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2223303220131 = 372371223307947
BaseRepresentation
bin100000010110100111001…
…100101101101110100011
321212112201211020202212120
4200112213030231232203
5242411311111021011
64421212115555323
7316425345362250
oct40264714555643
97775654222776
102223303220131
117879967851a4
122baa838bbb43
1313186c6ca0a6
1479873830427
153cc771a9a06
hex205a732dba3

2223303220131 has 128 divisors (see below), whose sum is σ = 3616602587136. Its totient is φ = 1187592658560.

The previous prime is 2223303220121. The next prime is 2223303220147. The reversal of 2223303220131 is 1310223033222.

2223303220131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2223303220131 - 26 = 2223303220067 is a prime.

It is a super-2 number, since 2×22233032201312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2223303220121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2347732600 + ... + 2347733546.

It is an arithmetic number, because the mean of its divisors is an integer number (28254707712).

Almost surely, 22223303220131 is an apocalyptic number.

2223303220131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2223303220131 is a deficient number, since it is larger than the sum of its proper divisors (1393299367005).

2223303220131 is a wasteful number, since it uses less digits than its factorization.

2223303220131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2223303220131 its reverse (1310223033222), we get a palindrome (3533526253353).

The spelling of 2223303220131 in words is "two trillion, two hundred twenty-three billion, three hundred three million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 7 21 23 69 71 161 213 223 307 483 497 669 921 947 1491 1561 1633 2149 2841 4683 4899 5129 6447 6629 7061 11431 15387 15833 19887 21183 21781 21797 34293 35903 47499 49427 65343 65391 67237 68461 107709 110831 148281 152467 152579 201711 205383 211181 290729 332493 364159 457401 457737 470659 479227 501331 633543 872187 1092477 1411977 1437681 1478267 1503993 1546451 1574603 2035103 2549113 3509317 4434801 4639353 4723809 4857163 4860731 6105309 6686767 7647339 10527951 10825157 11022221 14571489 14582193 14993851 20060301 20641759 32475471 33066663 34000141 34025117 44981553 46807369 61925277 64832567 102000423 102075351 104956957 111796813 140422107 144492313 194497701 314870871 335390439 344858573 433476939 453827969 474760457 782577691 1034575719 1361483907 1424281371 1491149041 2347733073 2414010011 3323323199 4473447123 4603112257 7242030033 9969969597 10438043287 13809336771 31314129861 32221785799 96665357397 105871581911 317614745733 741101073377 2223303220131