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103212311042214 = 232112412677431759
BaseRepresentation
bin10111011101111011111101…
…001000101101100010100110
3111112110000000102021020021200
4113131323331020231202212
5102012012303111322324
61003303025304423330
730511562166366603
oct2735737510554246
9445400012236250
10103212311042214
112a983105931300
12b6ab2a2177b46
134578b576c267a
141b6b706c536aa
15bdebc8198ec9
hex5ddefd22d8a6

103212311042214 has 144 divisors (see below), whose sum is σ = 251894402061120. Its totient is φ = 30502148371200.

The previous prime is 103212311042209. The next prime is 103212311042231. The reversal of 103212311042214 is 412240113212301.

103212311042214 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 231 + 1 + 0 + 422 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238834867 + ... + 239266625.

It is an arithmetic number, because the mean of its divisors is an integer number (1749266680980).

Almost surely, 2103212311042214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103212311042214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125947201030560).

103212311042214 is an abundant number, since it is smaller than the sum of its proper divisors (148682091018906).

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

103212311042214 is a wasteful number, since it uses less digits than its factorization.

103212311042214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434507 (or 434493 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 103212311042214 its reverse (412240113212301), we get a palindrome (515452424254515).

The spelling of 103212311042214 in words is "one hundred three trillion, two hundred twelve billion, three hundred eleven million, forty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 121 123 198 242 246 363 369 451 726 738 902 1089 1353 2178 2677 2706 4059 4961 5354 8031 8118 9922 14883 16062 24093 29447 29766 44649 48186 58894 88341 89298 109757 176682 219514 265023 323917 329271 431759 530046 647834 658542 863518 971751 987813 1207327 1295277 1943502 1975626 2414654 2590554 2915253 3621981 3885831 4749349 5830506 7243962 7771662 9498698 10865943 13280597 14248047 17702119 21731886 26561194 28496094 35404238 39841791 42744141 52242839 53106357 79683582 85488282 104485678 106212714 119525373 156728517 159319071 194723309 239050746 313457034 318638142 389446618 470185551 584169927 940371102 1155818843 1168339854 1752509781 2141956399 2311637686 3467456529 3505019562 4283912798 6425869197 6934913058 10402369587 12714007273 12851738394 19277607591 20804739174 25428014546 38142021819 38555215182 47388572563 76284043638 94777145126 114426065457 139854080003 142165717689 228852130914 279708160006 284331435378 419562240009 426497153067 521274298193 839124480018 852994306134 1042548596386 1258686720027 1563822894579 2517373440054 3127645789158 4691468683737 5734017280123 9382937367474 11468034560246 17202051840369 34404103680738 51606155521107 103212311042214