Search a number
-
+
11302145520 = 2435131359483
BaseRepresentation
bin10101000011010100…
…10000110111110000
31002011122222110222020
422201222100313300
5141121322124040
65105300111440
7550035436401
oct124152206760
932148873866
1011302145520
11487a848236
122235095580
1310b16c6b93
147930819a8
15462373cd0
hex2a1a90df0

11302145520 has 80 divisors (see below), whose sum is σ = 35304204672. Its totient is φ = 2990890240.

The previous prime is 11302145501. The next prime is 11302145527. The reversal of 11302145520 is 2554120311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11302145527) 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, 148302 + ... + 211181.

Almost surely, 211302145520 is an apocalyptic number.

11302145520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11302145520 is an abundant number, since it is smaller than the sum of its proper divisors (24002059152).

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

11302145520 is a wasteful number, since it uses less digits than its factorization.

11302145520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359630 (or 359624 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11302145520 its reverse (2554120311), we get a palindrome (13856265831).

The spelling of 11302145520 in words is "eleven billion, three hundred two million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 359483 718966 1078449 1437932 1797415 2156898 2875864 3594830 4313796 5392245 5751728 7189660 8627592 10784490 14379320 17255184 21568980 28758640 43137960 47092273 86275920 94184546 141276819 188369092 235461365 282553638 376738184 470922730 565107276 706384095 753476368 941845460 1130214552 1412768190 1883690920 2260429104 2825536380 3767381840 5651072760 11302145520