Search a number
-
+
1132023020414 = 21113293074091087
BaseRepresentation
bin10000011110010001110…
…101000111101101111110
311000012221122000202101212
4100132101311013231332
5122021340343123124
62224013314004422
7144533404624046
oct20362165075576
94005848022355
101132023020414
113a70a7535220
12163488276712
1382998317870
143cb0c480726
151e6a6ed840e
hex10791d47b7e

1132023020414 has 128 divisors (see below), whose sum is σ = 2077376716800. Its totient is φ = 455565358080.

The previous prime is 1132023020407. The next prime is 1132023020419. The reversal of 1132023020414 is 4140203202311.

It is a super-2 number, since 2×11320230204142 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1132023020414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132023020419) 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 63 ways as a sum of consecutive naturals, for example, 1041418979 + ... + 1041420065.

It is an arithmetic number, because the mean of its divisors is an integer number (16229505600).

Almost surely, 21132023020414 is an apocalyptic number.

1132023020414 is a deficient number, since it is larger than the sum of its proper divisors (945353696386).

1132023020414 is a wasteful number, since it uses less digits than its factorization.

1132023020414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1132023020414 its reverse (4140203202311), we get a palindrome (5272226222725).

The spelling of 1132023020414 in words is "one trillion, one hundred thirty-two billion, twenty-three million, twenty thousand, four hundred fourteen".

Divisors: 1 2 11 13 22 26 29 58 143 286 307 319 377 409 614 638 754 818 1087 2174 3377 3991 4147 4499 5317 6754 7982 8294 8903 8998 10634 11861 11957 14131 17806 23722 23914 28262 31523 43901 58487 63046 87802 97933 115739 116974 125563 130471 154193 155441 195866 231478 251126 260942 308386 310882 333709 346753 409799 444583 667418 693506 819598 889166 1273129 1381193 1632319 1696123 2546258 2762386 3264638 3392246 3641327 3670799 4338217 4507789 4890413 5779579 7282654 7341598 8676434 9015578 9677561 9780826 11559158 12892907 17955509 19355122 25785814 35911018 40054597 47337251 47720387 63575369 80109194 94674502 95440774 106453171 125808293 127150738 136486981 141821977 167607791 212906342 251616586 272973962 283643954 335215582 520709761 1041419522 1383891223 1501356791 1774330753 1843685701 2767782446 3002713582 3548661506 3687371402 3958122449 7916244898 19517638283 39035276566 43539346939 51455591837 87078693878 102911183674 566011510207 1132023020414