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11411013200 = 2452314321401
BaseRepresentation
bin10101010000010011…
…00011111001010000
31002110020211112100112
422220021203321100
5141332204410300
65124145340452
7552530004026
oct125011437120
932406745315
1011411013200
114926246124
122265637728
1310cb123a22
147a3700716
1546bbcae35
hex2a8263e50

11411013200 has 120 divisors (see below), whose sum is σ = 28958789376. Its totient is φ = 4314240000.

The previous prime is 11411013191. The next prime is 11411013203. The reversal of 11411013200 is 231011411.

It is a super-2 number, since 2×114110132002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411013203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522500 + ... + 543900.

Almost surely, 211411013200 is an apocalyptic number.

11411013200 is a gapful number since it is divisible by the number (10) 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 11411013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14479394688).

11411013200 is an abundant number, since it is smaller than the sum of its proper divisors (17547776176).

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

11411013200 is a wasteful number, since it uses less digits than its factorization.

11411013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21493 (or 21482 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11411013200 its reverse (231011411), we get a palindrome (11642024611).

The spelling of 11411013200 in words is "eleven billion, four hundred eleven million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 43 50 62 80 86 100 124 155 172 200 215 248 310 344 400 430 496 620 688 775 860 1075 1240 1333 1550 1720 2150 2480 2666 3100 3440 4300 5332 6200 6665 8600 10664 12400 13330 17200 21328 21401 26660 33325 42802 53320 66650 85604 106640 107005 133300 171208 214010 266600 342416 428020 533200 535025 663431 856040 920243 1070050 1326862 1712080 1840486 2140100 2653724 3317155 3680972 4280200 4601215 5307448 6634310 7361944 8560400 9202430 10614896 13268620 14723888 16585775 18404860 23006075 26537240 28527533 33171550 36809720 46012150 53074480 57055066 66343100 73619440 92024300 114110132 132686200 142637665 184048600 228220264 265372400 285275330 368097200 456440528 570550660 713188325 1141101320 1426376650 2282202640 2852753300 5705506600 11411013200