Search a number
-
+
2113032442240 = 27541103781817
BaseRepresentation
bin11110101111111010100…
…011000101000110000000
321111000002212022212001201
4132233322203011012000
5234104442301122430
64254414054310544
7305442625261006
oct36577243050600
97430085285051
102113032442240
1174514a7aa705
122a162a358454
131243480942a5
14743b26c2a76
1539e714268ca
hex1ebfa8c5180

2113032442240 has 128 divisors (see below), whose sum is σ = 5224920966720. Its totient is φ = 816591175680.

The previous prime is 2113032442211. The next prime is 2113032442247. The reversal of 2113032442240 is 422442303112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21130324422402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2113032442199 and 2113032442208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113032442247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2311812 + ... + 3093628.

Almost surely, 22113032442240 is an apocalyptic number.

2113032442240 is a gapful number since it is divisible by the number (20) 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 2113032442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612460483360).

2113032442240 is an abundant number, since it is smaller than the sum of its proper divisors (3111888524480).

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

2113032442240 is a wasteful number, since it uses less digits than its factorization.

2113032442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781980 (or 781968 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2113032442240 its reverse (422442303112), we get a palindrome (2535474745352).

The spelling of 2113032442240 in words is "two trillion, one hundred thirteen billion, thirty-two million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 103 128 160 164 205 206 320 328 410 412 515 640 656 820 824 1030 1312 1640 1648 2060 2624 3280 3296 4120 4223 5248 6560 6592 8240 8446 13120 13184 16480 16892 21115 26240 32960 33784 42230 65920 67568 84460 135136 168920 270272 337840 540544 675680 781817 1351360 1563634 2702720 3127268 3909085 6254536 7818170 12509072 15636340 25018144 31272680 32054497 50036288 62545360 64108994 80527151 100072576 125090720 128217988 160272485 161054302 250181440 256435976 320544970 322108604 402635755 500362880 512871952 641089940 644217208 805271510 1025743904 1282179880 1288434416 1610543020 2051487808 2564359760 2576868832 3221086040 3301613191 4102975616 5128719520 5153737664 6442172080 6603226382 10257439040 10307475328 12884344160 13206452764 16508065955 20514878080 25768688320 26412905528 33016131910 51537376640 52825811056 66032263820 105651622112 132064527640 211303244224 264129055280 422606488448 528258110560 1056516221120 2113032442240