Search a number
-
+
230301120120000 = 263541919176001
BaseRepresentation
bin110100010111010100101000…
…011101001100010011000000
31010012102120110000221211120120
4310113110220131030103000
5220141223143222320000
62133450512441540240
766336464306551356
oct6427245035142300
91105376400854516
10230301120120000
116742117a408406
12219b5a971a4680
139b673c1603617
1440c28c2bab7d6
151b959d9a346a0
hexd1752874c4c0

230301120120000 has 140 divisors (see below), whose sum is σ = 761429240441496. Its totient is φ = 61413632000000.

The previous prime is 230301120119989. The next prime is 230301120120089. The reversal of 230301120120000 is 21021103032.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959468001 + ... + 959708000.

Almost surely, 2230301120120000 is an apocalyptic number.

230301120120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230301120120000 is an abundant number, since it is smaller than the sum of its proper divisors (531128120321496).

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

230301120120000 is an equidigital number, since it uses as much as digits as its factorization.

230301120120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919176036 (or 1919176011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230301120120000 its reverse (21021103032), we get a palindrome (230322141223032).

The spelling of 230301120120000 in words is "two hundred thirty trillion, three hundred one billion, one hundred twenty million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 1919176001 3838352002 5757528003 7676704004 9595880005 11515056006 15353408008 19191760010 23030112012 28787640015 30706816016 38383520020 46060224024 47979400025 57575280030 61413632032 76767040040 92120448048 95958800050 115150560060 122827264064 143938200075 153534080080 184240896096 191917600100 230301120120 239897000125 287876400150 307068160160 368481792192 383835200200 460602240240 479794000250 575752800300 614136320320 719691000375 767670400400 921204480480 959588000500 1151505600600 1199485000625 1439382000750 1535340800800 1842408960960 1919176001000 2303011201200 2398970001250 2878764001500 3070681601600 3598455001875 3838352002000 4606022402400 4797940002500 5757528003000 7196910003750 7676704004000 9212044804800 9595880005000 11515056006000 14393820007500 15353408008000 19191760010000 23030112012000 28787640015000 38383520020000 46060224024000 57575280030000 76767040040000 115150560060000 230301120120000