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10220312230320 = 243589630175937
BaseRepresentation
bin1001010010111001101000…
…0101000111100110110000
31100012001102010120011001110
42110232122011013212300
52314422144412332240
633423051400433320
72103251602403553
oct224563205074660
940161363504043
1010220312230320
1132904568a1525
121190921a78840
13591a04742b9a
14274946b7069a
1512acc175ac80
hex94b9a1479b0

10220312230320 has 160 divisors (see below), whose sum is σ = 32044463040960. Its totient is φ = 2694330777600.

The previous prime is 10220312230313. The next prime is 10220312230339. The reversal of 10220312230320 is 2303221302201.

It is a happy number.

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, 134551392 + ... + 134627328.

It is an arithmetic number, because the mean of its divisors is an integer number (200277894006).

Almost surely, 210220312230320 is an apocalyptic number.

10220312230320 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 10220312230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16022231520480).

10220312230320 is an abundant number, since it is smaller than the sum of its proper divisors (21824150810640).

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

10220312230320 is a wasteful number, since it uses less digits than its factorization.

10220312230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82343 (or 82337 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10220312230320 its reverse (2303221302201), we get a palindrome (12523533532521).

The spelling of 10220312230320 in words is "ten trillion, two hundred twenty billion, three hundred twelve million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3560 4272 5340 6301 7120 10680 12602 18903 21360 25204 31505 37806 50408 63010 75612 75937 94515 100816 126020 151224 151874 189030 227811 252040 302448 303748 378060 379685 455622 504080 560789 607496 756120 759370 911244 1121578 1139055 1214992 1512240 1518740 1682367 1822488 2243156 2278110 2803945 3037480 3364734 3644976 4486312 4556220 5607890 6074960 6729468 6758393 8411835 8972624 9112440 11215780 13458936 13516786 16823670 18224880 20275179 22431560 26917872 27033572 33647340 33791965 40550358 44863120 54067144 67294680 67583930 81100716 101375895 108134288 134589360 135167860 162201432 202751790 270335720 324402864 405503580 478479037 540671440 811007160 956958074 1435437111 1622014320 1913916148 2392395185 2870874222 3827832296 4784790370 5741748444 7177185555 7655664592 9569580740 11483496888 14354371110 19139161480 22966993776 28708742220 38278322960 42584634293 57417484440 85169268586 114834968880 127753902879 170338537172 212923171465 255507805758 340677074344 425846342930 511015611516 638769514395 681354148688 851692685860 1022031223032 1277539028790 1703385371720 2044062446064 2555078057580 3406770743440 5110156115160 10220312230320