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1003324413102 = 2311197129713793
BaseRepresentation
bin11101001100110101100…
…10111001010010101110
310112220202101220002221020
432212122302321102232
5112414302022204402
62044530524115010
7132326212540344
oct16463262712256
93486671802836
101003324413102
11357564524740
1214254b395a66
13737c7c47b9b
14367bdb79994
151b17353c8bc
hexe99acb94ae

1003324413102 has 128 divisors (see below), whose sum is σ = 2338143252480. Its totient is φ = 283808448000.

The previous prime is 1003324413089. The next prime is 1003324413107. The reversal of 1003324413102 is 2013144233001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003324413107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264518118 + ... + 264521910.

It is an arithmetic number, because the mean of its divisors is an integer number (18266744160).

Almost surely, 21003324413102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003324413102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169071626240).

1003324413102 is an abundant number, since it is smaller than the sum of its proper divisors (1334818839378).

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

1003324413102 is a wasteful number, since it uses less digits than its factorization.

1003324413102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870.

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

Adding to 1003324413102 its reverse (2013144233001), we get a palindrome (3016468646103).

The spelling of 1003324413102 in words is "one trillion, three billion, three hundred twenty-four million, four hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 71 114 142 209 213 418 426 627 781 1254 1349 1562 2343 2698 2971 3793 4047 4686 5942 7586 8094 8913 11379 14839 17826 22758 29678 32681 41723 44517 56449 65362 72067 83446 89034 98043 112898 125169 144134 169347 196086 210941 216201 250338 269303 338694 421882 432402 538606 620939 632823 792737 807909 1241878 1265646 1585474 1615818 1862817 2320351 2378211 2962333 3725634 4007879 4640702 4756422 5116757 5924666 6961053 8015758 8886999 10233514 11269003 12023637 13922106 15350271 17773998 22538006 24047274 30700542 33807009 44086669 56284327 67614018 88173338 112568654 123959033 132260007 168852981 214111057 247918066 264520014 337705962 371877099 428222114 642333171 743754198 800099213 1284666342 1600198426 2355221627 2400297639 4710443254 4800595278 7065664881 8801091343 14131329762 15201885047 17602182686 26403274029 30403770094 45605655141 52806548058 91211310282 167220735517 334441471034 501662206551 1003324413102