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1111022000010 = 23251361149191547
BaseRepresentation
bin10000001010101110000…
…100100101011110001010
310221012202000220101022100
4100022232010211132022
5121200333113000020
62210221345134230
7143161106116236
oct20125604453612
93835660811270
101111022000010
113991aaa5580a
1215b3a702a376
13809cc436480
143bab92635c6
151dd78438a90
hex102ae12578a

1111022000010 has 384 divisors, whose sum is σ = 3205594828800. Its totient is φ = 265308825600.

The previous prime is 1111022000009. The next prime is 1111022000047. The reversal of 1111022000010 is 100002201111.

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 = 1111021999956 and 1111022000001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2031118557 + ... + 2031119103.

It is an arithmetic number, because the mean of its divisors is an integer number (8347903200).

Almost surely, 21111022000010 is an apocalyptic number.

1111022000010 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 1111022000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602797414400).

1111022000010 is an abundant number, since it is smaller than the sum of its proper divisors (2094572828790).

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

1111022000010 is a wasteful number, since it uses less digits than its factorization.

1111022000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 971 counting only the distinct ones).

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

Adding to 1111022000010 its reverse (100002201111), we get a palindrome (1211024201121).

It can be divided in two parts, 111102 and 2000010, that added together give a palindrome (2111112).

The spelling of 1111022000010 in words is "one trillion, one hundred eleven billion, twenty-two million, ten", and thus it is an aban number.