Search a number
-
+
11331131331020 = 2254723368997499
BaseRepresentation
bin1010010011100011110000…
…0011101101000111001100
31111010020122000200011211112
42210320330003231013030
52441122124110043040
640033241101111152
72246434666102004
oct244707403550714
944106560604745
1011331131331020
113679562263a56
121330070b584b8
136426a0b18497
142b2603099004
15149b36e66365
hexa4e3c0ed1cc

11331131331020 has 96 divisors (see below), whose sum is σ = 24412752000000. Its totient is φ = 4415749512704.

The previous prime is 11331131330951. The next prime is 11331131331029. The reversal of 11331131331020 is 2013313113311.

It is not an unprimeable number, because it can be changed into a prime (11331131331029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1511015231 + ... + 1511022729.

It is an arithmetic number, because the mean of its divisors is an integer number (254299500000).

Almost surely, 211331131331020 is an apocalyptic number.

11331131331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331131331020 is an abundant number, since it is smaller than the sum of its proper divisors (13081620668980).

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

11331131331020 is a wasteful number, since it uses less digits than its factorization.

11331131331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14687 (or 14685 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 11331131331020 its reverse (2013313113311), we get a palindrome (13344444444331).

The spelling of 11331131331020 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 188 233 235 466 470 932 940 1165 2330 4660 6899 7499 10951 13798 14998 21902 27596 29996 34495 37495 43804 54755 68990 74990 109510 137980 149980 219020 324253 352453 648506 704906 1297012 1409812 1607467 1621265 1747267 1762265 3214934 3242530 3494534 3524530 6429868 6485060 6989068 7049060 8037335 8736335 16074670 17472670 32149340 34945340 51735601 75550949 82121549 103471202 151101898 164243098 206942404 258678005 302203796 328486196 377754745 410607745 517356010 755509490 821215490 1034712020 1511018980 1642430980 2431573247 4863146494 9726292988 12054395033 12157866235 24108790066 24315732470 48217580132 48631464940 60271975165 120543950330 241087900660 566556566551 1133113133102 2266226266204 2832782832755 5665565665510 11331131331020