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2220122220102 = 2323726312674969
BaseRepresentation
bin100000010011101001100…
…110001010011001000110
321212020112010122020011200
4200103221212022121012
5242333302242020402
64415524324043330
7316253461334553
oct40235146123106
97766463566150
102220122220102
11786604129856
122ba336533546
13131483681757
147965118da2a
153cb3ccb121c
hex204e998a646

2220122220102 has 48 divisors (see below), whose sum is σ = 4959056662560. Its totient is φ = 717301789056.

The previous prime is 2220122220101. The next prime is 2220122220103. The reversal of 2220122220102 is 2010222210222.

2220122220102 is a `hidden beast` number, since 2 + 220 + 122 + 220 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (2220122220101) and next prime (2220122220103).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220122220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6162327 + ... + 6512642.

It is an arithmetic number, because the mean of its divisors is an integer number (103313680470).

Almost surely, 22220122220102 is an apocalyptic number.

2220122220102 is an abundant number, since it is smaller than the sum of its proper divisors (2738934442458).

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

2220122220102 is a wasteful number, since it uses less digits than its factorization.

2220122220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12675277 (or 12675274 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2220122220102 its reverse (2010222210222), we get a palindrome (4230344430324).

The spelling of 2220122220102 in words is "two trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 263 333 526 666 789 1578 2367 4734 9731 19462 29193 58386 87579 175158 12674969 25349938 38024907 76049814 114074721 228149442 468973853 937947706 1406921559 2813843118 3333516847 4220764677 6667033694 8441529354 10000550541 20001101082 30001651623 60003303246 123340123339 246680246678 370020370017 740040740034 1110061110051 2220122220102