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2303332114000 = 245319330718329
BaseRepresentation
bin100001100001001001010…
…010101101111001010000
322011012022011201210210211
4201201021102231321100
5300214211010122000
64522045224533504
7325260500634451
oct41411122557120
98135264653724
102303332114000
11808923a26705
12312499321294
1313928480a568
147d6a636b128
153edace847ba
hex218494ade50

2303332114000 has 160 divisors (see below), whose sum is σ = 5864679100800. Its totient is φ = 872530099200.

The previous prime is 2303332113941. The next prime is 2303332114021. The reversal of 2303332114000 is 4112333032.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 125656836 + ... + 125675164.

It is an arithmetic number, because the mean of its divisors is an integer number (36654244380).

Almost surely, 22303332114000 is an apocalyptic number.

2303332114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303332114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932339550400).

2303332114000 is an abundant number, since it is smaller than the sum of its proper divisors (3561346986800).

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

2303332114000 is a wasteful number, since it uses less digits than its factorization.

2303332114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21678 (or 21662 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2303332114000 its reverse (4112333032), we get a palindrome (2307444447032).

The spelling of 2303332114000 in words is "two trillion, three hundred three billion, three hundred thirty-two million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3307 3800 4750 6614 7600 9500 13228 16535 18329 19000 26456 33070 36658 38000 52912 62833 66140 73316 82675 91645 125666 132280 146632 165350 183290 251332 264560 293264 314165 330700 348251 366580 413375 458225 502664 628330 661400 696502 733160 826750 916450 1005328 1256660 1322800 1393004 1466320 1570825 1653500 1741255 1832900 2291125 2513320 2786008 3141650 3307000 3482510 3665800 4582250 5026640 5572016 6283300 6614000 6965020 7331600 7854125 8706275 9164500 12566600 13930040 15708250 17412550 18329000 25133200 27860080 31416500 34825100 36658000 43531375 60614003 62833000 69650200 87062750 121228006 125666000 139300400 174125500 242456012 303070015 348251000 484912024 606140030 696502000 969824048 1151666057 1212280060 1515350075 2303332114 2424560120 3030700150 4606664228 4849120240 5758330285 6061400300 7576750375 9213328456 11516660570 12122800600 15153500750 18426656912 23033321140 24245601200 28791651425 30307001500 46066642280 57583302850 60614003000 92133284560 115166605700 121228006000 143958257125 230333211400 287916514250 460666422800 575833028500 1151666057000 2303332114000