Search a number
-
+
1130231411433 = 32477942717919
BaseRepresentation
bin10000011100100111000…
…010101011001011101001
311000001022202210120220200
4100130213002223023221
5122004203220131213
62223115433342413
7144441121325205
oct20344702531351
94001282716820
101130231411433
113a6368191943
12163068267a09
13827710a4bc7
143c9bc54db05
151e5eea8b273
hex107270ab2e9

1130231411433 has 48 divisors (see below), whose sum is σ = 1689005260800. Its totient is φ = 727858666080.

The previous prime is 1130231411417. The next prime is 1130231411461. The reversal of 1130231411433 is 3341141320311.

1130231411433 is a `hidden beast` number, since 1 + 1 + 302 + 314 + 1 + 1 + 43 + 3 = 666.

It is not a de Polignac number, because 1130231411433 - 24 = 1130231411417 is a prime.

It is a super-3 number, since 3×11302314114333 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1130231411397 and 1130231411406.

It is not an unprimeable number, because it can be changed into a prime (1130231411233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142720048 + ... + 142727966.

It is an arithmetic number, because the mean of its divisors is an integer number (35187609600).

Almost surely, 21130231411433 is an apocalyptic number.

It is an amenable number.

1130231411433 is a deficient number, since it is larger than the sum of its proper divisors (558773849367).

1130231411433 is a wasteful number, since it uses less digits than its factorization.

1130231411433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322 (or 12319 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1130231411433 its reverse (3341141320311), we get a palindrome (4471372731744).

The spelling of 1130231411433 in words is "one trillion, one hundred thirty billion, two hundred thirty-one million, four hundred eleven thousand, four hundred thirty-three".

Divisors: 1 3 9 47 79 141 237 423 711 3713 4271 7919 11139 12813 23757 33417 38439 71271 200737 337409 372193 602211 625601 1012227 1116579 1806633 1876803 3036681 3349737 5630409 15858223 29403247 33822049 47574669 88209741 101466147 142724007 264629223 304398441 1589636303 2671941871 4768908909 8015825613 14306726727 24047476839 125581267937 376743803811 1130231411433