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331012103223102 = 237831972711778611
BaseRepresentation
bin100101101000011011100001…
…0110101000011011100111110
31121102000110002121102012122120
41023100313002311003130332
5321341300241411114402
63132000505544023410
7126502556331500130
oct11320670265033476
91542013077365576
10331012103223102
119651a498890094
1231160443761b66
13112913cc475c72
145ba50dd837050
1528405b770e3bc
hex12d0dc2d4373e

331012103223102 has 128 divisors (see below), whose sum is σ = 772441914359808. Its totient is φ = 92618056540800.

The previous prime is 331012103222989. The next prime is 331012103223143. The reversal of 331012103223102 is 201322301210133.

It is a congruent 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, 185217777 + ... + 186996387.

It is an arithmetic number, because the mean of its divisors is an integer number (6034702455936).

Almost surely, 2331012103223102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331012103223102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386220957179904).

331012103223102 is an abundant number, since it is smaller than the sum of its proper divisors (441429811136706).

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

331012103223102 is a wasteful number, since it uses less digits than its factorization.

331012103223102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779174.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 331012103223102 its reverse (201322301210133), we get a palindrome (532334404433235).

The spelling of 331012103223102 in words is "three hundred thirty-one trillion, twelve billion, one hundred three million, two hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 83 166 197 249 271 394 498 542 581 591 813 1162 1182 1379 1626 1743 1897 2758 3486 3794 4137 5691 8274 11382 16351 22493 32702 44986 49053 53387 67479 98106 106774 114457 134958 157451 160161 228914 314902 320322 343371 373709 472353 686742 747418 944706 1121127 1778611 2242254 3557222 4431121 5335833 8862242 10671666 12450277 13293363 24900554 26586726 31017847 37350831 62035694 74701662 93053541 147624713 186107082 295249426 350386367 442874139 482003581 700772734 885748278 964007162 1033372991 1051159101 1446010743 2066745982 2102318202 2452704569 2892021486 3100118973 3374025067 4905409138 6200237946 6748050134 7358113707 10122075201 14716227414 20244150402 29082068461 40006297223 58164136922 80012594446 87246205383 94954705457 120018891669 174492410766 189909410914 203574479227 240037783338 280044080561 284864116371 407148958454 560088161122 569728232742 610723437681 664682938199 840132241683 1221446875362 1329365876398 1680264483366 1994048814597 3988097629194 7881240552931 15762481105862 23643721658793 47287443317586 55168683870517 110337367741034 165506051611551 331012103223102