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120230021310 = 23576726332491
BaseRepresentation
bin110111111111001000…
…1001000100010111110
3102111100000222220102020
41233332101020202332
53432212341140220
6131122150341010
711454261214320
oct1577621104276
9374300886366
10120230021310
1146a97792583
121b37495a766
13b450a53259
145b67b01610
1531da290040
hex1bfe4488be

120230021310 has 128 divisors (see below), whose sum is σ = 335978717184. Its totient is φ = 26967219840.

The previous prime is 120230021231. The next prime is 120230021339. The reversal of 120230021310 is 13120032021.

It is a super-2 number, since 2×1202300213102 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120230021310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3684165 + ... + 3716655.

It is an arithmetic number, because the mean of its divisors is an integer number (2624833728).

Almost surely, 2120230021310 is an apocalyptic number.

120230021310 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 120230021310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989358592).

120230021310 is an abundant number, since it is smaller than the sum of its proper divisors (215748695874).

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

120230021310 is a wasteful number, since it uses less digits than its factorization.

120230021310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32838.

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

Adding to 120230021310 its reverse (13120032021), we get a palindrome (133350053331).

The spelling of 120230021310 in words is "one hundred twenty billion, two hundred thirty million, twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 263 335 402 469 526 670 789 938 1005 1315 1407 1578 1841 2010 2345 2630 2814 3682 3945 4690 5523 7035 7890 9205 11046 14070 17621 18410 27615 32491 35242 52863 55230 64982 88105 97473 105726 123347 162455 176210 194946 227437 246694 264315 324910 370041 454874 487365 528630 616735 682311 740082 974730 1137185 1233470 1364622 1850205 2176897 2274370 3411555 3700410 4353794 6530691 6823110 8545133 10884485 13061382 15238279 17090266 21768970 25635399 30476558 32653455 42725665 45714837 51270798 59815931 65306910 76191395 85451330 91429674 119631862 128176995 152382790 179447793 228574185 256353990 299079655 358895586 457148370 572523911 598159310 897238965 1145047822 1717571733 1794477930 2862619555 3435143466 4007667377 5725239110 8015334754 8587858665 12023002131 17175717330 20038336885 24046004262 40076673770 60115010655 120230021310