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120223222332213 = 372112133714052079
BaseRepresentation
bin11011010101011110100110…
…011101011111101100110101
3120202200020011001222102111010
4123111132212131133230311
5111224214124404112323
61103405441430102433
734215561344536500
oct3325364635375465
9522606131872433
10120223222332213
1135341422880300
1211598095aaaa19
1352110028b1110
142198b99396137
15dd74366a5c93
hex6d57a675fb35

120223222332213 has 144 divisors (see below), whose sum is σ = 226693325725440. Its totient is φ = 56091398711040.

The previous prime is 120223222332211. The next prime is 120223222332293. The reversal of 120223222332213 is 312233222322021.

It is a happy number.

It is not a de Polignac number, because 120223222332213 - 21 = 120223222332211 is a prime.

It is a super-2 number, since 2×1202232223322132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120223222332211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1529508 + ... + 15581586.

Almost surely, 2120223222332213 is an apocalyptic number.

120223222332213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120223222332213 is a deficient number, since it is larger than the sum of its proper divisors (106470103393227).

120223222332213 is a wasteful number, since it uses less digits than its factorization.

120223222332213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14052168 (or 14052150 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 120223222332213 its reverse (312233222322021), we get a palindrome (432456444654234).

The spelling of 120223222332213 in words is "one hundred twenty trillion, two hundred twenty-three billion, two hundred twenty-two million, three hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 7 11 13 21 33 37 39 49 77 91 111 121 143 147 231 259 273 363 407 429 481 539 637 777 847 1001 1221 1443 1573 1617 1813 1911 2541 2849 3003 3367 4477 4719 5291 5439 5929 7007 8547 10101 11011 13431 15873 17787 19943 21021 23569 31339 33033 37037 58201 59829 70707 77077 94017 111111 174603 219373 231231 259259 407407 658119 777777 1222221 2851849 8555547 14052079 42156237 98364553 154572869 182677027 295093659 463718607 519926923 548031081 688551871 1082010083 1278739189 1559780769 1700301559 2009447297 2065655613 3246030249 3639488461 3836217567 5100904677 5719196153 6028341891 6759049999 7574070581 8951174323 10918465383 11902110913 14066131079 17157588459 20277149997 22103920267 22722211743 25476419227 26853522969 35706332739 40034373071 42198393237 47313349993 62911157683 66311760801 74349549989 76429257681 83314776391 98462917553 120103119213 141940049979 154727441869 188733473049 223048649967 249944329173 280240611497 295388752659 331193449951 440378103781 464182325607 520446849923 817845049879 840721834491 993580349853 1083092093083 1321134311343 1561340549769 2453535149637 3082646726467 3249276279249 3643127949461 5724915349153 9247940179401 10929383848383 17174746047459 40074407444071 120223222332213