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33020223102 = 23323101461571
BaseRepresentation
bin11110110000001010…
…001001111001111110
310011020020101010121000
4132300022021321332
51020111134114402
623100321551130
72246162160006
oct366012117176
9104206333530
1033020223102
1113005067389
1264964a54a6
13316300a469
1418535d7006
15cd3d64c1c
hex7b0289e7e

33020223102 has 128 divisors (see below), whose sum is σ = 77630192640. Its totient is φ = 10383120000.

The previous prime is 33020223091. The next prime is 33020223169. The reversal of 33020223102 is 20132202033.

It is a happy number.

33020223102 is a `hidden beast` number, since 330 + 2 + 0 + 22 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57828477 + ... + 57829047.

It is an arithmetic number, because the mean of its divisors is an integer number (606485880).

Almost surely, 233020223102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33020223102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38815096320).

33020223102 is an abundant number, since it is smaller than the sum of its proper divisors (44609969538).

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

33020223102 is a wasteful number, since it uses less digits than its factorization.

33020223102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

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

Adding to 33020223102 its reverse (20132202033), we get a palindrome (53152425135).

It can be divided in two parts, 3302022 and 3102, that added together give a square (3305124 = 18182).

The spelling of 33020223102 in words is "thirty-three billion, twenty million, two hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 101 138 202 207 303 414 461 571 606 621 909 922 1142 1242 1383 1713 1818 2323 2727 2766 3426 4149 4646 5139 5454 6969 8298 10278 10603 12447 13133 13938 15417 20907 21206 24894 26266 30834 31809 39399 41814 46561 57671 62721 63618 78798 93122 95427 115342 118197 125442 139683 173013 190854 236394 263231 279366 286281 346026 354591 419049 519039 526462 572562 709182 789693 838098 1038078 1070903 1257147 1326433 1557117 1579386 2141806 2369079 2514294 2652866 3114234 3212709 3979299 4738158 6054313 6425418 7107237 7958598 9638127 11937897 12108626 14214474 18162939 19276254 23875794 26586331 28914381 35813691 36325878 53172662 54488817 57828762 71627382 79758993 108977634 159517986 163466451 239276979 326932902 478553958 611485613 717830937 1222971226 1435661874 1834456839 3668913678 5503370517 11006741034 16510111551 33020223102