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11311114304 = 267371315209
BaseRepresentation
bin10101000100011000…
…11110100001000000
31002012021212010211102
422202030132201000
5141131121124204
65110220233532
7550204612430
oct124214364100
932167763742
1011311114304
114884913656
12223809b8a8
1310b3517259
147943382c0
1546304641e
hex2a231e840

11311114304 has 112 divisors (see below), whose sum is σ = 26551493760. Its totient is φ = 4679700480.

The previous prime is 11311114291. The next prime is 11311114307. The reversal of 11311114304 is 40341111311.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (11311114307) 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, 2168852 + ... + 2174060.

Almost surely, 211311114304 is an apocalyptic number.

11311114304 is a gapful number since it is divisible by the number (14) 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 11311114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275746880).

11311114304 is an abundant number, since it is smaller than the sum of its proper divisors (15240379456).

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

11311114304 is a wasteful number, since it uses less digits than its factorization.

11311114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5396 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11311114304 its reverse (40341111311), we get a palindrome (51652225615).

The spelling of 11311114304 in words is "eleven billion, three hundred eleven million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 131 148 224 259 262 296 448 518 524 592 917 1036 1048 1184 1834 2072 2096 2368 3668 4144 4192 4847 5209 7336 8288 8384 9694 10418 14672 16576 19388 20836 29344 33929 36463 38776 41672 58688 67858 72926 77552 83344 135716 145852 155104 166688 192733 271432 291704 310208 333376 385466 542864 583408 682379 770932 1085728 1166816 1349131 1364758 1541864 2171456 2333632 2698262 2729516 3083728 4776653 5396524 5459032 6167456 9553306 10793048 10918064 12334912 19106612 21586096 21836128 25248023 38213224 43172192 43672256 50496046 76426448 86344384 100992092 152852896 176736161 201984184 305705792 353472322 403968368 706944644 807936736 1413889288 1615873472 2827778576 5655557152 11311114304