Search a number
-
+
103334041140 = 223511247302837
BaseRepresentation
bin110000000111100110…
…0000101011000110100
3100212201112020011212220
41200033030011120310
53143112003304030
6115245423042340
710315466600031
oct1401714053064
9325645204786
10103334041140
113a907410600
121803a4403b0
13998a480255
145003b7c388
152a4bcb3a10
hex180f305634

103334041140 has 144 divisors (see below), whose sum is σ = 324797389056. Its totient is φ = 24517602560.

The previous prime is 103334041127. The next prime is 103334041163. The reversal of 103334041140 is 41140433301.

It is a self number, because there is not a number n which added to its sum of digits gives 103334041140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189802 + ... + 492638.

It is an arithmetic number, because the mean of its divisors is an integer number (2255537424).

Almost surely, 2103334041140 is an apocalyptic number.

103334041140 is a gapful number since it is divisible by the number (10) 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 103334041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162398694528).

103334041140 is an abundant number, since it is smaller than the sum of its proper divisors (221463347916).

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

103334041140 is a wasteful number, since it uses less digits than its factorization.

103334041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302918 (or 302905 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103334041140 its reverse (41140433301), we get a palindrome (144474474441).

The spelling of 103334041140 in words is "one hundred three billion, three hundred thirty-four million, forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 121 132 141 165 188 220 235 242 282 330 363 470 484 517 564 605 660 705 726 940 1034 1210 1410 1452 1551 1815 2068 2420 2585 2820 3102 3630 5170 5687 6204 7260 7755 10340 11374 15510 17061 22748 28435 31020 34122 56870 68244 85305 113740 170610 302837 341220 605674 908511 1211348 1514185 1817022 3028370 3331207 3634044 4542555 6056740 6662414 9085110 9993621 13324828 14233339 16656035 18170220 19987242 28466678 33312070 36643277 39974484 42700017 49968105 56933356 66624140 71166695 73286554 85400034 99936210 109929831 142333390 146573108 156566729 170800068 183216385 199872420 213500085 219859662 284666780 313133458 366432770 427000170 439719324 469700187 549649155 626266916 732865540 782833645 854000340 939400374 1099298310 1565667290 1722234019 1878800748 2198596620 2348500935 3131334580 3444468038 4697001870 5166702057 6888936076 8611170095 9394003740 10333404114 17222340190 20666808228 25833510285 34444680380 51667020570 103334041140