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1032300211332 = 2231323329987211
BaseRepresentation
bin11110000010110011110…
…00110010110010000100
310122200112202222011121110
433001121320302302010
5113403122323230312
62110122052045020
7134403235006245
oct17013170626204
93580482864543
101032300211332
11368883614825
12148097303770
137646507b020
1437d6c176ccc
151bcbc2a443c
hexf059e32c84

1032300211332 has 96 divisors (see below), whose sum is σ = 2707618636800. Its totient is φ = 303725220480.

The previous prime is 1032300211279. The next prime is 1032300211339. The reversal of 1032300211332 is 2331120032301.

It is a super-2 number, since 2×10323002113322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032300211299 and 1032300211308.

It is not an unprimeable number, because it can be changed into a prime (1032300211339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11793207 + ... + 11880417.

It is an arithmetic number, because the mean of its divisors is an integer number (28204360800).

Almost surely, 21032300211332 is an apocalyptic number.

1032300211332 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 1032300211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353809318400).

1032300211332 is an abundant number, since it is smaller than the sum of its proper divisors (1675318425468).

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

1032300211332 is a wasteful number, since it uses less digits than its factorization.

1032300211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90553 (or 90551 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1032300211332 its reverse (2331120032301), we get a palindrome (3363420243633).

The spelling of 1032300211332 in words is "one trillion, thirty-two billion, three hundred million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3299 3588 6598 9897 13196 19794 39588 42887 75877 85774 87211 128661 151754 171548 174422 227631 257322 261633 303508 348844 455262 514644 523266 910524 986401 1046532 1133743 1972802 2005853 2267486 2959203 3401229 3945604 4011706 4534972 5918406 6017559 6802458 8023412 11836812 12035118 13604916 24070236 26076089 52152178 78228267 104304356 156456534 287709089 312913068 575418178 863127267 1150836356 1726254534 3452509068 3740218157 6617309047 7480436314 11220654471 13234618094 14960872628 19851927141 22441308942 26469236188 39703854282 44882617884 79407708564 86025017611 172050035222 258075052833 344100070444 516150105666 1032300211332