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22000220101120 = 29561140882557
BaseRepresentation
bin1010000000010010100110…
…10011011101101000000000
32212220012102011110122121011
411000021103103131220000
510340422422321213440
6114442432300410304
74430314651244122
oct500112323355000
985805364418534
1022000220101120
117012271780078
122573959246994
13c377c531c851
14560b60043212
1528242233d9ea
hex1402534dda00

22000220101120 has 80 divisors (see below), whose sum is σ = 53613702742248. Its totient is φ = 8655824240640.

The previous prime is 22000220101117. The next prime is 22000220101133. The reversal of 22000220101120 is 2110102200022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14731717828864 + 7268502272256 = 3838192^2 + 2696016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 22000220101120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70285119 + ... + 70597438.

Almost surely, 222000220101120 is an apocalyptic number.

22000220101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000220101120 is an abundant number, since it is smaller than the sum of its proper divisors (31613482641128).

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

22000220101120 is an equidigital number, since it uses as much as digits as its factorization.

22000220101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140882641 (or 140882625 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22000220101120 its reverse (2110102200022), we get a palindrome (24110322301142).

The spelling of 22000220101120 in words is "twenty-two trillion, two hundred twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 640 976 1220 1280 1952 2440 2560 3904 4880 7808 9760 15616 19520 31232 39040 78080 156160 140882557 281765114 563530228 704412785 1127060456 1408825570 2254120912 2817651140 4508241824 5635302280 8593835977 9016483648 11270604560 17187671954 18032967296 22541209120 34375343908 36065934592 42969179885 45082418240 68750687816 72131869184 85938359770 90164836480 137501375632 171876719540 180329672960 275002751264 343753439080 360659345920 550005502528 687506878160 1100011005056 1375013756320 2200022010112 2750027512640 4400044020224 5500055025280 11000110050560 22000220101120