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3302120140 = 22511831391301
BaseRepresentation
bin1100010011010010…
…0101101011001100
322112010112002020221
43010310211223030
523230320321030
61303355521124
7144554362264
oct30464455314
98463462227
103302120140
111444a62810
12781a591a4
13408175357
142347ac7a4
15144d70e7a
hexc4d25acc

3302120140 has 96 divisors (see below), whose sum is σ = 7717006080. Its totient is φ = 1176864000.

The previous prime is 3302120089. The next prime is 3302120149. The reversal of 3302120140 is 410212033.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3302120149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2537490 + ... + 2538790.

It is an arithmetic number, because the mean of its divisors is an integer number (80385480).

Almost surely, 23302120140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3302120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858503040).

3302120140 is an abundant number, since it is smaller than the sum of its proper divisors (4414885940).

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

3302120140 is a wasteful number, since it uses less digits than its factorization.

3302120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3302120140 is about 57464.0769524753. The cubic root of 3302120140 is about 1489.1243206780.

Adding to 3302120140 its reverse (410212033), we get a palindrome (3712332173).

The spelling of 3302120140 in words is "three billion, three hundred two million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 139 166 220 278 332 415 556 695 830 913 1301 1390 1529 1660 1826 2602 2780 3058 3652 4565 5204 6116 6505 7645 9130 11537 13010 14311 15290 18260 23074 26020 28622 30580 46148 57244 57685 71555 107983 115370 126907 143110 180839 215966 230740 253814 286220 361678 431932 507628 539915 634535 723356 904195 1079830 1187813 1269070 1808390 1989229 2159660 2375626 2538140 3616780 3978458 4751252 5939065 7956916 9946145 11878130 15009637 19892290 23756260 30019274 39784580 60038548 75048185 150096370 165106007 300192740 330212014 660424028 825530035 1651060070 3302120140