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1142144001331 = 671271732573019
BaseRepresentation
bin10000100111101101000…
…101100110010100110011
311001012001222102212010221
4100213231011212110303
5122203102331020311
62232405501433511
7145342251554044
oct20475505462463
94035058385127
101142144001331
11400420570a63
1216543186b897
138391c0b3578
143d3cc6d68cb
151ea9a7e2671
hex109ed166533

1142144001331 has 32 divisors (see below), whose sum is σ = 1180034703360. Its totient is φ = 1105101398016.

The previous prime is 1142144001269. The next prime is 1142144001347. The reversal of 1142144001331 is 1331004412411.

It is a cyclic number.

It is not a de Polignac number, because 1142144001331 - 29 = 1142144000819 is a prime.

It is a super-2 number, since 2×11421440013312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1142144001296 and 1142144001305.

It is not an unprimeable number, because it can be changed into a prime (1142144002331) 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, 378317140 + ... + 378320158.

It is an arithmetic number, because the mean of its divisors is an integer number (36876084480).

Almost surely, 21142144001331 is an apocalyptic number.

1142144001331 is a deficient number, since it is larger than the sum of its proper divisors (37890702029).

1142144001331 is a wasteful number, since it uses less digits than its factorization.

1142144001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1142144001331 its reverse (1331004412411), we get a palindrome (2473148413742).

The spelling of 1142144001331 in words is "one trillion, one hundred forty-two billion, one hundred forty-four million, one thousand, three hundred thirty-one".

Divisors: 1 67 127 173 257 3019 8509 11591 17219 21971 32639 44461 202273 383413 522287 775883 1472057 2186813 2978887 5646547 25688671 34993229 51984161 66330449 98537141 134227759 378318649 4444140083 6601988447 8993259853 17046925393 1142144001331