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22022001101120 = 265268735397237
BaseRepresentation
bin1010000000111011001011…
…00011011000100101000000
32212222021122010021002112212
411000131211203120211000
510341302024240213440
6114500433451041252
74432015500552626
oct500354543304500
985867563232485
1022022001101120
117020529566819
122578017740228
13c39886994327
14561c28a97516
15282c9960d465
hex1407658d8940

22022001101120 has 112 divisors (see below), whose sum is σ = 52481480325120. Its totient is φ = 8801817606144.

The previous prime is 22022001101063. The next prime is 22022001101131. The reversal of 22022001101120 is 2110110022022.

It is a junction number, because it is equal to n+sod(n) for n = 22022001101095 and 22022001101104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3042970142 + ... + 3042977378.

It is an arithmetic number, because the mean of its divisors is an integer number (468584645760).

Almost surely, 222022001101120 is an apocalyptic number.

22022001101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022001101120 is an abundant number, since it is smaller than the sum of its proper divisors (30459479224000).

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

22022001101120 is a wasteful number, since it uses less digits than its factorization.

22022001101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13480 (or 13470 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22022001101120 its reverse (2110110022022), we get a palindrome (24132111123142).

The spelling of 22022001101120 in words is "twenty-two trillion, twenty-two billion, one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2687 3539 5374 7078 7237 10748 13435 14156 14474 17695 21496 26870 28312 28948 35390 36185 42992 53740 56624 57896 70780 72370 85984 107480 113248 115792 141560 144740 171968 214960 226496 231584 283120 289480 429920 463168 566240 578960 859840 1132480 1157920 2315840 9509293 19018586 19445819 25611743 38037172 38891638 47546465 51223486 76074344 77783276 95092930 97229095 102446972 128058715 152148688 155566552 190185860 194458190 204893944 256117430 304297376 311133104 380371720 388916380 409787888 512234860 608594752 622266208 760743440 777832760 819575776 1024469720 1244532416 1521486880 1555665520 1639151552 2048939440 3042973760 3111331040 4097878880 6222662080 8195757760 68818753441 137637506882 275275013764 344093767205 550550027528 688187534410 1101100055056 1376375068820 2202200110112 2752750137640 4404400220224 5505500275280 11011000550560 22022001101120