Search a number
-
+
11010100112000 = 27531162557387
BaseRepresentation
bin1010000000110111110100…
…0110110010101010000000
31102222112222210210112021122
42200031331012302222000
52420342141112041000
635225545320011412
72214311354545103
oct240157506625200
942875883715248
1011010100112000
1135653a2531610
1212999b8300b68
1361b32ba93ca2
142a0c6ab1873a
151415e8240085
hexa037d1b2a80

11010100112000 has 128 divisors (see below), whose sum is σ = 29862394735680. Its totient is φ = 4003672704000.

The previous prime is 11010100111993. The next prime is 11010100112003. The reversal of 11010100112000 is 21100101011.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11010100112003) 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, 31102694 + ... + 31454693.

Almost surely, 211010100112000 is an apocalyptic number.

11010100112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010100112000 is an abundant number, since it is smaller than the sum of its proper divisors (18852294623680).

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

11010100112000 is an equidigital number, since it uses as much as digits as its factorization.

11010100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62557427 (or 62557405 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11010100112000 its reverse (21100101011), we get a palindrome (11031200213011).

The spelling of 11010100112000 in words is "eleven trillion, ten billion, one hundred million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1375 1408 1600 1760 2000 2200 2750 3200 3520 4000 4400 5500 7040 8000 8800 11000 16000 17600 22000 35200 44000 88000 176000 62557387 125114774 250229548 312786935 500459096 625573870 688131257 1000918192 1251147740 1376262514 1563934675 2001836384 2502295480 2752525028 3127869350 3440656285 4003672768 5004590960 5505050056 6255738700 6881312570 7819673375 8007345536 10009181920 11010100112 12511477400 13762625140 15639346750 17203281425 20018363840 22020200224 25022954800 27525250280 31278693500 34406562850 40036727680 44040400448 50045909600 55050500560 62557387000 68813125700 86016407125 88080800896 100091819200 110101001120 125114774000 137626251400 172032814250 200183638400 220202002240 250229548000 275252502800 344065628500 440404004480 500459096000 550505005600 688131257000 1000918192000 1101010011200 1376262514000 2202020022400 2752525028000 5505050056000 11010100112000