
oct16434116153046
93477642426270
101000211011110
11356207049743
12141a20788746
137341cc0999c
14365a6493d8a
151b040048190
hexe8e138d626

1000211011110 has 192 divisors, whose sum is σ = 2881307624832. Its totient is φ = 239639482368.

The previous prime is 1000211011103. The next prime is 1000211011157. The reversal of 1000211011110 is 111101120001.

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 = 1000211011092 and 1000211011101.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2833647 + ... + 3167013.

It is an arithmetic number, because the mean of its divisors is an integer number (15006810546).

Almost surely, 21000211011110 is an apocalyptic number.

1000211011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000211011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440653812416).

1000211011110 is an abundant number, since it is smaller than the sum of its proper divisors (1881096613722).

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

1000211011110 is a wasteful number, since it uses less digits than its factorization.

1000211011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333487 (or 333484 counting only the distinct ones).

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

Adding to 1000211011110 its reverse (111101120001), we get a palindrome (1111312131111).

The spelling of 1000211011110 in words is "one trillion, two hundred eleven million, eleven thousand, one hundred ten".