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10210130320 = 24513194871061
BaseRepresentation
bin10011000001001001…
…00011100110010000
3222100120011100201211
421200210203212100
5131402243132240
64405050305504
7511005450535
oct114044434620
928316140654
1010210130320
11436a397035
121b8b428294
13c693b0740
146cc020d8c
153eb568bea
hex260923990

10210130320 has 160 divisors (see below), whose sum is σ = 26990772480. Its totient is φ = 3560785920.

The previous prime is 10210130303. The next prime is 10210130323. The reversal of 10210130320 is 2303101201.

It is a super-2 number, since 2×102101303202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10210130320.

It is not an unprimeable number, because it can be changed into a prime (10210130323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9622590 + ... + 9623650.

It is an arithmetic number, because the mean of its divisors is an integer number (168692328).

Almost surely, 210210130320 is an apocalyptic number.

10210130320 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 10210130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13495386240).

10210130320 is an abundant number, since it is smaller than the sum of its proper divisors (16780642160).

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

10210130320 is a wasteful number, since it uses less digits than its factorization.

10210130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10210130320 its reverse (2303101201), we get a palindrome (12513231521).

The spelling of 10210130320 in words is "ten billion, two hundred ten million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 487 494 520 760 974 988 1040 1061 1235 1520 1948 1976 2122 2435 2470 3896 3952 4244 4870 4940 5305 6331 7792 8488 9253 9740 9880 10610 12662 13793 16976 18506 19480 19760 20159 21220 25324 27586 31655 37012 38960 40318 42440 46265 50648 55172 63310 68965 74024 80636 84880 92530 100795 101296 110344 120289 126620 137930 148048 161272 185060 201590 220688 240578 253240 262067 275860 322544 370120 403180 481156 506480 516707 524134 551720 601445 740240 806360 962312 1033414 1048268 1103440 1202890 1310335 1612720 1924624 2066828 2096536 2405780 2583535 2620670 4133656 4193072 4811560 5167070 5241340 6717191 8267312 9623120 9817433 10334140 10482680 13434382 19634866 20668280 20965360 26868764 33585955 39269732 41336560 49087165 53737528 67171910 78539464 98174330 107475056 127626629 134343820 157078928 196348660 255253258 268687640 392697320 510506516 537375280 638133145 785394640 1021013032 1276266290 2042026064 2552532580 5105065160 10210130320