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1011601000040 = 23581113117991
BaseRepresentation
bin11101011100010000001…
…11100100011001101000
310120201010012202021210012
432232020013210121220
5113033224324000130
62052420104111052
7133041262424411
oct16561007443150
93521105667705
101011601000040
11360021434a34
1214407b165488
137451687bcc7
1436d67080808
151b4a9e6e995
hexeb881e4668

1011601000040 has 32 divisors (see below), whose sum is σ = 2276383599360. Its totient is φ = 404590382400.

The previous prime is 1011601000027. The next prime is 1011601000073. The reversal of 1011601000040 is 400001061101.

It is a junction number, because it is equal to n+sod(n) for n = 1011600999979 and 1011601000024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1234556 + ... + 1883435.

It is an arithmetic number, because the mean of its divisors is an integer number (71136987480).

Almost surely, 21011601000040 is an apocalyptic number.

1011601000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011601000040 is an abundant number, since it is smaller than the sum of its proper divisors (1264782599320).

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

1011601000040 is a wasteful number, since it uses less digits than its factorization.

1011601000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126113 (or 3126109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1011601000040 its reverse (400001061101), we get a palindrome (1411602061141).

The spelling of 1011601000040 in words is "one trillion, eleven billion, six hundred one million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 8111 16222 32444 40555 64888 81110 162220 324440 3117991 6235982 12471964 15589955 24943928 31179910 62359820 124719640 25290025001 50580050002 101160100004 126450125005 202320200008 252900250010 505800500020 1011601000040