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320423311003032 = 2332167146391820387
BaseRepresentation
bin100100011011011000101110…
…1101000010100110110011000
31120000112011120110202010001100
41020312301131220110312120
5313444303420104044112
63053252234214151400
7124330551231616656
oct11066613550246630
91500464513663040
10320423311003032
1193107843708516
122bb30226652560
13109a3a336670b3
14591a7dcb7ddd6
152709e2b8822dc
hex1236c5da14d98

320423311003032 has 96 divisors (see below), whose sum is σ = 873069735283200. Its totient is φ = 106160892107712.

The previous prime is 320423311002997. The next prime is 320423311003039. The reversal of 320423311003032 is 230300113324023.

320423311003032 is a `hidden beast` number, since 3 + 2 + 0 + 42 + 3 + 311 + 0 + 0 + 303 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 320423311002987 and 320423311003005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320423311003039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175109143 + ... + 176929529.

It is an arithmetic number, because the mean of its divisors is an integer number (9094476409200).

Almost surely, 2320423311003032 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 320423311003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436534867641600).

320423311003032 is an abundant number, since it is smaller than the sum of its proper divisors (552646424280168).

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

320423311003032 is a wasteful number, since it uses less digits than its factorization.

320423311003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835205 (or 1835198 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 320423311003032 its reverse (230300113324023), we get a palindrome (550723424327055).

The spelling of 320423311003032 in words is "three hundred twenty trillion, four hundred twenty-three billion, three hundred eleven million, three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1336 1503 2004 3006 4008 6012 12024 14639 29278 43917 58556 87834 117112 131751 175668 263502 351336 527004 1054008 1820387 2444713 3640774 4889426 5461161 7281548 7334139 9778852 10922322 14563096 14668278 16383483 19557704 21844644 22002417 29336556 32766966 43689288 44004834 58673112 65533932 88009668 131067864 176019336 304004629 608009258 912013887 1216018516 1824027774 2432037032 2736041661 3648055548 5472083322 7296111096 10944166644 21888333288 26648645293 53297290586 79945935879 106594581172 159891871758 213189162344 239837807637 319783743516 479675615274 639567487032 959351230548 1918702461096 4450323763931 8900647527862 13350971291793 17801295055724 26701942583586 35602590111448 40052913875379 53403885167172 80105827750758 106807770334344 160211655501516 320423311003032