Search a number
-
+
122020300201302 = 23359102137511167
BaseRepresentation
bin11011101111101000010000…
…101001100001110101010110
3121000001000201112000221221000
4123233220100221201311112
5111443140033322420202
61111303204013404130
734462450534434456
oct3357502051416526
9530030645027830
10122020300201302
1135974578445768
1211828427799646
135311607607279
14221bb57a2bd66
15e190648ec91c
hex6efa10a61d56

122020300201302 has 64 divisors (see below), whose sum is σ = 276022178611200. Its totient is φ = 39944890450080.

The previous prime is 122020300201279. The next prime is 122020300201321. The reversal of 122020300201302 is 203102003020221.

122020300201302 is a `hidden beast` number, since 1 + 2 + 20 + 20 + 300 + 20 + 1 + 302 = 666.

It is a super-2 number, since 2×1220203002013022 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 15502678 + ... + 22008489.

It is an arithmetic number, because the mean of its divisors is an integer number (4312846540800).

Almost surely, 2122020300201302 is an apocalyptic number.

122020300201302 is an abundant number, since it is smaller than the sum of its proper divisors (154001878409898).

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

122020300201302 is a wasteful number, since it uses less digits than its factorization.

122020300201302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37512258 (or 37512252 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122020300201302 its reverse (203102003020221), we get a palindrome (325122303221523).

The spelling of 122020300201302 in words is "one hundred twenty-two trillion, twenty billion, three hundred million, two hundred one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1021 1062 1593 2042 3063 3186 6126 9189 18378 27567 55134 60239 120478 180717 361434 542151 1084302 1626453 3252906 37511167 75022334 112533501 225067002 337600503 675201006 1012801509 2025603018 2213158853 4426317706 6639476559 13278953118 19918429677 38298901507 39836859354 59755289031 76597803014 114896704521 119510578062 229793409042 344690113563 689380227126 1034070340689 2068140681378 2259635188913 4519270377826 6778905566739 13557811133478 20336716700217 40673433400434 61010150100651 122020300201302