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102124332321 = 31119479340037
BaseRepresentation
bin101111100011100010…
…1011010010100100001
3100202121012221121100120
41133013011122110201
53133122312113241
6114525410510453
710243510334124
oct1370705322441
9322535847316
10102124332321
113a346583450
1217961295429
13982696990b
144d2b2423bb
1529ca9ab666
hex17c715a521

102124332321 has 32 divisors (see below), whose sum is σ = 156689510400. Its totient is φ = 58513394880.

The previous prime is 102124332319. The next prime is 102124332337. The reversal of 102124332321 is 123233421201.

It is not a de Polignac number, because 102124332321 - 21 = 102124332319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102124332291 and 102124332300.

It is not an unprimeable number, because it can be changed into a prime (102124332311) 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, 130315 + ... + 470351.

It is an arithmetic number, because the mean of its divisors is an integer number (4896547200).

Almost surely, 2102124332321 is an apocalyptic number.

102124332321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102124332321 is a deficient number, since it is larger than the sum of its proper divisors (54565178079).

102124332321 is a wasteful number, since it uses less digits than its factorization.

102124332321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340549.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102124332321 its reverse (123233421201), we get a palindrome (225357753522).

It can be divided in two parts, 1021 and 24332321, that added together give a palindrome (24333342).

The spelling of 102124332321 in words is "one hundred two billion, one hundred twenty-four million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 11 19 33 57 209 479 627 1437 5269 9101 15807 27303 100111 300333 340037 1020111 3740407 6460703 11221221 19382109 71067733 162877723 213203199 488633169 1791654953 3094676737 5374964859 9284030211 34041444107 102124332321