Search a number
-
+
231222011310000 = 2432542569133459
BaseRepresentation
bin110100100100101110010001…
…110110010010111110110000
31010022200121102112012022220200
4310210232101312102332300
5220301320134343410000
62135433531532035200
766463144663532364
oct6444562166227660
91108617375168820
10231222011310000
1167746782491487
1221b2445b902b00
139c031b02979c9
1441152c29812a4
151bae936168500
hexd24b91d92fb0

231222011310000 has 150 divisors (see below), whose sum is σ = 808616772600780. Its totient is φ = 61659202992000.

The previous prime is 231222011309999. The next prime is 231222011310041. The reversal of 231222011310000 is 13110222132.

231222011310000 is a `hidden beast` number, since 2 + 312 + 220 + 1 + 131 + 0 + 0 + 0 + 0 = 666.

231222011310000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×2312220113100002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1284476730 + ... + 1284656729.

Almost surely, 2231222011310000 is an apocalyptic number.

231222011310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231222011310000 is an abundant number, since it is smaller than the sum of its proper divisors (577394761290780).

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

231222011310000 is a wasteful number, since it uses less digits than its factorization.

231222011310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569133493 (or 2569133469 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 231222011310000 its reverse (13110222132), we get a palindrome (231235121532132).

The spelling of 231222011310000 in words is "two hundred thirty-one trillion, two hundred twenty-two billion, eleven million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 2569133459 5138266918 7707400377 10276533836 12845667295 15414800754 20553067672 23122201131 25691334590 30829601508 38537001885 41106135344 46244402262 51382669180 61659203016 64228336475 77074003770 92488804524 102765338360 115611005655 123318406032 128456672950 154148007540 184977609048 192685009425 205530676720 231222011310 256913345900 308296015080 321141682375 369955218096 385370018850 462444022620 513826691800 578055028275 616592030160 642283364750 770740037700 924888045240 963425047125 1027653383600 1156110056550 1284566729500 1541480075400 1605708411875 1849776090480 1926850094250 2312220113100 2569133459000 2890275141375 3082960150800 3211416823750 3853700188500 4624440226200 4817125235625 5138266918000 5780550282750 6422833647500 7707400377000 9248880452400 9634250471250 11561100565500 12845667295000 14451375706875 15414800754000 19268500942500 23122201131000 25691334590000 28902751413750 38537001885000 46244402262000 57805502827500 77074003770000 115611005655000 231222011310000