Search a number
-
+
1001101002220 = 2251116327916927
BaseRepresentation
bin11101001000101100100…
…01010000010111101100
310112201000110011010121001
432210112101100113230
5112400223324032340
62043522140450044
7132220134055024
oct16442621202754
93481013133531
101001101002220
11356623465190
1214202a849924
137353240a747
143664c766a84
151b09324929a
hexe9164505ec

1001101002220 has 48 divisors (see below), whose sum is σ = 2307501600768. Its totient is φ = 361803360960.

The previous prime is 1001101002217. The next prime is 1001101002247. The reversal of 1001101002220 is 222001011001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1001101002197 and 1001101002206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13922604 + ... + 13994323.

It is an arithmetic number, because the mean of its divisors is an integer number (48072950016).

Almost surely, 21001101002220 is an apocalyptic number.

1001101002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001101002220 is an abundant number, since it is smaller than the sum of its proper divisors (1306400598548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001101002220 is a wasteful number, since it uses less digits than its factorization.

1001101002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27917110 (or 27917108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001101002220 its reverse (222001011001), we get a palindrome (1223102013221).

The spelling of 1001101002220 in words is "one trillion, one billion, one hundred one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 652 815 1630 1793 3260 3586 7172 8965 17930 35860 27916927 55833854 111667708 139584635 279169270 307086197 558338540 614172394 1228344788 1535430985 3070861970 4550459101 6141723940 9100918202 18201836404 22752295505 45504591010 50055050111 91009182020 100110100222 200220200444 250275250555 500550501110 1001101002220