Search a number
-
+
102144505221 = 33111249275357
BaseRepresentation
bin101111100100001001…
…0010111010110000101
3100202122121220111101000
41133020102113112011
53133142443131341
6114531411123513
710244143653213
oct1371022272605
9322577814330
10102144505221
113a356a01670
1217967ba3599
13982abb0945
144d2dbb3cb3
1529cc6438b6
hex17c8497585

102144505221 has 32 divisors (see below), whose sum is σ = 165214800000. Its totient is φ = 61855971840.

The previous prime is 102144505207. The next prime is 102144505231. The reversal of 102144505221 is 122505441201.

It is a happy number.

102144505221 is a `hidden beast` number, since 10 + 2 + 144 + 505 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 102144505221 - 213 = 102144497029 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102144505201) 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, 233275 + ... + 508631.

It is an arithmetic number, because the mean of its divisors is an integer number (5162962500).

Almost surely, 2102144505221 is an apocalyptic number.

102144505221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102144505221 is a deficient number, since it is larger than the sum of its proper divisors (63070294779).

102144505221 is a wasteful number, since it uses less digits than its factorization.

102144505221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276626 (or 276620 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 102144505221 its reverse (122505441201), we get a palindrome (224649946422).

The spelling of 102144505221 in words is "one hundred two billion, one hundred forty-four million, five hundred five thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 1249 3747 11241 13739 33723 41217 123651 275357 370953 826071 2478213 3028927 7434639 9086781 27260343 81781029 343920893 1031762679 3095288037 3783129823 9285864111 11349389469 34048168407 102144505221