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1332233022033 = 332325125433361
BaseRepresentation
bin10011011000101111010…
…001101010101001010001
311201100201121110121222000
4103120233101222221101
5133311403123201113
62500004105104213
7165151655562504
oct23305721525121
94640647417860
101332233022033
11473aa689a781
12196242188069
1398823cb3544
14486a23c913b
15249c3ae0373
hex1362f46aa51

1332233022033 has 64 divisors (see below), whose sum is σ = 2069124341760. Its totient is φ = 845570880000.

The previous prime is 1332233022019. The next prime is 1332233022037. The reversal of 1332233022033 is 3302203322331.

1332233022033 is a `hidden beast` number, since 1 + 3 + 322 + 3 + 302 + 2 + 0 + 33 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1332233022033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1332233021988 and 1332233022006.

It is not an unprimeable number, because it can be changed into a prime (1332233022037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396378273 + ... + 396381633.

It is an arithmetic number, because the mean of its divisors is an integer number (32330067840).

Almost surely, 21332233022033 is an apocalyptic number.

It is an amenable number.

1332233022033 is a deficient number, since it is larger than the sum of its proper divisors (736891319727).

1332233022033 is a wasteful number, since it uses less digits than its factorization.

1332233022033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6187 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 1332233022033 its reverse (3302203322331), we get a palindrome (4634436344364).

The spelling of 1332233022033 in words is "one trillion, three hundred thirty-two billion, two hundred thirty-three million, twenty-two thousand, thirty-three".

Divisors: 1 3 9 23 27 69 207 251 621 753 2259 2543 3361 5773 6777 7629 10083 17319 22887 30249 51957 58489 68661 77303 90747 155871 175467 231909 526401 638293 695727 843611 1579203 1914879 2087181 2530833 5744637 7592499 8547023 14680739 17233911 19403053 22777497 25641069 44042217 58209159 76923207 132126651 174627477 196581529 230769621 396379953 523882431 589744587 1769233761 2145302773 5307701283 6435908319 19307724957 49341963779 57923174871 148025891337 444077674011 1332233022033