Search a number
-
+
102145401401321 = 12730724231081243
BaseRepresentation
bin10111001110011010010100…
…010111011010111111101001
3111101200000010122112212122202
4113032122110113122333221
5101342022240224320241
61001124541040225545
730341522161153325
oct2716322427327751
9441600118485582
10102145401401321
112a601692190933
12b55856830b2b5
1344cc368310255
141b31c143dc985
15bc20827b3d9b
hex5ce6945dafe9

102145401401321 has 16 divisors (see below), whose sum is σ = 103327759417344. Its totient is φ = 100969223788944.

The previous prime is 102145401401311. The next prime is 102145401401371. The reversal of 102145401401321 is 123104104541201.

It is a cyclic number.

It is not a de Polignac number, because 102145401401321 - 226 = 102145334292457 is a prime.

It is a super-2 number, since 2×1021454014013212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102145401401311) 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, 93929726 + ... + 95010968.

It is an arithmetic number, because the mean of its divisors is an integer number (6457984963584).

Almost surely, 2102145401401321 is an apocalyptic number.

It is an amenable number.

102145401401321 is a deficient number, since it is larger than the sum of its proper divisors (1182358016023).

102145401401321 is a wasteful number, since it uses less digits than its factorization.

102145401401321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084100.

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 102145401401321 its reverse (123104104541201), we get a palindrome (225249505942522).

The spelling of 102145401401321 in words is "one hundred two trillion, one hundred forty-five billion, four hundred one million, four hundred one thousand, three hundred twenty-one".

Divisors: 1 127 307 2423 38989 307721 743861 1081243 94470347 137317861 331941601 2619851789 42156583327 332721177203 804294499223 102145401401321