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1002232311234 = 237115953816833
BaseRepresentation
bin11101001010110011011…
…00110110110111000010
310112210221021220120210220
432211121230312313002
5112410032432424414
62044230312403510
7132260152041030
oct16453154666702
93483837816726
101002232311234
11357054014410
121422a56a6596
137368290116b
1436718ad5550
151b10c716ca9
hexe959b36dc2

1002232311234 has 128 divisors (see below), whose sum is σ = 2542274242560. Its totient is φ = 255822873600.

The previous prime is 1002232311203. The next prime is 1002232311253. The reversal of 1002232311234 is 4321132322001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146671882 + ... + 146678714.

It is an arithmetic number, because the mean of its divisors is an integer number (19861517520).

Almost surely, 21002232311234 is an apocalyptic number.

1002232311234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002232311234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271137121280).

1002232311234 is an abundant number, since it is smaller than the sum of its proper divisors (1540041931326).

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

1002232311234 is a wasteful number, since it uses less digits than its factorization.

1002232311234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12296.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1002232311234 its reverse (4321132322001), we get a palindrome (5323364633235).

The spelling of 1002232311234 in words is "one trillion, two billion, two hundred thirty-two million, three hundred eleven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 77 118 154 177 231 354 413 462 649 826 1239 1298 1947 2478 3894 4543 5381 6833 9086 10762 13629 13666 16143 20499 27258 32286 37667 40998 47831 59191 75163 75334 95662 113001 118382 143493 150326 177573 225489 226002 286986 317479 355146 403147 414337 450978 526141 634958 806294 828674 952437 1052282 1209441 1243011 1578423 1904874 2222353 2418882 2486022 2822029 3156846 3492269 4434617 4444706 5644058 6667059 6984538 8466087 8869234 10476807 13303851 13334118 16932174 20953614 24445883 26607702 31042319 36768373 48891766 62084638 73337649 73536746 93126957 110305119 146675298 186253914 220610238 257378611 404452103 514757222 772135833 808904206 1213356309 1544271666 2169334007 2426712618 2831164721 4338668014 5662329442 6508002021 8493494163 13016004042 15185338049 16986988326 23862674077 30370676098 45556014147 47725348154 71588022231 91112028294 143176044462 167038718539 334077437078 501116155617 1002232311234