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101100000110 = 2517246397541
BaseRepresentation
bin101111000101000000…
…1111001001101101110
3100122221211111010201112
41132022001321031232
53124023100000420
6114240015512022
710206231551624
oct1361201711556
9318854433645
10101100000110
11399703504aa
1217716228612
1396c2690495
144c7119d514
15296aac08c5
hex178a07936e

101100000110 has 48 divisors (see below), whose sum is σ = 193381706880. Its totient is φ = 38047925760.

The previous prime is 101100000107. The next prime is 101100000119. The reversal of 101100000110 is 11000001101.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 101100000094 and 101100000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100000119) by changing a digit.

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, 13402940 + ... + 13410480.

It is an arithmetic number, because the mean of its divisors is an integer number (4028785560).

Almost surely, 2101100000110 is an apocalyptic number.

101100000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100000110 is a deficient number, since it is larger than the sum of its proper divisors (92281706770).

101100000110 is a wasteful number, since it uses less digits than its factorization.

101100000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12221 (or 12204 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101100000110 its reverse (11000001101), we get a palindrome (112100001211).

Subtracting from 101100000110 its reverse (11000001101), we obtain a palindrome (90099999009).

The spelling of 101100000110 in words is "one hundred one billion, one hundred million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 17 34 85 170 289 578 1445 2890 4639 7541 9278 15082 23195 37705 46390 75410 78863 128197 157726 256394 394315 640985 788630 1281970 1340671 2179349 2681342 4358698 6703355 10896745 13406710 21793490 34982699 69965398 174913495 349826990 594705883 1189411766 2973529415 5947058830 10110000011 20220000022 50550000055 101100000110