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1303110433140 = 2235891042923399
BaseRepresentation
bin10010111101100111011…
…011110011100101110100
311121120120000011211100120
4102331213123303211310
5132322232232330030
62434350215011540
7163101201631515
oct22754733634564
94546500154316
101303110433140
1146271195a69a
12190675069bb0
1395b62636219
14470dc6daa0c
1523d6c030010
hex12f676f3974

1303110433140 has 96 divisors (see below), whose sum is σ = 3690217440000. Its totient is φ = 343544036352.

The previous prime is 1303110433127. The next prime is 1303110433171. The reversal of 1303110433140 is 413340113031.

It is a self number, because there is not a number n which added to its sum of digits gives 1303110433140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55679161 + ... + 55702559.

It is an arithmetic number, because the mean of its divisors is an integer number (38439765000).

Almost surely, 21303110433140 is an apocalyptic number.

1303110433140 is a gapful number since it is divisible by the number (10) 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 1303110433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845108720000).

1303110433140 is an abundant number, since it is smaller than the sum of its proper divisors (2387107006860).

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

1303110433140 is a wasteful number, since it uses less digits than its factorization.

1303110433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33929 (or 33927 counting only the distinct ones).

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

Adding to 1303110433140 its reverse (413340113031), we get a palindrome (1716450546171).

The spelling of 1303110433140 in words is "one trillion, three hundred three billion, one hundred ten million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340 10429 20858 23399 31287 41716 46798 52145 62574 70197 93596 104290 116995 125148 140394 156435 208580 233990 280788 312870 350985 467980 625740 701970 928181 1403940 1856362 2082511 2784543 3712724 4165022 4640905 5569086 6247533 8330044 9281810 10412555 11138172 12495066 13922715 18563620 20825110 24990132 27845430 31237665 41650220 55690860 62475330 124950660 244028171 488056342 732084513 976112684 1220140855 1464169026 2440281710 2928338052 3660422565 4880563420 7320845130 14641690260 21718507219 43437014438 65155521657 86874028876 108592536095 130311043314 217185072190 260622086628 325777608285 434370144380 651555216570 1303110433140