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1001001011100 = 2235210133036337
BaseRepresentation
bin11101001000100000100…
…11110100011110011100
310112200202111000001120020
432210100103310132130
5112400022224323400
62043504205352140
7132214511130516
oct16442023643634
93480674001506
101001001011100
11356581a7a3a2
12142001268650
137351779acbc
143663d378bb6
151b0895972a0
hexe9104f479c

1001001011100 has 72 divisors (see below), whose sum is σ = 2924905221168. Its totient is φ = 264290688000.

The previous prime is 1001001011057. The next prime is 1001001011113. The reversal of 1001001011100 is 11101001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16487869 + ... + 16548468.

Almost surely, 21001001011100 is an apocalyptic number.

1001001011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001001011100 is an abundant number, since it is smaller than the sum of its proper divisors (1923904210068).

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

1001001011100 is a wasteful number, since it uses less digits than its factorization.

1001001011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33036455 (or 33036448 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001001011100 its reverse (11101001001), we get a palindrome (1012102012101).

The spelling of 1001001011100 in words is "one trillion, one billion, one million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 33036337 66072674 99109011 132145348 165181685 198218022 330363370 396436044 495545055 660726740 825908425 991090110 1651816850 1982180220 2477725275 3303633700 3336670037 4955450550 6673340074 9910901100 10010010111 13346680148 16683350185 20020020222 33366700370 40040040444 50050050555 66733400740 83416750925 100100101110 166833501850 200200202220 250250252775 333667003700 500500505550 1001001011100