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120302202230020 = 225235921587205339
BaseRepresentation
bin11011010110101000001010…
…000001111001010100000100
3120202221210000022120221100101
4123112220022001321110010
5111232012402232330040
61103510022503253444
734224355501564306
oct3326501201712404
9522853008527311
10120302202230020
1135371971983518
12115ab45814a284
1352185ab58ac65
14219c92c86d976
15dd950a32209a
hex6d6a0a079504

120302202230020 has 96 divisors (see below), whose sum is σ = 268100577561600. Its totient is φ = 45246205302144.

The previous prime is 120302202229969. The next prime is 120302202230033. The reversal of 120302202230020 is 20032202203021.

It is a super-2 number, since 2×1203022022300202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120302202230020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585768511 + ... + 585973849.

It is an arithmetic number, because the mean of its divisors is an integer number (2792714349600).

Almost surely, 2120302202230020 is an apocalyptic number.

120302202230020 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 120302202230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134050288780800).

120302202230020 is an abundant number, since it is smaller than the sum of its proper divisors (147798375331580).

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

120302202230020 is a wasteful number, since it uses less digits than its factorization.

120302202230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227017 (or 227015 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 120302202230020 its reverse (20032202203021), we get a palindrome (140334404433041).

The spelling of 120302202230020 in words is "one hundred twenty trillion, three hundred two billion, two hundred two million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 590 1180 1357 2714 5428 6785 13570 21587 27140 43174 86348 107935 205339 215870 410678 431740 496501 821356 993002 1026695 1273633 1986004 2053390 2482505 2547266 4106780 4722797 4965010 5094532 6368165 9445594 9930020 12115001 12736330 18891188 23613985 24230002 25472660 29293559 47227970 48460004 58587118 60575005 94455940 117174236 121150010 146467795 242300020 278645023 292935590 557290046 585871180 1114580092 1393225115 2786450230 4432652993 5572900460 8865305986 17730611972 22163264965 44326529930 88653059860 101951018839 203902037678 261526526587 407804075356 509755094195 523053053174 1019510188390 1046106106348 1307632632935 2039020376780 2615265265870 5230530531740 6015110111501 12030220223002 24060440446004 30075550557505 60151101115010 120302202230020