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11014123232 = 257412295237
BaseRepresentation
bin10100100000111111…
…00010111011100000
31001102121000102200002
422100133202323200
5140024103420412
65020530515132
7536640334310
oct122037427340
931377012602
1011014123232
114742204892
122174735aa8
131066b30ba8
14766b09440
15446e2ddc2
hex2907e2ee0

11014123232 has 96 divisors (see below), whose sum is σ = 25501936320. Its totient is φ = 4584222720.

The previous prime is 11014123223. The next prime is 11014123277. The reversal of 11014123232 is 23232141011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100518 + ... + 2105754.

It is an arithmetic number, because the mean of its divisors is an integer number (265645170).

Almost surely, 211014123232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12750968160).

11014123232 is an abundant number, since it is smaller than the sum of its proper divisors (14487813088).

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

11014123232 is a wasteful number, since it uses less digits than its factorization.

11014123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11014123232 its reverse (23232141011), we get a palindrome (34246264243).

The spelling of 11014123232 in words is "eleven billion, fourteen million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 229 287 328 458 574 656 916 1148 1312 1603 1832 2296 3206 3664 4592 5237 6412 7328 9184 9389 10474 12824 18778 20948 25648 36659 37556 41896 51296 65723 73318 75112 83792 131446 146636 150224 167584 214717 262892 293272 300448 429434 525784 586544 858868 1051568 1173088 1199273 1503019 1717736 2103136 2398546 3006038 3435472 4797092 6012076 6870944 8394911 9594184 12024152 16789822 19188368 24048304 33579644 38376736 48096608 49170193 67159288 98340386 134318576 196680772 268637152 344191351 393361544 688382702 786723088 1376765404 1573446176 2753530808 5507061616 11014123232