Search a number
-
+
102122002110111 = 34110691061373181
BaseRepresentation
bin10111001110000100100001…
…101010001101011010011111
3111101120202201220122201111120
4113032010201222031122133
5101341131330020010421
61001110111120222023
730340033261363404
oct2716044152153237
9441522656581446
10102122002110111
112a5a2774970035
12b553b17a6a913
1344ca0a95ca2c9
141b30a348922ab
15bc16633d08c6
hex5ce121a8d69f

102122002110111 has 32 divisors (see below), whose sum is σ = 139629253740480. Its totient is φ = 66351521510400.

The previous prime is 102122002110109. The next prime is 102122002110127. The reversal of 102122002110111 is 111011200221201.

It is a happy number.

It is not a de Polignac number, because 102122002110111 - 21 = 102122002110109 is a prime.

It is a super-3 number, since 3×1021220021101113 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122002110101) 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, 1395434941 + ... + 1395508121.

It is an arithmetic number, because the mean of its divisors is an integer number (4363414179390).

Almost surely, 2102122002110111 is an apocalyptic number.

102122002110111 is a deficient number, since it is larger than the sum of its proper divisors (37507251630369).

102122002110111 is a wasteful number, since it uses less digits than its factorization.

102122002110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84907.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102122002110111 its reverse (111011200221201), we get a palindrome (213133202331312).

The spelling of 102122002110111 in words is "one hundred two trillion, one hundred twenty-two billion, two million, one hundred ten thousand, one hundred eleven".

Divisors: 1 3 41 123 1069 3207 10613 31839 43829 73181 131487 219543 435133 1305399 3000421 9001263 11345297 34035891 78230489 234691467 465157177 776669953 1395471531 2330009859 3207450049 9622350147 31843468073 95530404219 830260179757 2490780539271 34040667370037 102122002110111