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10302010221132 = 2234725311794679
BaseRepresentation
bin1001010111101001111110…
…1010001110001001001100
31100110212021210202002120000
42111322133222032021030
52322242004104034012
633524402252124300
72112203263021650
oct225723752161114
940425253662500
1010302010221132
1133120702191a3
1211a4722466690
1359962459c896
1427889722aa60
1512cea3d32ddc
hex95e9fa8e24c

10302010221132 has 120 divisors (see below), whose sum is σ = 30791023253760. Its totient is φ = 2942266900320.

The previous prime is 10302010221103. The next prime is 10302010221161. The reversal of 10302010221132 is 23112201020301.

10302010221132 is a `hidden beast` number, since 1 + 0 + 302 + 0 + 10 + 221 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (10302010221103) and next prime (10302010221161).

It is a super-2 number, since 2×103020102211322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 4842969 + ... + 6637647.

It is an arithmetic number, because the mean of its divisors is an integer number (256591860448).

Almost surely, 210302010221132 is an apocalyptic number.

10302010221132 is a gapful number since it is divisible by the number (12) 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 10302010221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15395511626880).

10302010221132 is an abundant number, since it is smaller than the sum of its proper divisors (20489013032628).

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

10302010221132 is a wasteful number, since it uses less digits than its factorization.

10302010221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797233 (or 1797222 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10302010221132 its reverse (23112201020301), we get a palindrome (33414211241433).

The spelling of 10302010221132 in words is "ten trillion, three hundred two billion, ten million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 2531 5062 7593 10124 15186 17717 22779 30372 35434 45558 53151 68337 70868 91116 106302 136674 159453 205011 212604 273348 318906 410022 478359 637812 820044 956718 1435077 1794679 1913436 2870154 3589358 5384037 5740308 7178716 10768074 12562753 16152111 21536148 25125506 32304222 37688259 48456333 50251012 64608444 75376518 96912666 113064777 145368999 150753036 193825332 226129554 290737998 339194331 452259108 581475996 678388662 1017582993 1356777324 2035165986 4070331972 4542332549 9084665098 13626997647 18169330196 27253995294 31796327843 40880992941 54507990588 63592655686 81761985882 95388983529 122642978823 127185311372 163523971764 190777967058 245285957646 286166950587 367928936469 381555934116 490571915292 572333901174 735857872938 858500851761 1144667802348 1471715745876 1717001703522 2575502555283 3434003407044 5151005110566 10302010221132