Search a number
-
+
11420202134232 = 2333372003713407
BaseRepresentation
bin1010011000101111100100…
…0101110110101011011000
31111102202112112002210121000
42212023321011312223120
52444102033221243412
640142211325345000
72256040153325013
oct246137105665330
944382475083530
1011420202134232
11370330a420811
12134538a708160
1364abc7290878
142b6a527da37a
1514c0eb94a4dc
hexa62f9176ad8

11420202134232 has 128 divisors (see below), whose sum is σ = 32596467609600. Its totient is φ = 3701995000704.

The previous prime is 11420202134221. The next prime is 11420202134239. The reversal of 11420202134232 is 23243120202411.

11420202134232 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 0 + 20 + 213 + 423 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11420202134196 and 11420202134205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11420202134239) 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 31 ways as a sum of consecutive naturals, for example, 15651273 + ... + 16364679.

It is an arithmetic number, because the mean of its divisors is an integer number (254659903200).

Almost surely, 211420202134232 is an apocalyptic number.

11420202134232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11420202134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16298233804800).

11420202134232 is an abundant number, since it is smaller than the sum of its proper divisors (21176265475368).

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

11420202134232 is a wasteful number, since it uses less digits than its factorization.

11420202134232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715462 (or 715452 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11420202134232 its reverse (23243120202411), we get a palindrome (34663322336643).

The spelling of 11420202134232 in words is "eleven trillion, four hundred twenty billion, two hundred two million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2003 2664 3996 4006 6009 7992 8012 12018 16024 18027 24036 36054 48072 54081 72108 74111 108162 144216 148222 216324 222333 296444 432648 444666 592888 666999 713407 889332 1333998 1426814 1778664 2000997 2140221 2667996 2853628 4001994 4280442 5335992 5707256 6420663 8003988 8560884 12841326 16007976 17121768 19261989 25682652 26396059 38523978 51365304 52792118 77047956 79188177 105584236 154095912 158376354 211168472 237564531 316752708 475129062 633505416 712693593 950258124 1425387186 1428954221 1900516248 2850774372 2857908442 4286862663 5701548744 5715816884 8573725326 11431633768 12860587989 17147450652 25721175978 34294901304 38581763967 51442351956 52871306177 77163527934 102884703912 105742612354 154327055868 158613918531 211485224708 308654111736 317227837062 422970449416 475841755593 634455674124 951683511186 1268911348248 1427525266779 1903367022372 2855050533558 3806734044744 5710101067116 11420202134232