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222210021010120 = 2351113182321309877
BaseRepresentation
bin110010100001100101001101…
…010111100010101011001000
31002010210001220102112011021121
4302201211031113202223020
5213111142110334310440
62104333512511445024
764543100320100443
oct6241451527425310
91063701812464247
10222210021010120
1164891816947610
1220b0995a526774
1396cb41328b720
143cc304568465a
151aa52d4ed534a
hexca194d5e2ac8

222210021010120 has 128 divisors (see below), whose sum is σ = 587702568176640. Its totient is φ = 74547060618240.

The previous prime is 222210021010097. The next prime is 222210021010147. The reversal of 222210021010120 is 21010120012222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 222210021010094 and 222210021010103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227379 + ... + 21082498.

It is an arithmetic number, because the mean of its divisors is an integer number (4591426313880).

Almost surely, 2222210021010120 is an apocalyptic number.

222210021010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222210021010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293851284088320).

222210021010120 is an abundant number, since it is smaller than the sum of its proper divisors (365492547166520).

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

222210021010120 is a wasteful number, since it uses less digits than its factorization.

222210021010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21311735 (or 21311731 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222210021010120 its reverse (21010120012222), we get a palindrome (243220141022342).

The spelling of 222210021010120 in words is "two hundred twenty-two trillion, two hundred ten billion, twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 1823 2860 3646 5720 7292 9115 14584 18230 20053 23699 36460 40106 47398 72920 80212 94796 100265 118495 160424 189592 200530 236990 260689 401060 473980 521378 802120 947960 1042756 1303445 2085512 2606890 5213780 10427560 21309877 42619754 85239508 106549385 170479016 213098770 234408647 277028401 426197540 468817294 554056802 852395080 937634588 1108113604 1172043235 1385142005 1875269176 2216227208 2344086470 2770284010 3047312411 4688172940 5540568020 6094624822 9376345880 11081136040 12189249644 15236562055 24378499288 30473124110 38847905771 60946248220 77695811542 121892496440 155391623084 194239528855 310783246168 388479057710 427326963481 505022775023 776958115420 854653926962 1010045550046 1553916230840 1709307853924 2020091100092 2136634817405 2525113875115 3418615707848 4040182200184 4273269634810 5050227750230 5555250525253 8546539269620 10100455500460 11110501050506 17093078539240 20200911000920 22221002101012 27776252626265 44442004202024 55552505252530 111105010505060 222210021010120