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22002111222120 = 2332561116975617
BaseRepresentation
bin1010000000010110001000…
…00001100001000101101000
32212220101021221221112220200
411000023010001201011220
510340440310433101440
6114443344053552200
74430412553433331
oct500130401410550
985811257845820
1022002111222120
117013052211297
1225741a6645660
13c37a37064b63
14560c9d279288
152824d3395c30
hex1402c4061168

22002111222120 has 48 divisors (see below), whose sum is σ = 71506861473060. Its totient is φ = 5867229659136.

The previous prime is 22002111222097. The next prime is 22002111222127. The reversal of 22002111222120 is 2122211120022.

It is a happy number.

22002111222120 is a `hidden beast` number, since 2 + 200 + 211 + 12 + 221 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21196134613476 + 805976608644 = 4603926^2 + 897762^2 .

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 = 22002111222093 and 22002111222102.

It is not an unprimeable number, because it can be changed into a prime (22002111222127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30558487449 + ... + 30558488168.

Almost surely, 222002111222120 is an apocalyptic number.

22002111222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002111222120 is an abundant number, since it is smaller than the sum of its proper divisors (49504750250940).

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

22002111222120 is a wasteful number, since it uses less digits than its factorization.

22002111222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61116975634 (or 61116975627 counting only the distinct ones).

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

Adding to 22002111222120 its reverse (2122211120022), we get a palindrome (24124322342142).

The spelling of 22002111222120 in words is "twenty-two trillion, two billion, one hundred eleven million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 61116975617 122233951234 183350926851 244467902468 305584878085 366701853702 488935804936 550052780553 611169756170 733403707404 916754634255 1100105561106 1222339512340 1466807414808 1833509268510 2200211122212 2444679024680 2750263902765 3667018537020 4400422244424 5500527805530 7334037074040 11001055611060 22002111222120