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11312212032 = 263311595129
BaseRepresentation
bin10101000100100001…
…01010100001000000
31002012100220220122000
422202100222201000
5141131411241112
65110255544000
7550220134002
oct124220524100
932170826560
1011312212032
1148854a3370
12223852b000
1310b380cab4
14794542372
154631b17dc
hex2a242a840

11312212032 has 112 divisors (see below), whose sum is σ = 36279124800. Its totient is φ = 3427937280.

The previous prime is 11312212027. The next prime is 11312212069. The reversal of 11312212032 is 23021221311.

It is a super-2 number, since 2×113122120322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11312211996 and 11312212014.

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, 278557 + ... + 316572.

Almost surely, 211312212032 is an apocalyptic number.

11312212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11312212032 is an abundant number, since it is smaller than the sum of its proper divisors (24966912768).

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

11312212032 is a wasteful number, since it uses less digits than its factorization.

11312212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595161 (or 595145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11312212032 its reverse (23021221311), we get a palindrome (34333433343).

The spelling of 11312212032 in words is "eleven billion, three hundred twelve million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 595129 1190258 1785387 2380516 3570774 4761032 5356161 6546419 7141548 9522064 10712322 13092838 14283096 16068483 19044128 19639257 21424644 26185676 28566192 32136966 38088256 39278514 42849288 52371352 57132384 58917771 64273932 78557028 85698576 104742704 114264768 117835542 128547864 157114056 171397152 176753313 209485408 235671084 257095728 314228112 342794304 353506626 418970816 471342168 514191456 628456224 707013252 942684336 1028382912 1256912448 1414026504 1885368672 2828053008 3770737344 5656106016 11312212032