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11303211040 = 2551117337123
BaseRepresentation
bin10101000011011100…
…10101000000100000
31002011201222121120221
422201232111000200
5141122110223130
65105335012424
7550050465022
oct124156250040
932151877527
1011303211040
114880405830
12223550a114
1310b19aab74
1479327c012
154624d487a
hex2a1b95020

11303211040 has 96 divisors (see below), whose sum is σ = 29300636736. Its totient is φ = 4086389760.

The previous prime is 11303211037. The next prime is 11303211043. The reversal of 11303211040 is 4011230311.

It is an interprime number because it is at equal distance from previous prime (11303211037) and next prime (11303211043).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11303211043) 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, 285919 + ... + 323041.

It is an arithmetic number, because the mean of its divisors is an integer number (305214966).

Almost surely, 211303211040 is an apocalyptic number.

11303211040 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 11303211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650318368).

11303211040 is an abundant number, since it is smaller than the sum of its proper divisors (17997425696).

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

11303211040 is a wasteful number, since it uses less digits than its factorization.

11303211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37322 (or 37314 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11303211040 its reverse (4011230311), we get a palindrome (15314441351).

The spelling of 11303211040 in words is "eleven billion, three hundred three million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 173 176 220 346 352 440 692 865 880 1384 1730 1760 1903 2768 3460 3806 5536 6920 7612 9515 13840 15224 19030 27680 30448 37123 38060 60896 74246 76120 148492 152240 185615 296984 304480 371230 408353 593968 742460 816706 1187936 1484920 1633412 2041765 2969840 3266824 4083530 5939680 6422279 6533648 8167060 12844558 13067296 16334120 25689116 32111395 32668240 51378232 64222790 65336480 70645069 102756464 128445580 141290138 205512928 256891160 282580276 353225345 513782320 565160552 706450690 1027564640 1130321104 1412901380 2260642208 2825802760 5651605520 11303211040