Search a number
-
+
1100010100005 = 3558389122561
BaseRepresentation
bin10000000000011101101…
…101100001010100100101
310220011022121001220100000
4100000131231201110211
5121010310041200010
62201200534011513
7142321163401425
oct20003555412445
93804277056300
101100010100005
1139456a02a303
121592331a6b99
137c965c034cb
143b352976485
151d9317e87c0
hex1001db61525

1100010100005 has 96 divisors (see below), whose sum is σ = 2023626084480. Its totient is φ = 573086638080.

The previous prime is 1100010100003. The next prime is 1100010100043. The reversal of 1100010100005 is 5000010100011.

It is not a de Polignac number, because 1100010100005 - 21 = 1100010100003 is a prime.

It is a super-2 number, since 2×11000101000052 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 1100010100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100010100003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8913925 + ... + 9036485.

It is an arithmetic number, because the mean of its divisors is an integer number (21079438380).

Almost surely, 21100010100005 is an apocalyptic number.

1100010100005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1100010100005 is a deficient number, since it is larger than the sum of its proper divisors (923615984475).

1100010100005 is an equidigital number, since it uses as much as digits as its factorization.

1100010100005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122753 (or 122741 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 1100010100005 its reverse (5000010100011), we get a palindrome (6100020200016).

The spelling of 1100010100005 in words is "one trillion, one hundred billion, ten million, one hundred thousand, five".

Divisors: 1 3 5 9 15 27 45 81 83 89 135 243 249 267 405 415 445 747 801 1215 1245 1335 2241 2403 3735 4005 6723 7209 7387 11205 12015 20169 21627 22161 33615 36045 36935 66483 100845 108135 110805 122561 199449 332415 367683 598347 612805 997245 1103049 1795041 1838415 2991735 3309147 5515245 8975205 9927441 10172563 10907929 16545735 29782323 30517689 32723787 49637205 50862815 54539645 91553067 98171361 148911615 152588445 163618935 274659201 294514083 457765335 490856805 823977603 883542249 905358107 1373296005 1472570415 2471932809 2650626747 2716074321 4119888015 4417711245 4526790535 8148222963 12359664045 13253133735 13580371605 24444668889 40741114815 73334006667 122223344445 220002020001 366670033335 1100010100005