Search a number
-
+
1132103130030 = 232591081138107
BaseRepresentation
bin10000011110010110100…
…110101101101110101110
311000020011012202202010200
4100132112212231232232
5122022021400130110
62224025255014330
7144535366554555
oct20362646555656
94006135682120
101132103130030
113a7138780814
121634ab06a3a6
13829abab5ac2
143cb18d74d9c
151e6ae05e6c0
hex107969adbae

1132103130030 has 48 divisors (see below), whose sum is σ = 2943521768304. Its totient is φ = 301888667520.

The previous prime is 1132103130029. The next prime is 1132103130047. The reversal of 1132103130030 is 300313012311.

It is a happy number.

1132103130030 is a `hidden beast` number, since 1 + 1 + 321 + 0 + 313 + 0 + 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 = 1132103129985 and 1132103130012.

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, 8128237 + ... + 8266343.

It is an arithmetic number, because the mean of its divisors is an integer number (61323370173).

Almost surely, 21132103130030 is an apocalyptic number.

1132103130030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1132103130030 is an abundant number, since it is smaller than the sum of its proper divisors (1811418638274).

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

1132103130030 is a wasteful number, since it uses less digits than its factorization.

1132103130030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229201 (or 229198 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1132103130030 its reverse (300313012311), we get a palindrome (1432416142341).

The spelling of 1132103130030 in words is "one trillion, one hundred thirty-two billion, one hundred three million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 91081 138107 182162 273243 276214 414321 455405 546486 690535 819729 828642 910810 1242963 1366215 1381070 1639458 2071605 2485926 2732430 4098645 4143210 6214815 8197290 12429630 12578923667 25157847334 37736771001 62894618335 75473542002 113210313003 125789236670 188683855005 226420626006 377367710010 566051565015 1132103130030