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1130110101021 = 3112101252112227
BaseRepresentation
bin10000011100011111110…
…011111010011000011101
311000001000022112101022110
4100130133303322120131
5122003431141213041
62223055421304233
7144435116235426
oct20343763723035
94001008471273
101130110101021
113a6305765600
12163033705079
1382751c0c6b5
143c9aa3b264d
151e5e40c7516
hex1071fcfa61d

1130110101021 has 48 divisors (see below), whose sum is σ = 1673448364224. Its totient is φ = 677809440000.

The previous prime is 1130110100993. The next prime is 1130110101031. The reversal of 1130110101021 is 1201010110311.

It is not a de Polignac number, because 1130110101021 - 213 = 1130110092829 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1130110100988 and 1130110101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130110101031) 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 47 ways as a sum of consecutive naturals, for example, 92421310 + ... + 92433536.

It is an arithmetic number, because the mean of its divisors is an integer number (34863507588).

Almost surely, 21130110101021 is an apocalyptic number.

1130110101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1130110101021 is a deficient number, since it is larger than the sum of its proper divisors (543338263203).

1130110101021 is a wasteful number, since it uses less digits than its factorization.

1130110101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14874 (or 14863 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1130110101021 its reverse (1201010110311), we get a palindrome (2331120211332).

The spelling of 1130110101021 in words is "one trillion, one hundred thirty billion, one hundred ten million, one hundred one thousand, twenty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 2521 3333 7563 12221 12227 27731 36663 36681 83193 134497 254621 305041 403491 763863 915123 1234927 1479467 2800831 3704781 4438401 8402493 13584197 30809141 30824267 40752591 92427423 92472801 149426167 339066937 448278501 1017200811 3113250967 3729736307 9339752901 11189208921 34245760637 102737281911 376703367007 1130110101021