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1011000434311 = 71724911017827
BaseRepresentation
bin11101011011001000101…
…00100101111010000111
310120122120100200101111001
432231210110211322013
5113031012102344221
62052240331554131
7133020350621050
oct16554424457207
93518510611431
101011000434311
1135a84343001a
12143b31bbb947
137444c315a7a
1436d0b3cb727
151b47238e391
hexeb64525e87

1011000434311 has 24 divisors (see below), whose sum is σ = 1229894499456. Its totient is φ = 813935095680.

The previous prime is 1011000434299. The next prime is 1011000434321. The reversal of 1011000434311 is 1134340001101.

It is not a de Polignac number, because 1011000434311 - 213 = 1011000426119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011000434321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484380 + ... + 1502206.

It is an arithmetic number, because the mean of its divisors is an integer number (51245604144).

Almost surely, 21011000434311 is an apocalyptic number.

1011000434311 is a deficient number, since it is larger than the sum of its proper divisors (218894065145).

1011000434311 is a wasteful number, since it uses less digits than its factorization.

1011000434311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018359 (or 1018342 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1011000434311 its reverse (1134340001101), we get a palindrome (2145340435412).

The spelling of 1011000434311 in words is "one trillion, eleven billion, four hundred thirty-four thousand, three hundred eleven".

Divisors: 1 7 17 119 289 491 2023 3437 8347 58429 141899 993293 1017827 7124789 17303059 121121413 294152003 499753057 2059064021 3498271399 8495801969 59470613783 144428633473 1011000434311