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1332333312232 = 2313292713162829
BaseRepresentation
bin10011011000110101010…
…000001111100011101000
311201100222121011220020211
4103120311100033203220
5133312104311442412
62500022050430504
7165154314203656
oct23306520174350
94640877156224
101332333312232
1147404846a23a
1219626b892434
139883b9c9160
14486b1853dd6
15249cc800ca7
hex1363540f8e8

1332333312232 has 64 divisors (see below), whose sum is σ = 2784099906000. Its totient is φ = 593496336384.

The previous prime is 1332333312229. The next prime is 1332333312239. The reversal of 1332333312232 is 2322133332331.

It can be written as a sum of positive squares in 8 ways, for example, as 1194399808996 + 137933503236 = 1092886^2 + 371394^2 .

It is a super-2 number, since 2×13323333122322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1332333312194 and 1332333312203.

It is not an unprimeable number, because it can be changed into a prime (1332333312239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8100994 + ... + 8263822.

Almost surely, 21332333312232 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 1332333312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392049953000).

1332333312232 is an abundant number, since it is smaller than the sum of its proper divisors (1451766593768).

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

1332333312232 is a wasteful number, since it uses less digits than its factorization.

1332333312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165590 (or 165586 counting only the distinct ones).

The product of its digits is 34992, while the sum is 31.

Adding to 1332333312232 its reverse (2322133332331), we get a palindrome (3654466644563).

The spelling of 1332333312232 in words is "one trillion, three hundred thirty-two billion, three hundred thirty-three million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 2713 3016 5426 10852 21704 35269 70538 78677 141076 157354 162829 282152 314708 325658 629416 651316 1022801 1302632 2045602 2116777 4091204 4233554 4722041 8182408 8467108 9444082 16934216 18888164 37776328 61386533 122773066 245546132 441755077 491092264 883510154 1767020308 3534040616 5742816001 11485632002 12810897233 22971264004 25621794466 45942528008 51243588932 102487177864 166541664029 333083328058 666166656116 1332333312232