Search a number
-
+
10330403312224 = 251734019558209
BaseRepresentation
bin1001011001010011110000…
…0001010001001001100000
31100120120120120100120022101
42112110330001101021200
52323223131221442344
633545415522420144
72114230011224122
oct226247401211140
940516516316271
1010330403312224
1133231103a1836
1211aa127201654
1359c1caa802b8
14279dcc0a3212
1512dab68459d4
hex9653c051260

10330403312224 has 48 divisors (see below), whose sum is σ = 21535004962800. Its totient is φ = 4861214654464.

The previous prime is 10330403312179. The next prime is 10330403312227. The reversal of 10330403312224 is 42221330403301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10330403312192 and 10330403312201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330403312227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18227232 + ... + 18785440.

It is an arithmetic number, because the mean of its divisors is an integer number (448645936725).

Almost surely, 210330403312224 is an apocalyptic number.

It is an amenable number.

10330403312224 is an abundant number, since it is smaller than the sum of its proper divisors (11204601650576).

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

10330403312224 is a wasteful number, since it uses less digits than its factorization.

10330403312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592255 (or 592247 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10330403312224 its reverse (42221330403301), we get a palindrome (52551733715525).

The spelling of 10330403312224 in words is "ten trillion, three hundred thirty billion, four hundred three million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 34019 68038 136076 272152 544304 558209 578323 1088608 1116418 1156646 2232836 2313292 4465672 4626584 8931344 9253168 9489553 17862688 18506336 18979106 37958212 75916424 151832848 303665696 18989711971 37979423942 75958847884 151917695768 303835391536 322825103507 607670783072 645650207014 1291300414028 2582600828056 5165201656112 10330403312224