Search a number
-
+
355202123222142 = 232713121519576107
BaseRepresentation
bin101000011000011011111000…
…0011000001100110001111110
31201120122222202200201112010200
41100300313300120030301332
5333024112422021102032
63255241334104144330
7134550335512053360
oct12060676030146176
91646588680645120
10355202123222142
11a31a6413505509
1233a086744680a6
1312327555069c81
14639dc3587ad30
152b0e95076747c
hex1430df060cc7e

355202123222142 has 48 divisors (see below), whose sum is σ = 886262222431872. Its totient is φ = 100711616176080.

The previous prime is 355202123222119. The next prime is 355202123222147. The reversal of 355202123222142 is 241222321202553.

355202123222142 is a `hidden beast` number, since 3 + 5 + 5 + 202 + 1 + 232 + 2 + 214 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 355202123222097 and 355202123222106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355202123222147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10759771548 + ... + 10759804559.

It is an arithmetic number, because the mean of its divisors is an integer number (18463796300664).

Almost surely, 2355202123222142 is an apocalyptic number.

355202123222142 is an abundant number, since it is smaller than the sum of its proper divisors (531060099209730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

355202123222142 is a wasteful number, since it uses less digits than its factorization.

355202123222142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21519576253 (or 21519576250 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 355202123222142 its reverse (241222321202553), we get a palindrome (596424444424695).

The spelling of 355202123222142 in words is "three hundred fifty-five trillion, two hundred two billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2358 2751 5502 8253 16506 21519576107 43039152214 64558728321 129117456642 150637032749 193676184963 301274065498 387352369926 451911098247 903822196494 1355733294741 2711466589482 2819064470017 5638128940034 8457193410051 16914386820102 19733451290119 25371580230153 39466902580238 50743160460306 59200353870357 118400707740714 177601061611071 355202123222142