Search a number
-
+
100020021101 = 71113176539001
BaseRepresentation
bin101110100100110101…
…0000110011101101101
3100120011120022112000222
41131021222012131231
53114320111133401
6113540520101125
710140406103030
oct1351152063555
9316146275028
10100020021101
1139466770270
12174746047a5
13957c9cc650
144bab993017
152905d91c1b
hex1749a8676d

100020021101 has 64 divisors (see below), whose sum is σ = 142425755136. Its totient is φ = 67599360000.

The previous prime is 100020021089. The next prime is 100020021109. The reversal of 100020021101 is 101120020001.

It is a cyclic number.

It is not a de Polignac number, because 100020021101 - 26 = 100020021037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020021109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11107601 + ... + 11116601.

It is an arithmetic number, because the mean of its divisors is an integer number (2225402424).

Almost surely, 2100020021101 is an apocalyptic number.

100020021101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100020021101 is a deficient number, since it is larger than the sum of its proper divisors (42405734035).

100020021101 is a wasteful number, since it uses less digits than its factorization.

100020021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9702.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100020021101 its reverse (101120020001), we get a palindrome (201140041102).

The spelling of 100020021101 in words is "one hundred billion, twenty million, twenty-one thousand, one hundred one".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 653 1001 1309 1547 2431 4571 7183 8489 9001 11101 17017 50281 59423 63007 77707 93379 99011 117013 122111 144313 153017 653653 693077 819091 854777 1010191 1071119 1287143 1587443 1683187 1989221 5877653 9010001 11112101 11782309 13924547 21881431 41143571 64654183 76409489 99920101 153170017 452579281 534866423 699440707 840504379 1099121111 1298961313 5883530653 7693847777 9092729191 14288574443 100020021101