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1001111101130 = 257411832919031
BaseRepresentation
bin11101001000101101101…
…11110001111011001010
310112201001011011012200202
432210112313301323022
5112400233420214010
62043523141132202
7132220315645640
oct16442667617312
93481034135622
101001111101130
11356629132698
121420320ba062
137353453532a
143664dc35190
151b0940916a5
hexe916df1eca

1001111101130 has 64 divisors (see below), whose sum is σ = 2109884474880. Its totient is φ = 334830566400.

The previous prime is 1001111101129. The next prime is 1001111101139. The reversal of 1001111101130 is 311011111001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001111101139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52594715 + ... + 52613745.

It is an arithmetic number, because the mean of its divisors is an integer number (32966944920).

Almost surely, 21001111101130 is an apocalyptic number.

1001111101130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001111101130 is an abundant number, since it is smaller than the sum of its proper divisors (1108773373750).

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

1001111101130 is a wasteful number, since it uses less digits than its factorization.

1001111101130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37415.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 1001111101130 its reverse (311011111001), we get a palindrome (1312122212131).

The spelling of 1001111101130 in words is "one trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 70 82 205 287 410 574 1435 2870 18329 19031 36658 38062 91645 95155 128303 133217 183290 190310 256606 266434 641515 666085 751489 780271 1283030 1332170 1502978 1560542 3757445 3901355 5260423 5461897 7514890 7802710 10520846 10923794 26302115 27309485 52604230 54618970 348819199 697638398 1744095995 2441734393 3488191990 4883468786 12208671965 14301587159 24417343930 28603174318 71507935795 100111110113 143015871590 200222220226 500555550565 1001111101130