Search a number
-
+
1122300312030 = 2325110871124741
BaseRepresentation
bin10000010101001110010…
…011111011100111011110
310222021212001000222212100
4100111032103323213132
5121341432334441110
62215324434345530
7144040435152342
oct20251623734736
93867761028770
101122300312030
113a2a682a4537
1216161412b2a6
1381aa8c07091
143c46909d622
151e2d8650bc0
hex1054e4fb9de

1122300312030 has 48 divisors (see below), whose sum is σ = 2918246595264. Its totient is φ = 299252823360.

The previous prime is 1122300312017. The next prime is 1122300312047. The reversal of 1122300312030 is 302130032211.

1122300312030 is a `hidden beast` number, since 1 + 1 + 22 + 300 + 312 + 0 + 30 = 666.

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 = 1122300311994 and 1122300312012.

It is a congruent number.

It is an unprimeable number.

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, 435460 + ... + 1560200.

It is an arithmetic number, because the mean of its divisors is an integer number (60796804068).

Almost surely, 21122300312030 is an apocalyptic number.

1122300312030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1122300312030 is an abundant number, since it is smaller than the sum of its proper divisors (1795946283234).

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

1122300312030 is a wasteful number, since it uses less digits than its factorization.

1122300312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135841 (or 1135838 counting only the distinct ones).

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

Adding to 1122300312030 its reverse (302130032211), we get a palindrome (1424430344241).

The spelling of 1122300312030 in words is "one trillion, one hundred twenty-two billion, three hundred million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11087 22174 33261 55435 66522 99783 110870 166305 199566 332610 498915 997830 1124741 2249482 3374223 5623705 6748446 10122669 11247410 16871115 20245338 33742230 50613345 101226690 12470003467 24940006934 37410010401 62350017335 74820020802 112230031203 124700034670 187050052005 224460062406 374100104010 561150156015 1122300312030