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1123011132001 = 111773409201139
BaseRepresentation
bin10000010101111000101…
…011011111101001100001
310222100200120120101112221
4100111320223133221201
5121344411322211001
62215523145551041
7144064156056643
oct20257053375141
93870616511487
101123011132001
113a32a2564060
121617921a5481
1381b90264305
143c4d5652893
151e32ac5e1a1
hex10578adfa61

1123011132001 has 32 divisors (see below), whose sum is σ = 1318158921600. Its totient is φ = 945380782080.

The previous prime is 1123011131989. The next prime is 1123011132013. The reversal of 1123011132001 is 1002311103211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1123011131989) and next prime (1123011132013).

It is not a de Polignac number, because 1123011132001 - 219 = 1123010607713 is a prime.

It is a super-2 number, since 2×11230111320012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1123011432001) 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, 5482690 + ... + 5683828.

It is an arithmetic number, because the mean of its divisors is an integer number (41192466300).

Almost surely, 21123011132001 is an apocalyptic number.

1123011132001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1123011132001 is a deficient number, since it is larger than the sum of its proper divisors (195147789599).

1123011132001 is a wasteful number, since it uses less digits than its factorization.

1123011132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201649.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1123011132001 its reverse (1002311103211), we get a palindrome (2125322235212).

The spelling of 1123011132001 in words is "one trillion, one hundred twenty-three billion, eleven million, one hundred thirty-two thousand, one".

Divisors: 1 11 17 73 187 409 803 1241 4499 6953 13651 29857 76483 201139 328427 507569 2212529 3419363 5583259 14683147 37612993 82265851 161514617 249613499 904924361 1398519467 2745748489 6005407123 15383714137 66059478353 102091921091 1123011132001