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11332401041232 = 2432832311410281
BaseRepresentation
bin1010010011101000011110…
…1111010000111101010000
31111010100220111212010210200
42210322013233100331100
52441132224131304412
640034011055255200
72246511314336025
oct244720757207520
944110814763720
1011332401041232
11367a053a53037
12133036621a500
13642843ba95bb
142b26c397354c
15149bad6719dc
hexa4e87bd0f50

11332401041232 has 120 divisors (see below), whose sum is σ = 32111058802368. Its totient is φ = 3730331404800.

The previous prime is 11332401041231. The next prime is 11332401041261. The reversal of 11332401041232 is 23214010423311.

11332401041232 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 240 + 1 + 0 + 412 + 3 + 2 = 666.

11332401041232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113324010412322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11332401041196 and 11332401041205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332401041231) 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, 27415932 + ... + 27826212.

Almost surely, 211332401041232 is an apocalyptic number.

11332401041232 is a gapful number since it is divisible by the number (12) 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 11332401041232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16055529401184).

11332401041232 is an abundant number, since it is smaller than the sum of its proper divisors (20778657761136).

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

11332401041232 is a wasteful number, since it uses less digits than its factorization.

11332401041232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412689 (or 412680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11332401041232 its reverse (23214010423311), we get a palindrome (34546411464543).

The spelling of 11332401041232 in words is "eleven trillion, three hundred thirty-two billion, four hundred one million, forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2311 2988 3984 4622 5976 6933 9244 11952 13866 18488 20799 27732 36976 41598 55464 83196 110928 166392 191813 332784 383626 410281 575439 767252 820562 1150878 1230843 1534504 1641124 1726317 2301756 2461686 3069008 3282248 3452634 3692529 4603512 4923372 6564496 6905268 7385058 9207024 9846744 13810536 14770116 19693488 27621072 29540232 34053323 59080464 68106646 102159969 136213292 204319938 272426584 306479907 408639876 544853168 612959814 817279752 948159391 1225919628 1634559504 1896318782 2451839256 2844478173 3792637564 4903678512 5688956346 7585275128 8533434519 11377912692 15170550256 17066869038 22755825384 34133738076 45511650768 68267476152 78697229453 136534952304 157394458906 236091688359 314788917812 472183376718 629577835624 708275065077 944366753436 1259155671248 1416550130154 1888733506872 2833100260308 3777467013744 5666200520616 11332401041232