Search a number
-
+
102002212111221 = 3341456720175809
BaseRepresentation
bin10111001100010100111101…
…100111101000001101110101
3111101011022112112122021101000
4113030110331213220031311
5101332201012300024341
61000535100324553513
730325262622241212
oct2714247547501565
9441138475567330
10102002212111221
112a5569935a9954
12b534866552899
1344bb9c8a8c466
141b28d0d3b2b09
15bbd4a1aac8b6
hex5cc53d9e8375

102002212111221 has 32 divisors (see below), whose sum is σ = 154834008134400. Its totient is φ = 66328372316160.

The previous prime is 102002212111187. The next prime is 102002212111243. The reversal of 102002212111221 is 122111212200201.

102002212111221 is a `hidden beast` number, since 1 + 0 + 200 + 221 + 21 + 1 + 1 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-102002212111221 is a prime.

It is a super-2 number, since 2×1020022121112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102002212111194 and 102002212111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002212111271) 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, 5032236 + ... + 15143573.

It is an arithmetic number, because the mean of its divisors is an integer number (4838562754200).

Almost surely, 2102002212111221 is an apocalyptic number.

It is an amenable number.

102002212111221 is a deficient number, since it is larger than the sum of its proper divisors (52831796023179).

102002212111221 is a wasteful number, since it uses less digits than its factorization.

102002212111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20180426 (or 20180420 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102002212111221 its reverse (122111212200201), we get a palindrome (224113424311422).

The spelling of 102002212111221 in words is "one hundred two trillion, two billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 27 41 123 369 1107 4567 13701 41103 123309 187247 561741 1685223 5055669 20175809 60527427 181582281 544746843 827208169 2481624507 7444873521 22334620563 92142919703 276428759109 829286277327 2487858831981 3777859707823 11333579123469 34000737370407 102002212111221