Search a number
-
+
102132200132123 = 7163347907284407
BaseRepresentation
bin10111001110001110000001…
…100000100100111000011011
3111101121202001122000220202112
4113032032001200210320123
5101341313221213211443
61001114515055222535
730340544062214120
oct2716160140447033
9441552048026675
10102132200132123
112a5a70284369a7
12b555aa3217a4b
1344cb04332b665
141b31321040747
15bc1a5d856b18
hex5ce381824e1b

102132200132123 has 32 divisors (see below), whose sum is σ = 117907311243264. Its totient is φ = 86658130508832.

The previous prime is 102132200132117. The next prime is 102132200132189. The reversal of 102132200132123 is 321231002231201.

It is a cyclic number.

It is not a de Polignac number, because 102132200132123 - 28 = 102132200131867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102132200132423) 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, 358963586 + ... + 359247992.

It is an arithmetic number, because the mean of its divisors is an integer number (3684603476352).

Almost surely, 2102132200132123 is an apocalyptic number.

102132200132123 is a deficient number, since it is larger than the sum of its proper divisors (15775111111141).

102132200132123 is a wasteful number, since it uses less digits than its factorization.

102132200132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285831.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 102132200132123 its reverse (321231002231201), we get a palindrome (423363202363324).

The spelling of 102132200132123 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 7 163 347 907 1141 2429 6349 56561 147841 284407 314729 395927 1034887 1990849 2203103 46358341 51300827 98689229 257957149 324508387 359105789 690824603 1805700043 16086344327 42047015287 89511130703 112604410289 294329107009 626577914921 14590314304589 102132200132123