Search a number
-
+
2100330333332 = 2271129281836821
BaseRepresentation
bin11110100100000101011…
…100011000010010010100
321102210022122001212100122
4132210011130120102110
5233402434031131312
64244513424131112
7304513100160350
oct36440534302224
97383278055318
102100330333332
1173a821799240
1229b084466a98
131230a263250a
147392973c460
153997b218b72
hex1e905718494

2100330333332 has 96 divisors (see below), whose sum is σ = 4757433488640. Its totient is φ = 787280256000.

The previous prime is 2100330333323. The next prime is 2100330333347. The reversal of 2100330333332 is 2333330330012.

It is a super-2 number, since 2×21003303333322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2091482 + ... + 2928302.

It is an arithmetic number, because the mean of its divisors is an integer number (49556598840).

Almost surely, 22100330333332 is an apocalyptic number.

2100330333332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100330333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378716744320).

2100330333332 is an abundant number, since it is smaller than the sum of its proper divisors (2657103155308).

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

2100330333332 is a wasteful number, since it uses less digits than its factorization.

2100330333332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837153 (or 837151 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 2100330333332 its reverse (2333330330012), we get a palindrome (4433660663344).

The spelling of 2100330333332 in words is "two trillion, one hundred billion, three hundred thirty million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 281 308 319 406 562 638 812 1124 1276 1967 2233 3091 3934 4466 6182 7868 8149 8932 12364 16298 21637 32596 43274 57043 86548 89639 114086 179278 228172 358556 627473 836821 1254946 1673642 2509892 3347284 5857747 9205031 11715494 18410062 23430988 24267809 36820124 48535618 64435217 97071236 128870434 169874663 235146701 257740868 266945899 339749326 470293402 533891798 679498652 940586804 1067783596 1646026907 1868621293 2586613711 3292053814 3737242586 5173227422 6584107628 6819254329 7474485172 10346454844 13638508658 18106295977 27277017316 36212591954 47734780303 72425183908 75011797619 95469560606 150023595238 190939121212 300047190476 525082583333 1050165166666 2100330333332