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210023001320 = 235112342194919
BaseRepresentation
bin1100001110011001011…
…0001010110011101000
3202002002212022220111112
43003212112022303220
511420111342020240
6240252213445452
721113365025126
oct3034626126350
9662085286445
10210023001320
1181085566470
1234854340888
1316a60a00ba2
14a245310916
1556e3377665
hex30e658ace8

210023001320 has 128 divisors (see below), whose sum is σ = 538161408000. Its totient is φ = 73019316480.

The previous prime is 210023001317. The next prime is 210023001329. The reversal of 210023001320 is 23100320012.

It is a happy number.

It is a super-2 number, since 2×2100230013202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210023001295 and 210023001304.

It is not an unprimeable number, because it can be changed into a prime (210023001329) 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, 42693821 + ... + 42698739.

It is an arithmetic number, because the mean of its divisors is an integer number (4204386000).

Almost surely, 2210023001320 is an apocalyptic number.

210023001320 is a gapful number since it is divisible by the number (20) 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 210023001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269080704000).

210023001320 is an abundant number, since it is smaller than the sum of its proper divisors (328138406680).

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

210023001320 is a wasteful number, since it uses less digits than its factorization.

210023001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9183 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 210023001320 its reverse (23100320012), we get a palindrome (233123321332).

The spelling of 210023001320 in words is "two hundred ten billion, twenty-three million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 4219 4919 5060 8438 9838 10120 16876 19676 21095 24595 33752 39352 42190 46409 49190 54109 84380 92818 97037 98380 108218 113137 168760 185636 194074 196760 216436 226274 232045 270545 371272 388148 432872 452548 464090 485185 541090 565685 776296 905096 928180 970370 1067407 1082180 1131370 1244507 1856360 1940740 2134814 2164360 2262740 2489014 3881480 4269628 4525480 4978028 5337035 6222535 8539256 9956056 10674070 12445070 20753261 21348140 24890140 41506522 42696280 49780280 83013044 103766305 166026088 207532610 228285871 415065220 456571742 477325003 830130440 913143484 954650006 1141429355 1826286968 1909300012 2282858710 2386625015 3818600024 4565717420 4773250030 5250575033 9131434840 9546500060 10501150066 19093000120 21002300132 26252875165 42004600264 52505750330 105011500660 210023001320