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120101002302320 = 24513316735535241
BaseRepresentation
bin11011010011101100110001…
…100101000101001101110000
3120202020112200100102121111022
4123103230301211011031300
5111220213323042133240
61103233345550435012
734204003540452644
oct3323546145051560
9522215610377438
10120101002302320
11352a4604855936
1211578466802a68
1352026257a14c0
142192cc327ac24
15dd41818789b5
hex6d3b31945370

120101002302320 has 160 divisors (see below), whose sum is σ = 310876194983424. Its totient is φ = 42850728345600.

The previous prime is 120101002302313. The next prime is 120101002302409. The reversal of 120101002302320 is 23203200101021.

120101002302320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18929900 + ... + 24465140.

Almost surely, 2120101002302320 is an apocalyptic number.

120101002302320 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 120101002302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155438097491712).

120101002302320 is an abundant number, since it is smaller than the sum of its proper divisors (190775192681104).

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

120101002302320 is a wasteful number, since it uses less digits than its factorization.

120101002302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535971 (or 5535965 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120101002302320 its reverse (23203200101021), we get a palindrome (143304202403341).

The spelling of 120101002302320 in words is "one hundred twenty trillion, one hundred one billion, two million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 673 806 1040 1240 1346 1612 2015 2480 2692 3224 3365 4030 5384 6448 6730 8060 8749 10768 13460 16120 17498 20863 26920 32240 34996 41726 43745 53840 69992 83452 87490 104315 139984 166904 174980 208630 271219 333808 349960 417260 542438 699920 834520 1084876 1356095 1669040 2169752 2712190 4339504 5424380 5535241 10848760 11070482 21697520 22140964 27676205 44281928 55352410 71958133 88563856 110704820 143916266 171592471 221409640 287832532 343184942 359790665 442819280 575665064 686369884 719581330 857962355 1151330128 1372739768 1439162660 1715924710 2230702123 2745479536 2878325320 3431849420 3725217193 4461404246 5756650640 6863698840 7450434386 8922808492 11153510615 13727397680 14900868772 17845616984 18626085965 22307021230 29801737544 35691233968 37252171930 44614042460 48427823509 59603475088 74504343860 89228084920 96855647018 115481732983 149008687720 178456169840 193711294036 230963465966 242139117545 298017375440 387422588072 461926931932 484278235090 577408664915 774845176144 923853863864 968556470180 1154817329830 1501262528779 1847707727728 1937112940360 2309634659660 3002525057558 3874225880720 4619269319320 6005050115116 7506312643895 9238538638640 12010100230232 15012625287790 24020200460464 30025250575580 60050501151160 120101002302320