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1020222000333 = 322943106385517
BaseRepresentation
bin11101101100010011111…
…10000100110011001101
310121112101000200110221100
432312021332010303031
5113203403313002313
62100403350053313
7133465023630144
oct16661176046315
93545330613840
101020222000333
113637457a4068
1214588634a239
137528b961503
1437543dda75b
151b811c35173
hexed89f84ccd

1020222000333 has 48 divisors (see below), whose sum is σ = 1561408168320. Its totient is φ = 640811751552.

The previous prime is 1020222000283. The next prime is 1020222000353. The reversal of 1020222000333 is 3330002220201.

It is a happy number.

It is not a de Polignac number, because 1020222000333 - 230 = 1019148258509 is a prime.

It is a super-2 number, since 2×10202220003332 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020222000353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11887291 + ... + 11972807.

It is an arithmetic number, because the mean of its divisors is an integer number (32529336840).

Almost surely, 21020222000333 is an apocalyptic number.

It is an amenable number.

1020222000333 is a deficient number, since it is larger than the sum of its proper divisors (541186167987).

1020222000333 is a wasteful number, since it uses less digits than its factorization.

1020222000333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86658 (or 86655 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1020222000333 its reverse (3330002220201), we get a palindrome (4350224220534).

The spelling of 1020222000333 in words is "one trillion, twenty billion, two hundred twenty-two million, three hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 9 29 43 87 129 261 387 1063 1247 3189 3741 9567 11223 30827 45709 85517 92481 137127 256551 277443 411381 769653 1325561 2479993 3677231 3976683 7439979 11031693 11930049 22319937 33095079 90904571 106639699 272713713 319919097 818141139 959757291 2636232559 3908896553 7908697677 11726689659 23726093031 35180068977 113358000037 340074000111 1020222000333