Search a number
-
+
102120131200302 = 23223337616474103
BaseRepresentation
bin10111001110000010110010…
…001001010000010100101110
3111101120120220112012122201200
4113032002302021100110232
5101341114012041402202
61001105201324150330
730336636023043015
oct2716026211202456
9441516815178650
10102120131200302
112a5a19a4883886
12b5536953983a6
1344c9b6bb10597
141b308d81dba7c
15bc15a401be1c
hex5ce0b225052e

102120131200302 has 48 divisors (see below), whose sum is σ = 222269016217248. Its totient is φ = 33884931939840.

The previous prime is 102120131200249. The next prime is 102120131200393. The reversal of 102120131200302 is 203002131021201.

102120131200302 is a `hidden beast` number, since 1 + 0 + 212 + 0 + 131 + 20 + 0 + 302 = 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 23 ways as a sum of consecutive naturals, for example, 12536583 + ... + 19010685.

It is an arithmetic number, because the mean of its divisors is an integer number (4630604504526).

Almost surely, 2102120131200302 is an apocalyptic number.

102120131200302 is an abundant number, since it is smaller than the sum of its proper divisors (120148885016946).

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

102120131200302 is a wasteful number, since it uses less digits than its factorization.

102120131200302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478105 (or 6478102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102120131200302 its reverse (203002131021201), we get a palindrome (305122262221503).

The spelling of 102120131200302 in words is "one hundred two trillion, one hundred twenty billion, one hundred thirty-one million, two hundred thousand, three hundred two".

Divisors: 1 2 3 6 9 18 233 466 699 1398 2097 3761 4194 7522 11283 22566 33849 67698 876313 1752626 2628939 5257878 6474103 7886817 12948206 15773634 19422309 38844618 58266927 116533854 1508465999 3016931998 4525397997 9050795994 13576193991 24349101383 27152387982 48698202766 73047304149 146094608298 219141912447 438283824894 5673340622239 11346681244478 17020021866717 34040043733434 51060065600151 102120131200302