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1132121034 = 2321179157461
BaseRepresentation
bin100001101111010…
…1100101111001010
32220220021201002200
41003132230233022
54304310333114
6304201141030
740024604262
oct10336545712
92826251080
101132121034
11531064320
1227718a776
13150719205
14aa5007a2
15695cd409
hex437acbca

1132121034 has 96 divisors (see below), whose sum is σ = 2732970240. Its totient is φ = 335836800.

The previous prime is 1132121033. The next prime is 1132121059. The reversal of 1132121034 is 4301212311.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1132120998 and 1132121016.

It is not an unprimeable number, because it can be changed into a prime (1132121033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2455564 + ... + 2456024.

It is an arithmetic number, because the mean of its divisors is an integer number (28468440).

Almost surely, 21132121034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132121034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366485120).

1132121034 is an abundant number, since it is smaller than the sum of its proper divisors (1600849206).

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

1132121034 is a wasteful number, since it uses less digits than its factorization.

1132121034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1132121034 is about 33647.0063155699. The cubic root of 1132121034 is about 1042.2317195205.

Adding to 1132121034 its reverse (4301212311), we get a palindrome (5433333345).

The spelling of 1132121034 in words is "one billion, one hundred thirty-two million, one hundred twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 157 158 198 237 314 461 471 474 711 869 922 942 1383 1413 1422 1727 1738 2607 2766 2826 3454 4149 5071 5181 5214 7821 8298 10142 10362 12403 15213 15543 15642 24806 30426 31086 36419 37209 45639 72377 72838 74418 91278 109257 111627 136433 144754 217131 218514 223254 272866 327771 400609 409299 434262 651393 655542 796147 801218 818598 1201827 1227897 1302786 1592294 2388441 2403654 2455794 3605481 4776882 5717783 7165323 7210962 11435566 14330646 17153349 34306698 51460047 62895613 102920094 125791226 188686839 377373678 566060517 1132121034