Search a number
-
+
11323210031120 = 2451343253202371
BaseRepresentation
bin1010010011000110001111…
…1010010110000000010000
31111002111011222100110011202
42210301203322112000100
52441004413231443440
640025451052130332
72246034462132131
oct244614372260020
944074158313152
1011323210031120
11367616795a109
12132a6201669a8
13641a0a99bb90
142b2091039c88
15149821814615
hexa4c63e96010

11323210031120 has 80 divisors (see below), whose sum is σ = 29010914974272. Its totient is φ = 4083647823360.

The previous prime is 11323210031113. The next prime is 11323210031141. The reversal of 11323210031120 is 2113001232311.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 11323210031092 and 11323210031101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126556466 + ... + 126645905.

Almost surely, 211323210031120 is an apocalyptic number.

11323210031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11323210031120 is an abundant number, since it is smaller than the sum of its proper divisors (17687704943152).

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

11323210031120 is a wasteful number, since it uses less digits than its factorization.

11323210031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253202440 (or 253202434 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11323210031120 its reverse (2113001232311), we get a palindrome (13436211263431).

The spelling of 11323210031120 in words is "eleven trillion, three hundred twenty-three billion, two hundred ten million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 344 430 520 559 688 860 1040 1118 1720 2236 2795 3440 4472 5590 8944 11180 22360 44720 253202371 506404742 1012809484 1266011855 2025618968 2532023710 3291630823 4051237936 5064047420 6583261646 10128094840 10887701953 13166523292 16458154115 20256189680 21775403906 26333046584 32916308230 43550807812 52666093168 54438509765 65832616460 87101615624 108877019530 131665232920 141540125389 174203231248 217754039060 263330465840 283080250778 435508078120 566160501556 707700626945 871016156240 1132321003112 1415401253890 2264642006224 2830802507780 5661605015560 11323210031120