Search a number
-
+
3334113221010 = 23511134191854851
BaseRepresentation
bin110000100001001000101…
…000100101100110010010
3102210201221002020111001020
4300201020220211212102
5414111230441033020
611031400453220310
7462611301530325
oct60411050454622
912721832214036
103334113221010
111075a97aa1910
1245a20b931696
131b2536c37790
14b752c86a7bc
155badbbb8c40
hex30848a25992

3334113221010 has 128 divisors (see below), whose sum is σ = 9423241712640. Its totient is φ = 744314208000.

The previous prime is 3334113220987. The next prime is 3334113221027. The reversal of 3334113221010 is 101223114333.

It is a super-2 number, since 2×33341132210102 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 870085 + ... + 2724935.

It is an arithmetic number, because the mean of its divisors is an integer number (73619075880).

Almost surely, 23334113221010 is an apocalyptic number.

3334113221010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334113221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711620856320).

3334113221010 is an abundant number, since it is smaller than the sum of its proper divisors (6089128491630).

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

3334113221010 is a wasteful number, since it uses less digits than its factorization.

3334113221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855304.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3334113221010 its reverse (101223114333), we get a palindrome (3435336335343).

The spelling of 3334113221010 in words is "three trillion, three hundred thirty-four billion, one hundred thirteen million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 419 429 715 838 858 1257 1430 2095 2145 2514 4190 4290 4609 5447 6285 9218 10894 12570 13827 16341 23045 27235 27654 32682 46090 54470 59917 69135 81705 119834 138270 163410 179751 299585 359502 599170 898755 1797510 1854851 3709702 5564553 9274255 11129106 18548510 20403361 24113063 27822765 40806722 48226126 55645530 61210083 72339189 102016805 120565315 122420166 144678378 204033610 241130630 265243693 306050415 361695945 530487386 612100830 723391890 777182569 795731079 1326218465 1554365138 1591462158 2331547707 2652436930 3885912845 3978655395 4663095414 7771825690 7957310790 8549008259 10103373397 11657738535 17098016518 20206746794 23315477070 25647024777 30310120191 42745041295 50516866985 51294049554 60620240382 85490082590 101033733970 111137107367 128235123885 151550600955 222274214734 256470247770 303101201910 333411322101 555685536835 666822644202 1111371073670 1667056610505 3334113221010