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10310011301300 = 22521031171854801
BaseRepresentation
bin1001011000000111110010…
…0011111010110110110100
31100111121221102012002011112
42112001330203322312310
52322404400343120200
633532204231054152
72112605456051204
oct226017443726664
940447842162145
1010310011301300
1133154a6664147
1211a6195b11358
1359a2cb100549
14279015ad6404
1512d2c1493535
hex9607c8fadb4

10310011301300 has 72 divisors (see below), whose sum is σ = 22609253040192. Its totient is φ = 4080473280000.

The previous prime is 10310011301273. The next prime is 10310011301311. The reversal of 10310011301300 is 310311001301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11633900 + ... + 12488700.

It is an arithmetic number, because the mean of its divisors is an integer number (314017403336).

Almost surely, 210310011301300 is an apocalyptic number.

10310011301300 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 10310011301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304626520096).

10310011301300 is an abundant number, since it is smaller than the sum of its proper divisors (12299241738892).

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

10310011301300 is a wasteful number, since it uses less digits than its factorization.

10310011301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856089 (or 856082 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10310011301300 its reverse (310311001301), we get a palindrome (10620322302601).

The spelling of 10310011301300 in words is "ten trillion, three hundred ten billion, eleven million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 1171 2060 2342 2575 4684 5150 5855 10300 11710 23420 29275 58550 117100 120613 241226 482452 603065 854801 1206130 1709602 2412260 3015325 3419204 4274005 6030650 8548010 12061300 17096020 21370025 42740050 85480100 88044503 176089006 352178012 440222515 880445030 1000971971 1760890060 2001943942 2201112575 4003887884 4402225150 5004859855 8804450300 10009719710 20019439420 25024299275 50048598550 100097197100 103100113013 206200226026 412400452052 515500565065 1031001130130 2062002260260 2577502825325 5155005650650 10310011301300