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1111000101012 = 223230861113917
BaseRepresentation
bin10000001010101100110…
…001000011000010010100
310221012200111200210112100
4100022230301003002110
5121200312011213022
62210215243522100
7143160422020614
oct20125461030224
93835614623470
101111000101012
1139919965876a
1215b39b829330
13809c7a39899
143bab63a2a44
151dd765601ac
hex102acc43094

1111000101012 has 18 divisors (see below), whose sum is σ = 2808361366538. Its totient is φ = 370333366992.

The previous prime is 1111000100981. The next prime is 1111000101017. The reversal of 1111000101012 is 2101010001111.

It can be written as a sum of positive squares in only one way, i.e., 1080260894736 + 30739206276 = 1039356^2 + 175326^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 1111000100985 and 1111000101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111000101017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15430556923 + ... + 15430556994.

Almost surely, 21111000101012 is an apocalyptic number.

1111000101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1111000101012 is an abundant number, since it is smaller than the sum of its proper divisors (1697361265526).

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

1111000101012 is a wasteful number, since it uses less digits than its factorization.

1111000101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30861113927 (or 30861113922 counting only the distinct ones).

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

Adding to 1111000101012 its reverse (2101010001111), we get a palindrome (3212010102123).

Subtracting 1111000101012 from its reverse (2101010001111), we obtain a palindrome (990009900099).

The spelling of 1111000101012 in words is "one trillion, one hundred eleven billion, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 30861113917 61722227834 92583341751 123444455668 185166683502 277750025253 370333367004 555500050506 1111000101012