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1001010313320 = 233518152338807
BaseRepresentation
bin11101001000100001101…
…11010011100001101000
310112200210010111122210220
432210100313103201220
5112400032120011240
62043505141010040
7132214653162633
oct16442067234150
93480703448726
101001010313320
11356587253286
121420043b3920
13735196a7084
14366406bac1a
151b08a2d35d0
hexe910dd3868

1001010313320 has 128 divisors (see below), whose sum is σ = 3020542237440. Its totient is φ = 265380433920.

The previous prime is 1001010313313. The next prime is 1001010313333. The reversal of 1001010313320 is 233130101001.

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 1001010313320.

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, 113656357 + ... + 113665163.

It is an arithmetic number, because the mean of its divisors is an integer number (23597986230).

Almost surely, 21001010313320 is an apocalyptic number.

1001010313320 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 1001010313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510271118720).

1001010313320 is an abundant number, since it is smaller than the sum of its proper divisors (2019531924120).

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

1001010313320 is a wasteful number, since it uses less digits than its factorization.

1001010313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14235 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1001010313320 its reverse (233130101001), we get a palindrome (1234140414321).

The spelling of 1001010313320 in words is "one trillion, one billion, ten million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5233 5430 7240 8807 10466 10860 15699 17614 20932 21720 26165 26421 31398 35228 41864 44035 52330 52842 62796 70456 78495 88070 104660 105684 125592 132105 156990 176140 209320 211368 264210 313980 352280 528420 627960 947173 1056840 1594067 1894346 2841519 3188134 3788692 4735865 4782201 5683038 6376268 7577384 7970335 9471730 9564402 11366076 12752536 14207595 15940670 18943460 19128804 22732152 23911005 28415190 31881340 37886920 38257608 46087031 47822010 56830380 63762680 92174062 95644020 113660760 138261093 184348124 191288040 230435155 276522186 368696248 460870310 553044372 691305465 921740620 1106088744 1382610930 1843481240 2765221860 5530443720 8341752611 16683505222 25025257833 33367010444 41708763055 50050515666 66734020888 83417526110 100101031332 125126289165 166835052220 200202062664 250252578330 333670104440 500505156660 1001010313320