Search a number
-
+
101111001000010 = 25412394649221951
BaseRepresentation
bin10110111111010110111101…
…010011000010100001001010
3111021000010011111201000000021
4112333112331103002201022
5101223100312224000020
6555013430321531054
730204012601626151
oct2677267523024112
9437003144630007
10101111001000010
112a242a31119311
12b40bba57a3a8a
13445595a108a81
141ad7b2736a598
15ba51e0e5b1aa
hex5bf5bd4c284a

101111001000010 has 64 divisors (see below), whose sum is σ = 187260014592000. Its totient is φ = 39284226688000.

The previous prime is 101111001000007. The next prime is 101111001000013. The reversal of 101111001000010 is 10000100111101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101111001000007) and next prime (101111001000013).

It is a junction number, because it is equal to n+sod(n) for n = 101111000999957 and 101111001000002.

It is not an unprimeable number, because it can be changed into a prime (101111001000013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455444535 + ... + 455666485.

It is an arithmetic number, because the mean of its divisors is an integer number (2925937728000).

Almost surely, 2101111001000010 is an apocalyptic number.

101111001000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111001000010 is a deficient number, since it is larger than the sum of its proper divisors (86149013591990).

101111001000010 is a wasteful number, since it uses less digits than its factorization.

101111001000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226887.

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

Adding to 101111001000010 its reverse (10000100111101), we get a palindrome (111111101111111).

The spelling of 101111001000010 in words is "one hundred one trillion, one hundred eleven billion, one million, ten", and thus it is an aban number.

Divisors: 1 2 5 10 41 82 205 239 410 478 1195 2390 4649 9298 9799 19598 23245 46490 48995 97990 190609 221951 381218 443902 953045 1109755 1111111 1906090 2219510 2222222 5555555 9099991 11111110 18199982 45499955 45555551 53046289 90999910 91111102 106092578 227777755 265231445 455555510 530462890 1031850199 2063700398 2174897849 4349795698 5159250995 10318501990 10874489245 21748978490 42305858159 84611716318 211529290795 246612197561 423058581590 493224395122 1233060987805 2466121975610 10111100100001 20222200200002 50555500500005 101111001000010