Search a number
-
+
102332101131333 = 3337787130158241
BaseRepresentation
bin10111010001001000001100…
…100010010111110001000101
3111102022212001002000211201000
4113101020030202113301011
5101403102120342200313
61001350415051323513
730361151601530103
oct2721101442276105
9442285032024630
10102332101131333
112a673889329367
12b588791750599
134513b4cc96a88
141b3ac85d10c73
15bc6d5d272673
hex5d120c897c45

102332101131333 has 32 divisors (see below), whose sum is σ = 155898335937920. Its totient is φ = 66293236062720.

The previous prime is 102332101131331. The next prime is 102332101131371. The reversal of 102332101131333 is 333131101233201.

102332101131333 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 3 + 210 + 113 + 1 + 333 = 666.

It is not a de Polignac number, because 102332101131333 - 21 = 102332101131331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102332101131297 and 102332101131306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102332101131331) 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, 64292908 + ... + 65865333.

It is an arithmetic number, because the mean of its divisors is an integer number (4871822998060).

Almost surely, 2102332101131333 is an apocalyptic number.

It is an amenable number.

102332101131333 is a deficient number, since it is larger than the sum of its proper divisors (53566234806587).

102332101131333 is a wasteful number, since it uses less digits than its factorization.

102332101131333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130159074 (or 130159068 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 102332101131333 its reverse (333131101233201), we get a palindrome (435463202364534).

The spelling of 102332101131333 in words is "one hundred two trillion, three hundred thirty-two billion, one hundred one million, one hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 27 37 111 333 787 999 2361 7083 21249 29119 87357 262071 786213 130158241 390474723 1171424169 3514272507 4815854917 14447564751 43342694253 102434535667 130028082759 307303607001 921910821003 2765732463009 3790077819679 11370233459037 34110700377111 102332101131333