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1001001011101 = 71361715925189
BaseRepresentation
bin11101001000100000100…
…11110100011110011101
310112200202111000001120021
432210100103310132131
5112400022224323401
62043504205352141
7132214511130520
oct16442023643635
93480674001507
101001001011101
11356581a7a3a3
12142001268651
137351779acc0
143663d378bb7
151b0895972a1
hexe9104f479d

1001001011101 has 32 divisors (see below), whose sum is σ = 1252422617600. Its totient is φ = 778877441280.

The previous prime is 1001001011057. The next prime is 1001001011113. The reversal of 1001001011101 is 1011101001001.

It is a happy number.

1001001011101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001001011101 - 29 = 1001001010589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001601011101) 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, 39727015 + ... + 39752203.

It is an arithmetic number, because the mean of its divisors is an integer number (39138206800).

Almost surely, 21001001011101 is an apocalyptic number.

It is an amenable number.

1001001011101 is a deficient number, since it is larger than the sum of its proper divisors (251421606499).

1001001011101 is a wasteful number, since it uses less digits than its factorization.

1001001011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32429.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1001001011101 its reverse (1011101001001), we get a palindrome (2012102012102).

The spelling of 1001001011101 in words is "one trillion, one billion, one million, eleven thousand, one hundred one".

Divisors: 1 7 13 61 91 427 793 5551 7159 25189 50113 93067 176323 327457 436699 651469 1536529 2292199 3056893 5677087 10755703 19974877 39739609 139824139 180328051 1262296357 2344264663 11000011111 16409852641 77000077777 143000144443 1001001011101