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10220010201330 = 2353143927918969
BaseRepresentation
bin1001010010111000100000…
…0100111110000011110010
31100012000122002020111011120
42110232020010332003302
52314421040102420310
633423001411123110
72103241244243556
oct224561004760362
940160562214146
1010220010201330
113290311361696
1211908588a3496
13591986cb46c7
142749189cd866
1512aca4e9ab70
hex94b8813e0f2

10220010201330 has 128 divisors (see below), whose sum is σ = 25388848742400. Its totient is φ = 2630178086400.

The previous prime is 10220010201319. The next prime is 10220010201343. The reversal of 10220010201330 is 3310201002201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139477086 + ... + 1139486054.

It is an arithmetic number, because the mean of its divisors is an integer number (198350380800).

Almost surely, 210220010201330 is an apocalyptic number.

10220010201330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220010201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12694424371200).

10220010201330 is an abundant number, since it is smaller than the sum of its proper divisors (15168838541070).

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

10220010201330 is a wasteful number, since it uses less digits than its factorization.

10220010201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12240.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10220010201330 its reverse (3310201002201), we get a palindrome (13530211203531).

It can be divided in two parts, 102200 and 10201330, that added together give a triangular number (10303530 = T4539).

The spelling of 10220010201330 in words is "ten trillion, two hundred twenty billion, ten million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 439 465 878 930 1317 2195 2634 2791 4390 5582 6585 8373 8969 13170 13609 13955 16746 17938 26907 27218 27910 40827 41865 44845 53814 68045 81654 83730 86521 89690 134535 136090 173042 204135 259563 269070 278039 408270 432605 519126 556078 834117 865210 1225249 1297815 1390195 1668234 2450498 2595630 2780390 3675747 3937391 4170585 6126245 7351494 7874782 8341170 11812173 12252490 18378735 19686955 23624346 25032479 36757470 37982719 39373910 50064958 59060865 75097437 75965438 113948157 118121730 122059121 125162395 150194874 189913595 227896314 244118242 250324790 366177363 375487185 379827190 569740785 610295605 732354726 750974370 776006849 1139481570 1220591210 1552013698 1830886815 2328020547 3661773630 3880034245 4656041094 7760068490 10989258281 11640102735 21978516562 23280205470 32967774843 54946291405 65935549686 109892582810 164838874215 329677748430 340667006711 681334013422 1022001020133 1703335033555 2044002040266 3406670067110 5110005100665 10220010201330