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120100230330330 = 23529376607564701
BaseRepresentation
bin11011010011101100000011…
…100100001111011111011010
3120202020110200112211101000010
4123103230003210033133122
5111220210232431032310
61103233141212422350
734203645445012515
oct3323540344173732
9522213615741003
10120100230330330
11352a4249018958
12115782901779b6
135202531882b43
142192c4c929d7c
15dd4138bdb320
hex6d3b0390f7da

120100230330330 has 128 divisors (see below), whose sum is σ = 306285690977280. Its totient is φ = 30082011724800.

The previous prime is 120100230330323. The next prime is 120100230330371. The reversal of 120100230330330 is 33033032001021.

It is a junction number, because it is equal to n+sod(n) for n = 120100230330297 and 120100230330306.

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, 212396980 + ... + 212961680.

It is an arithmetic number, because the mean of its divisors is an integer number (2392856960760).

Almost surely, 2120100230330330 is an apocalyptic number.

120100230330330 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 120100230330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153142845488640).

120100230330330 is an abundant number, since it is smaller than the sum of its proper divisors (186185460646950).

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

120100230330330 is a wasteful number, since it uses less digits than its factorization.

120100230330330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571384.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 120100230330330 its reverse (33033032001021), we get a palindrome (153133262331351).

The spelling of 120100230330330 in words is "one hundred twenty trillion, one hundred billion, two hundred thirty million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 74 87 111 145 174 185 222 290 370 435 555 870 1073 1110 2146 3219 5365 6438 6607 10730 13214 16095 19821 32190 33035 39642 66070 99105 191603 198210 244459 383206 488918 564701 574809 733377 958015 1129402 1149618 1222295 1466754 1694103 1916030 2444590 2823505 2874045 3388206 3666885 5647010 5748090 7089311 7333770 8470515 14178622 16376329 16941030 20893937 21267933 32752658 35446555 41787874 42535866 49128987 62681811 70893110 81881645 98257974 104469685 106339665 125363622 163763290 208939370 212679330 245644935 313409055 491289870 605924173 626818110 1211848346 1817772519 3029620865 3635545038 3730979507 6059241730 7461959014 9088862595 11192938521 18177725190 18654897535 22385877042 37309795070 55964692605 108198405703 111929385210 138046241759 216396811406 276092483518 324595217109 414138725277 540992028515 649190434218 690231208795 828277450554 1081984057030 1380462417590 1622976085545 2070693626385 3245952171090 4003341011011 4141387252770 8006682022022 12010023033033 20016705055055 24020046066066 40033410110110 60050115165165 120100230330330