Search a number
-
+
120210213310002 = 23242328115777569
BaseRepresentation
bin11011010101010010011111…
…000100000000111000110010
3120202121222120110012121212200
4123111102133010000320302
5111224011004101410002
61103355450513404030
734214621101634154
oct3325223704007062
9522558513177780
10120210213310002
11353369575a3382
1211595665269616
13520ca0b6a093a
1421982c375cad4
15dd6e24570b1c
hex6d549f100e32

120210213310002 has 24 divisors (see below), whose sum is σ = 260456094004860. Its totient is φ = 40069973898240.

The previous prime is 120210213309931. The next prime is 120210213310009. The reversal of 120210213310002 is 200013312012021.

120210213310002 is a `hidden beast` number, since 120 + 21 + 0 + 213 + 310 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119071722176001 + 1138491134001 = 10911999^2 + 1067001^2 .

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

It is not an unprimeable number, because it can be changed into a prime (120210213310009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269727 + ... + 15507842.

Almost surely, 2120210213310002 is an apocalyptic number.

120210213310002 is an abundant number, since it is smaller than the sum of its proper divisors (140245880694858).

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

120210213310002 is a wasteful number, since it uses less digits than its factorization.

120210213310002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16200858 (or 16200855 counting only the distinct ones).

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

Adding to 120210213310002 its reverse (200013312012021), we get a palindrome (320223525322023).

The spelling of 120210213310002 in words is "one hundred twenty trillion, two hundred ten billion, two hundred thirteen million, three hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 423281 846562 1269843 2539686 3809529 7619058 15777569 31555138 47332707 94665414 141998121 283996242 6678345183889 13356690367778 20035035551667 40070071103334 60105106655001 120210213310002