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1000111220010 = 23257103113136393
BaseRepresentation
bin11101000110110110100…
…01100010010100101010
310112121110110200222122200
432203123101202110222
5112341211433020020
62043240022201030
7132153455051430
oct16433321422452
93477413628580
101000111220010
11356165790161
121419b3283176
137340533a2b6
1436597118d50
151b0363d5590
hexe8db46252a

1000111220010 has 192 divisors, whose sum is σ = 3027187358208. Its totient is φ = 224372477952.

The previous prime is 1000111219981. The next prime is 1000111220023. The reversal of 1000111220010 is 100221110001.

It is a happy number.

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 = 1000111219974 and 1000111220001.

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, 7264374 + ... + 7400766.

It is an arithmetic number, because the mean of its divisors is an integer number (15766600824).

Almost surely, 21000111220010 is an apocalyptic number.

1000111220010 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 1000111220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513593679104).

1000111220010 is an abundant number, since it is smaller than the sum of its proper divisors (2027076138198).

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

1000111220010 is a wasteful number, since it uses less digits than its factorization.

1000111220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136629 (or 136626 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000111220010 its reverse (100221110001), we get a palindrome (1100332330011).

The spelling of 1000111220010 in words is "one trillion, one hundred eleven million, two hundred twenty thousand, ten".