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1130311311000 = 233531919830023
BaseRepresentation
bin10000011100101011110…
…011011101111010011000
311000001112100010220111220
4100130223303131322120
5122004334143423000
62223131410052040
7144443111422434
oct20345363357230
94001470126456
101130311311000
113a63a92a4643
1216308ab7a020
13827847cb661
143c9c8dcb9c4
151e606ac01a0
hex1072bcdde98

1130311311000 has 128 divisors (see below), whose sum is σ = 3712180492800. Its totient is φ = 285552316800.

The previous prime is 1130311310993. The next prime is 1130311311007. The reversal of 1130311311000 is 1131130311.

It is an interprime number because it is at equal distance from previous prime (1130311310993) and next prime (1130311311007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130311311007) 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, 9858012 + ... + 9972011.

It is an arithmetic number, because the mean of its divisors is an integer number (29001410100).

Almost surely, 21130311311000 is an apocalyptic number.

1130311311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130311311000 is an abundant number, since it is smaller than the sum of its proper divisors (2581869181800).

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

1130311311000 is a wasteful number, since it uses less digits than its factorization.

1130311311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19830066 (or 19830052 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1130311311000 its reverse (1131130311), we get a palindrome (1131442441311).

The spelling of 1130311311000 in words is "one trillion, one hundred thirty billion, three hundred eleven million, three hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 19830023 39660046 59490069 79320092 99150115 118980138 158640184 198300230 237960276 297450345 376770437 396600460 475920552 495750575 594900690 753540874 793200920 991501150 1130311311 1189801380 1487251725 1507081748 1883852185 1983002300 2260622622 2379602760 2478752875 2974503450 3014163496 3767704370 3966004600 4521245244 4957505750 5651556555 5949006900 7436258625 7535408740 9042490488 9419260925 9915011500 11303113110 11898013800 14872517250 15070817480 18838521850 19830023000 22606226220 28257782775 29745034500 37677043700 45212452440 47096304625 56515565550 59490069000 75354087400 94192609250 113031131100 141288913875 188385218500 226062262200 282577827750 376770437000 565155655500 1130311311000