Search a number
-
+
103330302013110 = 23531537867266477
BaseRepresentation
bin10111011111101001110101…
…111100100010111010110110
3111112212021120102002120221210
4113133221311330202322312
5102020430424303404420
61003433141352422250
730523240132163364
oct2737516574427266
9445767512076853
10103330302013110
112aa19153742097
12b70a1310a7986
13458700c5c0a03
141b732db430634
15be2cd1aa69e0
hex5dfa75f22eb6

103330302013110 has 128 divisors (see below), whose sum is σ = 260856670040064. Its totient is φ = 26159330695680.

The previous prime is 103330302013093. The next prime is 103330302013153. The reversal of 103330302013110 is 11310203033301.

It is a super-2 number, since 2×1033303020131102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 387631192 + ... + 387897668.

It is an arithmetic number, because the mean of its divisors is an integer number (2037942734688).

Almost surely, 2103330302013110 is an apocalyptic number.

103330302013110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103330302013110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130428335020032).

103330302013110 is an abundant number, since it is smaller than the sum of its proper divisors (157526368026954).

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

103330302013110 is a wasteful number, since it uses less digits than its factorization.

103330302013110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274438.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103330302013110 its reverse (11310203033301), we get a palindrome (114640505046411).

The spelling of 103330302013110 in words is "one hundred three trillion, three hundred thirty billion, three hundred two million, thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 53 62 93 106 155 159 186 265 310 318 465 530 795 930 1590 1643 3286 4929 7867 8215 9858 15734 16430 23601 24645 39335 47202 49290 78670 118005 236010 243877 266477 416951 487754 532954 731631 799431 833902 1219385 1250853 1332385 1463262 1598862 2084755 2438770 2501706 2664770 3658155 3997155 4169510 6254265 7316310 7994310 8260787 12508530 12925481 14123281 16521574 24782361 25850962 28246562 38776443 41303935 42369843 49564722 64627405 70616405 77552886 82607870 84739686 123911805 129254810 141232810 193882215 211849215 247823610 387764430 423698430 437821711 875643422 1313465133 2096374559 2189108555 2626930266 4192749118 4378217110 6289123677 6567325665 10481872795 12578247354 13134651330 20963745590 31445618385 62891236770 64987611329 111107851627 129975222658 194962833987 222215703254 324938056645 333323554881 389925667974 555539258135 649876113290 666647109762 974814169935 1111078516270 1666617774405 1949628339870 3333235548810 3444343400437 6888686800874 10333030201311 17221717002185 20666060402622 34443434004370 51665151006555 103330302013110