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120202010213220 = 223251351368380433
BaseRepresentation
bin11011010101001010110110…
…000111101011101101100100
3120202121012101202122010120100
4123111022312013223231210
5111223342204103310340
61103352012520504100
734214210603521125
oct3325126607535544
9522535352563510
10120202010213220
1135333428118351
1211593b5601b030
13520c00205ab10
142197b4610804c
15dd6ae4308830
hex6d52b61ebb64

120202010213220 has 72 divisors (see below), whose sum is σ = 392659900037496. Its totient is φ = 29588187128832.

The previous prime is 120202010213171. The next prime is 120202010213273. The reversal of 120202010213220 is 22312010202021.

120202010213220 is a `hidden beast` number, since 1 + 20 + 202 + 0 + 10 + 213 + 220 = 666.

120202010213220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1014177900096 + 119187832313124 = 1007064^2 + 10917318^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120202010213193 and 120202010213202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25684187877 + ... + 25684192556.

It is an arithmetic number, because the mean of its divisors is an integer number (5453609722743).

Almost surely, 2120202010213220 is an apocalyptic number.

120202010213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120202010213220 is an abundant number, since it is smaller than the sum of its proper divisors (272457889824276).

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

120202010213220 is a wasteful number, since it uses less digits than its factorization.

120202010213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51368380461 (or 51368380456 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120202010213220 its reverse (22312010202021), we get a palindrome (142514020415241).

The spelling of 120202010213220 in words is "one hundred twenty trillion, two hundred two billion, ten million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 51368380433 102736760866 154105141299 205473521732 256841902165 308210282598 462315423897 513683804330 616420565196 667788945629 770525706495 924630847794 1027367608660 1335577891258 1541051412990 1849261695588 2003366836887 2311577119485 2671155782516 3082102825980 3338944728145 4006733673774 4623154238970 6010100510661 6677889456290 8013467347548 9246308477940 10016834184435 12020201021322 13355778912580 20033668368870 24040402042644 30050502553305 40067336737740 60101005106610 120202010213220