Search a number
-
+
120210211002222 = 232113988315222583
BaseRepresentation
bin11011010101010010011110…
…111011001101011101101110
3120202121222120021212101012100
4123111102132323031131232
5111224011003004032342
61103355450352115530
734214621043213015
oct3325223673153556
9522558507771170
10120210211002222
1135336956267520
1211595664535ba6
13520ca0b0733a3
1421982c331ba7c
15dd6e24266e4c
hex6d549eecd76e

120210211002222 has 48 divisors (see below), whose sum is σ = 284140368839808. Its totient is φ = 36426420919440.

The previous prime is 120210211002221. The next prime is 120210211002229. The reversal of 120210211002222 is 222200112012021.

It is a happy number.

120210211002222 is a `hidden beast` number, since 1 + 20 + 210 + 211 + 0 + 0 + 2 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120210211002195 and 120210211002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210211002221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285543 + ... + 15508125.

It is an arithmetic number, because the mean of its divisors is an integer number (5919591017496).

Almost surely, 2120210211002222 is an apocalyptic number.

120210211002222 is an abundant number, since it is smaller than the sum of its proper divisors (163930157837586).

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

120210211002222 is a wasteful number, since it uses less digits than its factorization.

120210211002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15262485 (or 15262482 counting only the distinct ones).

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

Adding to 120210211002222 its reverse (222200112012021), we get a palindrome (342410323014243).

The spelling of 120210211002222 in words is "one hundred twenty trillion, two hundred ten billion, two hundred eleven million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 39883 79766 119649 239298 358947 438713 717894 877426 1316139 2632278 3948417 7896834 15222583 30445166 45667749 91335498 137003247 167448413 274006494 334896826 502345239 1004690478 1507035717 3014071434 607122277789 1214244555578 1821366833367 3642733666734 5464100500101 6678345055679 10928201000202 13356690111358 20035035167037 40070070334074 60105105501111 120210211002222