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1030330011300 = 223527189543509
BaseRepresentation
bin11101111111001000111…
…01000100111010100100
310122111110110200122020220
432333210131010322210
5113340103440330200
62105154351524340
7134303352410652
oct16774435047244
93574413618226
101030330011300
11367a62481337
121478275296b0
137620cb388a5
1437c22637dd2
151bc0432b4a0
hexefe4744ea4

1030330011300 has 144 divisors (see below), whose sum is σ = 3057048086400. Its totient is φ = 267840742400.

The previous prime is 1030330011199. The next prime is 1030330011301. The reversal of 1030330011300 is 31100330301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1030330011300.

It is not an unprimeable number, because it can be changed into a prime (1030330011301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1623946 + ... + 2167454.

It is an arithmetic number, because the mean of its divisors is an integer number (21229500600).

Almost surely, 21030330011300 is an apocalyptic number.

1030330011300 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 1030330011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528524043200).

1030330011300 is an abundant number, since it is smaller than the sum of its proper divisors (2026718075100).

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

1030330011300 is a wasteful number, since it uses less digits than its factorization.

1030330011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543686 (or 543679 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1030330011300 its reverse (31100330301), we get a palindrome (1061430341601).

The spelling of 1030330011300 in words is "one trillion, thirty billion, three hundred thirty million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 89 100 142 150 178 213 267 284 300 355 356 426 445 534 710 852 890 1065 1068 1335 1420 1775 1780 2130 2225 2670 3550 4260 4450 5325 5340 6319 6675 7100 8900 10650 12638 13350 18957 21300 25276 26700 31595 37914 63190 75828 94785 126380 157975 189570 315950 379140 473925 543509 631900 947850 1087018 1630527 1895700 2174036 2717545 3261054 5435090 6522108 8152635 10870180 13587725 16305270 27175450 32610540 38589139 40763175 48372301 54350900 77178278 81526350 96744602 115767417 145116903 154356556 163052700 192945695 193489204 231534834 241861505 290233806 385891390 463069668 483723010 578837085 580467612 725584515 771782780 964728475 967446020 1157674170 1209307525 1451169030 1929456950 2315348340 2418615050 2894185425 2902338060 3434433371 3627922575 3858913900 4837230100 5788370850 6868866742 7255845150 10303300113 11576741700 13737733484 14511690300 17172166855 20606600226 34344333710 41213200452 51516500565 68688667420 85860834275 103033001130 171721668550 206066002260 257582502825 343443337100 515165005650 1030330011300