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221302222203122 = 253101197274138281
BaseRepresentation
bin110010010100010111110000…
…010101111010100011110010
31002000120021201100220122001122
4302110113300111322203302
5213001303422340444442
62102400500512502242
764420362240413324
oct6224276025724362
91060507640818048
10221302222203122
1164571822107685
12209a1a2a54a982
13966392cb73828
143c91128607614
151a8b8a2ea0dd2
hexc945f057a8f2

221302222203122 has 64 divisors (see below), whose sum is σ = 343433333995488. Its totient is φ = 106901034240000.

The previous prime is 221302222203119. The next prime is 221302222203163.

221302222203122 is nontrivially palindromic in base 10.

221302222203122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 208430982505321 + 12871239697801 = 14437139^2 + 3587651^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221302222203091 and 221302222203100.

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, 5780974622 + ... + 5781012902.

Almost surely, 2221302222203122 is an apocalyptic number.

221302222203122 is a deficient number, since it is larger than the sum of its proper divisors (122131111792366).

221302222203122 is a wasteful number, since it uses less digits than its factorization.

221302222203122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41375.

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 221302222203122 in words is "two hundred twenty-one trillion, three hundred two billion, two hundred twenty-two million, two hundred three thousand, one hundred twenty-two".

Divisors: 1 2 53 101 106 197 202 394 2741 5353 5482 10441 10706 19897 20882 38281 39794 76562 145273 276841 290546 539977 553682 1054541 1079954 2028893 2109082 3866381 4057786 7541357 7732762 14672573 15082714 28618781 29345146 54537677 57237562 104928221 109075354 204918193 209856442 399691921 409836386 761677057 799383842 1523354114 2890496881 5561195713 5780993762 10597750321 11122391426 20670859537 21195500642 40368884021 41341719074 80737768042 561680767013 1095555555461 1123361534026 2087756813237 2191111110922 4175513626474 110651111101561 221302222203122