Search a number
-
+
122102120220210 = 232513104360786513
BaseRepresentation
bin11011110000110100011101…
…100000001000011000110010
3121000022211220200211120111200
4123300310131200020120302
5112001010120234021320
61111404534544352030
734501405236221604
oct3360643540103062
9530284820746450
10122102120220210
11359a62447399a9
1211840261015616
13531924681b040
142221aba3b1174
15e1b252a7b290
hex6f0d1d808632

122102120220210 has 48 divisors (see below), whose sum is σ = 341885936619864. Its totient is φ = 30055906515456.

The previous prime is 122102120220151. The next prime is 122102120220239. The reversal of 122102120220210 is 12022021201221.

It is a happy number.

122102120220210 is a `hidden beast` number, since 1 + 2 + 21 + 0 + 212 + 0 + 220 + 210 = 666.

122102120220210 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 93987809162361 + 28114311057849 = 9694731^2 + 5302293^2 .

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

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, 52180392087 + ... + 52180394426.

Almost surely, 2122102120220210 is an apocalyptic number.

122102120220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122102120220210 is an abundant number, since it is smaller than the sum of its proper divisors (219783816399654).

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

122102120220210 is a wasteful number, since it uses less digits than its factorization.

122102120220210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104360786539 (or 104360786536 counting only the distinct ones).

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

Adding to 122102120220210 its reverse (12022021201221), we get a palindrome (134124141421431).

The spelling of 122102120220210 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twenty million, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 104360786513 208721573026 313082359539 521803932565 626164719078 939247078617 1043607865130 1356690224669 1565411797695 1878494157234 2713380449338 3130823595390 4070070674007 4696235393085 6783451123345 8140141348014 9392470786170 12210212022021 13566902246690 20350353370035 24420424044042 40700706740070 61051060110105 122102120220210