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2042313351320 = 2351147103395603
BaseRepresentation
bin11101101110000011010…
…111001010000010011000
321020020120022212210220002
4131232003113022002120
5231430124204220240
64202120434552132
7300360300025244
oct35560327120230
97206508783802
102042313351320
1171815a709a20
1228b992738648
1311a787984b68
1470bc43a3424
15381d2b21d15
hex1db835ca098

2042313351320 has 128 divisors (see below), whose sum is σ = 5124619146240. Its totient is φ = 726146903040.

The previous prime is 2042313351317. The next prime is 2042313351383. The reversal of 2042313351320 is 231533132402.

It is a happy number.

It is a congruent number.

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, 21314639 + ... + 21410241.

It is an arithmetic number, because the mean of its divisors is an integer number (40036087080).

Almost surely, 22042313351320 is an apocalyptic number.

2042313351320 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 2042313351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562309573120).

2042313351320 is an abundant number, since it is smaller than the sum of its proper divisors (3082305794920).

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

2042313351320 is a wasteful number, since it uses less digits than its factorization.

2042313351320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96705 (or 96701 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 2042313351320 its reverse (231533132402), we get a palindrome (2273846483722).

The spelling of 2042313351320 in words is "two trillion, forty-two billion, three hundred thirteen million, three hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1033 1034 1880 2066 2068 2585 4132 4136 5165 5170 8264 10330 10340 11363 20660 20680 22726 41320 45452 48551 56815 90904 95603 97102 113630 191206 194204 227260 242755 382412 388408 454520 478015 485510 534061 764824 956030 971020 1051633 1068122 1912060 1942040 2103266 2136244 2670305 3824120 4206532 4272488 4493341 5258165 5340610 8413064 8986682 10516330 10681220 17973364 21032660 21362440 22466705 35946728 42065320 44933410 49426751 89866820 98757899 98853502 179733640 197515798 197707004 247133755 395031596 395414008 493789495 494267510 790063192 987578990 988535020 1086336889 1975157980 1977070040 2172673778 3950315960 4345347556 4641621253 5431684445 8690695112 9283242506 10863368890 18566485012 21726737780 23208106265 37132970024 43453475560 46416212530 51057833783 92832425060 102115667566 185664850120 204231335132 255289168915 408462670264 510578337830 1021156675660 2042313351320