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1003422300104 = 237433118391597
BaseRepresentation
bin11101001101000001010…
…00010011011111001000
310112221000020002021122202
432212200220103133020
5112420002102100404
62044544342135332
7132331511552240
oct16464050233710
93487006067582
101003422300104
11357604802694
12142578121548
13738122cb9a3
14367ccb7ab20
151b17be2621e
hexe9a0a137c8

1003422300104 has 128 divisors (see below), whose sum is σ = 2211284275200. Its totient is φ = 417925751040.

The previous prime is 1003422300103. The next prime is 1003422300109. The reversal of 1003422300104 is 4010032243001.

It is not an unprimeable number, because it can be changed into a prime (1003422300103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628316234 + ... + 628317830.

It is an arithmetic number, because the mean of its divisors is an integer number (17275658400).

Almost surely, 21003422300104 is an apocalyptic number.

1003422300104 is a gapful number since it is divisible by the number (14) 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 1003422300104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105642137600).

1003422300104 is an abundant number, since it is smaller than the sum of its proper divisors (1207861975096).

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

1003422300104 is a wasteful number, since it uses less digits than its factorization.

1003422300104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1003422300104 its reverse (4010032243001), we get a palindrome (5013454543105).

The spelling of 1003422300104 in words is "one trillion, three billion, four hundred twenty-two million, three hundred thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 311 344 602 622 839 1204 1244 1597 1678 2177 2408 2488 3194 3356 4354 5873 6388 6712 8708 11179 11746 12776 13373 17416 22358 23492 26746 36077 44716 46984 53492 68671 72154 89432 93611 106984 137342 144308 187222 252539 260929 274684 288616 374444 480697 496667 505078 521858 549368 748888 961394 993334 1010156 1043716 1339883 1826503 1922788 1986668 2020312 2087432 2679766 3476669 3653006 3845576 3973336 5359532 6953338 7306012 9379181 10719064 11219947 13906676 14612024 18758362 21356681 22439894 27813352 37516724 42713362 44879788 57614969 75033448 78539629 85426724 89759576 115229938 149496767 157079258 170853448 230459876 298993534 314158516 403304783 416703613 460919752 597987068 628317032 806609566 833407226 1195974136 1613219132 1666814452 2916925291 3226438264 3333628904 5833850582 11667701164 17918255359 23335402328 35836510718 71673021436 125427787513 143346042872 250855575026 501711150052 1003422300104