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1332003022332 = 2231923290987317
BaseRepresentation
bin10011011000100001100…
…100010010010111111100
311201100010120200102200120
4103120201210102113330
5133310420233203312
62455525211254540
7165143163610443
oct23304144222774
94640116612616
101332003022332
11473998a87584
1219619914a450
13987b8454448
144867da37d5a
15249ad80c28c
hex136219125fc

1332003022332 has 96 divisors (see below), whose sum is σ = 3415041907200. Its totient is φ = 402201245952.

The previous prime is 1332003022331. The next prime is 1332003022369. The reversal of 1332003022332 is 2332203002331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332003022331) 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 31 ways as a sum of consecutive naturals, for example, 15211138 + ... + 15298454.

It is an arithmetic number, because the mean of its divisors is an integer number (35573353200).

Almost surely, 21332003022332 is an apocalyptic number.

1332003022332 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 1332003022332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707520953600).

1332003022332 is an abundant number, since it is smaller than the sum of its proper divisors (2083038884868).

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

1332003022332 is a wasteful number, since it uses less digits than its factorization.

1332003022332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90275 (or 90273 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 1332003022332 its reverse (2332203002331), we get a palindrome (3664206024663).

The spelling of 1332003022332 in words is "one trillion, three hundred thirty-two billion, three million, twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 2909 5244 5818 8727 11636 17454 34908 55271 66907 87317 110542 133814 165813 174634 200721 221084 261951 267628 331626 349268 401442 523902 663252 802884 1047804 1271233 1659023 2008291 2542466 3318046 3813699 4016582 4977069 5084932 6024873 6636092 7627398 8033164 9954138 12049746 15254796 19908276 24099492 38157529 76315058 114472587 152630116 228945174 254005153 457890348 508010306 762015459 1016020612 1524030918 3048061836 4826097907 5842118519 9652195814 11684237038 14478293721 17526355557 19304391628 23368474076 28956587442 35052711114 57913174884 70105422228 111000251861 222000503722 333000755583 444001007444 666001511166 1332003022332