Search a number
-
+
1011434033412 = 2233111294165789
BaseRepresentation
bin11101011011111100010…
…10101001000100000100
310120200200120120111122000
432231332022221010010
5113032404103032122
62052351341305300
7133034164301265
oct16557612510404
93520616514560
101011434033412
1135aa46164490
12144033265230
13744bb0bc59a
1436d4cc1a96c
151b49a48d0ac
hexeb7e2a9104

1011434033412 has 96 divisors (see below), whose sum is σ = 2860886044800. Its totient is φ = 306466819200.

The previous prime is 1011434033359. The next prime is 1011434033417. The reversal of 1011434033412 is 2143304341101.

1011434033412 is a `hidden beast` number, since 101 + 143 + 4 + 0 + 3 + 3 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1011434033417) 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 31 ways as a sum of consecutive naturals, for example, 15341014 + ... + 15406802.

It is an arithmetic number, because the mean of its divisors is an integer number (29800896300).

Almost surely, 21011434033412 is an apocalyptic number.

1011434033412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011434033412 is an abundant number, since it is smaller than the sum of its proper divisors (1849452011388).

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

1011434033412 is a wasteful number, since it uses less digits than its factorization.

1011434033412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78754 (or 78746 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1011434033412 its reverse (2143304341101), we get a palindrome (3154738374513).

The spelling of 1011434033412 in words is "one trillion, eleven billion, four hundred thirty-four million, thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 12941 25882 38823 51764 65789 77646 116469 131578 142351 155292 197367 232938 263156 284702 349407 394734 427053 465876 569404 592101 698814 723679 789468 854106 1184202 1281159 1397628 1447358 1708212 1776303 2171037 2368404 2562318 2894716 3552606 3843477 4342074 5124636 6513111 7105212 7686954 8684148 13026222 15373908 19539333 26052444 39078666 78157332 851375449 1702750898 2554126347 3405501796 5108252694 7662379041 9365129939 10216505388 15324758082 18730259878 22987137123 28095389817 30649516164 37460519756 45974274246 56190779634 84286169451 91948548492 112381559268 168572338902 252858508353 337144677804 505717016706 1011434033412