Search a number
-
+
121000130030322 = 232171093627754693
BaseRepresentation
bin11011100000110010001001…
…110001001010101011110010
3120212102111111002212200111100
4123200302021301022223302
5111324431231241432242
61105202405314225230
734325654010161304
oct3340621161125362
9525374432780440
10121000130030322
1135610959a31884
12116a2776885216
135269356621a1a
1421c461a883974
15dec75750454c
hex6e0c89c4aaf2

121000130030322 has 48 divisors (see below), whose sum is σ = 280135217470680. Its totient is φ = 37612560646656.

The previous prime is 121000130030279. The next prime is 121000130030333. The reversal of 121000130030322 is 223030031000121.

121000130030322 is a `hidden beast` number, since 1 + 2 + 10 + 0 + 0 + 1 + 300 + 30 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116529024009321 + 4471106021001 = 10794861^2 + 2114499^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121000130030295 and 121000130030304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1813843993 + ... + 1813910700.

Almost surely, 2121000130030322 is an apocalyptic number.

121000130030322 is an abundant number, since it is smaller than the sum of its proper divisors (159135087440358).

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

121000130030322 is a wasteful number, since it uses less digits than its factorization.

121000130030322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627754827 (or 3627754824 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121000130030322 its reverse (223030031000121), we get a palindrome (344030161030443).

The spelling of 121000130030322 in words is "one hundred twenty-one trillion, one hundred thirty million, thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 981 1853 1962 3706 5559 11118 16677 33354 3627754693 7255509386 10883264079 21766528158 32649792237 61671829781 65299584474 123343659562 185015489343 370030978686 395425261537 555046468029 790850523074 1110092936058 1186275784611 2372551569222 3558827353833 6722229446129 7117654707666 13444458892258 20166688338387 40333376676774 60500065015161 121000130030322