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1111000100010 = 235378391192969
BaseRepresentation
bin10000001010101100110…
…001000010110010101010
310221012200111200202011020
4100022230301002302222
5121200312011200020
62210215243513310
7143160422014653
oct20125461026252
93835614622136
101111000100010
11399199657a39
1215b39b828836
13809c7a392a8
143bab63a252a
151dd7655ec40
hex102acc42caa

1111000100010 has 64 divisors (see below), whose sum is σ = 2741731372800. Its totient is φ = 287915668992.

The previous prime is 1111000099991. The next prime is 1111000100017. The reversal of 1111000100010 is 100010001111.

It is a Harshad number since it is a multiple of its sum of digits (6).

1111000100010 is a modest number, since divided by 100010 gives 11110 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1111000100017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334806 + ... + 1527774.

It is an arithmetic number, because the mean of its divisors is an integer number (42839552700).

Almost surely, 21111000100010 is an apocalyptic number.

1111000100010 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 1111000100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370865686400).

1111000100010 is an abundant number, since it is smaller than the sum of its proper divisors (1630731272790).

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

1111000100010 is a wasteful number, since it uses less digits than its factorization.

1111000100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193855.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1111000100010 its reverse (100010001111), we get a palindrome (1211010101121).

The spelling of 1111000100010 in words is "one trillion, one hundred eleven billion, one hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 839 1110 1678 2517 4195 5034 8390 12585 25170 31043 62086 93129 155215 186258 310430 465645 931290 1192969 2385938 3578907 5964845 7157814 11929690 17894535 35789070 44139853 88279706 132419559 220699265 264839118 441398530 662097795 1000900991 1324195590 2001801982 3002702973 5004504955 6005405946 10009009910 15013514865 30027029730 37033336667 74066673334 111100010001 185166683335 222200020002 370333366670 555500050005 1111000100010