Search a number
-
+
1100011001110 = 257239464914143
BaseRepresentation
bin10000000000011101110…
…000111101010100010110
310220011022122202200102021
4100000131300331110112
5121010310304013420
62201201005203354
7142321204143520
oct20003560752426
93804278680367
101100011001110
1139456a59531a
1215923356055a
137c96615a6c8
143b352b2ca10
151d9319257aa
hex1001dc3d516

1100011001110 has 64 divisors (see below), whose sum is σ = 2272997376000. Its totient is φ = 375461275392.

The previous prime is 1100011001101. The next prime is 1100011001113. The reversal of 1100011001110 is 111001100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1100011001093 and 1100011001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100011001113) 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, 77770699 + ... + 77784841.

It is an arithmetic number, because the mean of its divisors is an integer number (35515584000).

Almost surely, 21100011001110 is an apocalyptic number.

1100011001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100011001110 is an abundant number, since it is smaller than the sum of its proper divisors (1172986374890).

1100011001110 is a wasteful number, since it uses less digits than its factorization.

1100011001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19045.

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

Adding to 1100011001110 its reverse (111001100011), we get a palindrome (1211012101121).

It can be divided in two parts, 110001 and 1001110, that added together give a palindrome (1111111).

The spelling of 1100011001110 in words is "one trillion, one hundred billion, eleven million, one thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 70 239 478 1195 1673 2390 3346 4649 8365 9298 14143 16730 23245 28286 32543 46490 65086 70715 99001 141430 162715 198002 325430 495005 990010 1111111 2222222 3380177 5555555 6760354 7777777 11111110 15555554 16900885 23661239 33801770 38888885 47322478 65750807 77777770 118306195 131501614 236612390 328754035 460255649 657508070 920511298 2301278245 4602556490 15714442873 31428885746 78572214365 110001100111 157144428730 220002200222 550005500555 1100011001110