Search a number
-
+
10100022101 = 1310319133943
BaseRepresentation
bin10010110100000001…
…00001101101010101
3222001212222021122122
421122000201231111
5131141101201401
64350114305325
7505200525401
oct113200415525
928055867578
1010100022101
114313221104
121b5a588245
13c4c63b050
146bb55c101
153e1a6921b
hex25a021b55

10100022101 has 16 divisors (see below), whose sum is σ = 10991076096. Its totient is φ = 9225415296.

The previous prime is 10100022061. The next prime is 10100022103. The reversal of 10100022101 is 10122000101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10100022101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100022103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2559536 + ... + 2563478.

It is an arithmetic number, because the mean of its divisors is an integer number (686942256).

Almost surely, 210100022101 is an apocalyptic number.

It is an amenable number.

10100022101 is a deficient number, since it is larger than the sum of its proper divisors (891053995).

10100022101 is a wasteful number, since it uses less digits than its factorization.

10100022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972.

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

Adding to 10100022101 its reverse (10122000101), we get a palindrome (20222022202).

The spelling of 10100022101 in words is "ten billion, one hundred million, twenty-two thousand, one hundred one".

Divisors: 1 13 103 1339 1913 3943 24869 51259 197039 406129 2561507 5279677 7542959 98058467 776924777 10100022101