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1001101100110 = 252915123099901
BaseRepresentation
bin11101001000101100100…
…01101000010001001110
310112201000110100002212121
432210112101220101032
5112400223340200420
62043522142523154
7132220134643306
oct16442621502116
93481013302777
101001101100110
11356623521791
1214202a8964ba
1373532443177
143664c790606
151b0932682aa
hexe91646844e

1001101100110 has 64 divisors (see below), whose sum is σ = 1877466729600. Its totient is φ = 383866560000.

The previous prime is 1001101100107. The next prime is 1001101100117. The reversal of 1001101100110 is 110011011001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001101100093 and 1001101100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101106160 + ... + 101116060.

It is an arithmetic number, because the mean of its divisors is an integer number (29335417650).

Almost surely, 21001101100110 is an apocalyptic number.

1001101100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001101100110 is a deficient number, since it is larger than the sum of its proper divisors (876365629490).

1001101100110 is a wasteful number, since it uses less digits than its factorization.

1001101100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12397.

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

Adding to 1001101100110 its reverse (110011011001), we get a palindrome (1111112111111).

The spelling of 1001101100110 in words is "one trillion, one billion, one hundred one million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 10 29 58 145 151 290 302 755 1510 2309 4379 4618 8758 9901 11545 19802 21895 23090 43790 49505 66961 99010 133922 287129 334805 348659 574258 669610 697318 1435645 1495051 1743295 2871290 2990102 3486590 7475255 10111111 14950510 20222222 22861409 43356479 45722818 50555555 86712958 101111110 114307045 216782395 228614090 433564790 662980861 1325961722 3314904305 3452072759 6629808610 6904145518 17260363795 34520727590 100110110011 200220220022 500550550055 1001101100110