Search a number
-
+
1124421002133 = 3111343597114551
BaseRepresentation
bin10000010111001100101…
…101101110001110010101
310222111022211111012210020
4100113030231232032111
5121410303234032013
62220315112215353
7144144125551332
oct20271455561625
93874284435706
101124421002133
113a3956384390
12161b0639a559
138205638a4b0
143c5ca9b3989
151e3ae903623
hex105ccb6e395

1124421002133 has 128 divisors (see below), whose sum is σ = 1858781675520. Its totient is φ = 595455840000.

The previous prime is 1124421002129. The next prime is 1124421002137. The reversal of 1124421002133 is 3312001244211.

It is an interprime number because it is at equal distance from previous prime (1124421002129) and next prime (1124421002137).

It is not a de Polignac number, because 1124421002133 - 22 = 1124421002129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124421002137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77267208 + ... + 77281758.

It is an arithmetic number, because the mean of its divisors is an integer number (14521731840).

Almost surely, 21124421002133 is an apocalyptic number.

1124421002133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1124421002133 is a deficient number, since it is larger than the sum of its proper divisors (734360673387).

1124421002133 is a wasteful number, since it uses less digits than its factorization.

1124421002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14751.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1124421002133 its reverse (3312001244211), we get a palindrome (4436422246344).

The spelling of 1124421002133 in words is "one trillion, one hundred twenty-four billion, four hundred twenty-one million, two thousand, one hundred thirty-three".

Divisors: 1 3 11 13 33 39 43 59 71 129 143 177 213 429 473 559 649 767 781 923 1419 1677 1947 2301 2343 2537 2769 3053 4189 6149 7611 8437 9159 10153 12567 14551 18447 25311 27907 30459 32981 33583 39689 43653 46079 54457 83721 98943 100749 119067 138237 160061 163371 180127 189163 362791 436579 480183 540381 567489 599027 625693 858509 1033121 1088373 1309737 1797081 1877079 1981397 2080793 2341651 2575527 3099363 5944191 6242379 6882623 7024953 8134009 9443599 11160617 11364331 13430573 20647869 24402027 25758161 28330797 33481851 34092993 36915887 40291719 44424203 60954139 77274483 89474099 110747661 122766787 133272609 147736303 182862417 268422297 368300361 406074757 443208909 479906531 488666233 577514639 670495529 792403807 1218224271 1439719593 1465998699 1732543917 2011486587 2377211421 2621027977 5278971841 6352661029 7863083931 8716441877 15836915523 19057983087 26149325631 28831307747 34073363701 86493923241 102220091103 374807000711 1124421002133