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132211133003232 = 2532479767370937
BaseRepresentation
bin11110000011111011001101…
…100111100011010111100000
3122100010021001011211222121100
4132003323031213203113200
5114312121400022100412
61145104542255554400
736563640061136103
oct3603731547432740
9570107034758540
10132211133003232
1139143476930328
12129b34a0b2ba00
1358a05c17907aa
1424910a554273a
1510441ad0acedc
hex783ecd9e35e0

132211133003232 has 72 divisors (see below), whose sum is σ = 383974886314656. Its totient is φ = 43132710053376.

The previous prime is 132211133003197. The next prime is 132211133003237. The reversal of 132211133003232 is 232300331112231.

132211133003232 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 1 + 1 + 330 + 0 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 132211133003196 and 132211133003205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132211133003237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4883671933 + ... + 4883699004.

It is an arithmetic number, because the mean of its divisors is an integer number (5332984532148).

Almost surely, 2132211133003232 is an apocalyptic number.

132211133003232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132211133003232 is an abundant number, since it is smaller than the sum of its proper divisors (251763753311424).

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

132211133003232 is a wasteful number, since it uses less digits than its factorization.

132211133003232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9767371000 (or 9767370989 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132211133003232 its reverse (232300331112231), we get a palindrome (364511464115463).

The spelling of 132211133003232 in words is "one hundred thirty-two trillion, two hundred eleven billion, one hundred thirty-three million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 9767370937 19534741874 29302112811 39069483748 58604225622 78138967496 87906338433 117208451244 156277934992 175812676866 234416902488 312555869984 351625353732 459066434039 468833804976 703250707464 918132868078 937667609952 1377199302117 1406501414928 1836265736156 2754398604234 2813002829856 3672531472312 4131597906351 5508797208468 7345062944624 8263195812702 11017594416936 14690125889248 16526391625404 22035188833872 33052783250808 44070377667744 66105566501616 132211133003232