Search a number
-
+
120022221210102 = 233194723767104723
BaseRepresentation
bin11011010010100011011001…
…110111000100000111110110
3120201222000022221220110122000
4123102203121313010013312
5111212421002112210402
61103133240334320130
734165214346306231
oct3322433167040766
9521860287813560
10120022221210102
113527415799a262
121156513b059046
1351c807c0510c3
14218d16c354418
15dd20c03ccc1c
hex6d28d9dc41f6

120022221210102 has 128 divisors (see below), whose sum is σ = 286742019686400. Its totient is φ = 37093418767008.

The previous prime is 120022221210097. The next prime is 120022221210113. The reversal of 120022221210102 is 201012122220021.

It is a happy number.

120022221210102 is a `hidden beast` number, since 1 + 200 + 22 + 221 + 210 + 10 + 2 = 666.

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

It is a congruent number.

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, 1146039913 + ... + 1146144635.

It is an arithmetic number, because the mean of its divisors is an integer number (2240172028800).

Almost surely, 2120022221210102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120022221210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143371009843200).

120022221210102 is an abundant number, since it is smaller than the sum of its proper divisors (166719798476298).

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

120022221210102 is a wasteful number, since it uses less digits than its factorization.

120022221210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128567 (or 128561 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120022221210102 its reverse (201012122220021), we get a palindrome (321034343430123).

The spelling of 120022221210102 in words is "one hundred twenty trillion, twenty-two billion, two hundred twenty-one million, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 47 54 57 94 114 141 171 282 342 423 513 846 893 1026 1269 1786 2538 2679 5358 8037 16074 23767 24111 47534 48222 71301 104723 142602 209446 213903 314169 427806 451573 628338 641709 903146 942507 1117049 1283418 1354719 1885014 1989737 2234098 2709438 2827521 3351147 3979474 4064157 4921981 5655042 5969211 6702294 8128314 9843962 10053441 11938422 12192471 14765943 17907633 20106882 21223931 24384942 29531886 30160323 35815266 42447862 44297829 53722899 60320646 63671793 88595658 93517639 107445798 127343586 132893487 187035278 191015379 265786974 280552917 382030758 561105834 573046137 841658751 1146092274 1683317502 2488951541 2524976253 4977903082 5049952506 7466854623 14933709246 22400563869 44801127738 47290079279 67201691607 94580158558 116980722427 134403383214 141870237837 233961444854 283740475674 350942167281 425610713511 701884334562 851221427022 1052826501843 1276832140533 2105653003686 2222633726113 2553664281066 3158479505529 4445267452226 6316959011058 6667901178339 13335802356678 20003703535017 40007407070034 60011110605051 120022221210102