Search a number
-
+
11201312201144 = 2313166770799127
BaseRepresentation
bin1010001100000000001000…
…1111000001100110111000
31110122211112201002002101012
42203000002033001212320
52432010241410414034
635453451202413052
72234160646515542
oct243000217014670
943584481062335
1011201312201144
1136294a47a126a
12130aa80961188
136333825608c0
142aa209a32692
15146589e2dcce
hexa30023c19b8

11201312201144 has 64 divisors (see below), whose sum is σ = 22637279347200. Its totient is φ = 5165439237504.

The previous prime is 11201312201071. The next prime is 11201312201147. The reversal of 11201312201144 is 44110221310211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201312201147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227267509 + ... + 1227276635.

It is an arithmetic number, because the mean of its divisors is an integer number (353707489800).

Almost surely, 211201312201144 is an apocalyptic number.

It is an amenable number.

11201312201144 is an abundant number, since it is smaller than the sum of its proper divisors (11435967146056).

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

11201312201144 is a wasteful number, since it uses less digits than its factorization.

11201312201144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17892 (or 17888 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 11201312201144 its reverse (44110221310211), we get a palindrome (55311533511355).

The spelling of 11201312201144 in words is "eleven trillion, two hundred one billion, three hundred twelve million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 1667 3334 6668 7079 9127 13336 14158 18254 21671 28316 36508 43342 56632 73016 86684 92027 118651 173368 184054 237302 368108 474604 736216 949208 11800693 15214709 23601386 30429418 47202772 60858836 64610033 94405544 121717672 129220066 153409009 197791217 258440132 306818018 395582434 516880264 613636036 791164868 839930429 1227272072 1582329736 1679860858 3359721716 6719443432 107704925011 215409850022 430819700044 861639400088 1400164025143 2800328050286 5600656100572 11201312201144