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1122023023000 = 235311239426787
BaseRepresentation
bin10000010100111101110…
…010001010000110011000
310222021010201021020211021
4100110331302022012120
5121340400343214000
62215241131212224
7144030530222455
oct20247562120630
93867121236737
101122023023000
113a2935822150
121615572a7074
1381a6362b629
143c44031c82c
151e2be12b11a
hex1053dc8a198

1122023023000 has 128 divisors (see below), whose sum is σ = 2876209689600. Its totient is φ = 406300272000.

The previous prime is 1122023022973. The next prime is 1122023023003. The reversal of 1122023023000 is 3203202211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122023023003) by changing a digit.

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, 2415607 + ... + 2842393.

It is an arithmetic number, because the mean of its divisors is an integer number (22470388200).

Almost surely, 21122023023000 is an apocalyptic number.

1122023023000 is a gapful number since it is divisible by the number (10) 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 1122023023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438104844800).

1122023023000 is an abundant number, since it is smaller than the sum of its proper divisors (1754186666600).

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

1122023023000 is a wasteful number, since it uses less digits than its factorization.

1122023023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427058 (or 427044 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1122023023000 its reverse (3203202211), we get a palindrome (1125226225211).

The spelling of 1122023023000 in words is "one trillion, one hundred twenty-two billion, twenty-three million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 239 250 275 440 478 500 550 956 1000 1100 1195 1375 1912 2200 2390 2629 2750 4780 5258 5500 5975 9560 10516 11000 11950 13145 21032 23900 26290 29875 47800 52580 59750 65725 105160 119500 131450 239000 262900 328625 426787 525800 657250 853574 1314500 1707148 2133935 2629000 3414296 4267870 4694657 8535740 9389314 10669675 17071480 18778628 21339350 23473285 37557256 42678700 46946570 53348375 85357400 93893140 102002093 106696750 117366425 187786280 204004186 213393500 234732850 408008372 426787000 469465700 510010465 586832125 816016744 938931400 1020020930 1122023023 1173664250 2040041860 2244046046 2347328500 2550052325 4080083720 4488092092 4694657000 5100104650 5610115115 8976184184 10200209300 11220230230 12750261625 20400418600 22440460460 25500523250 28050575575 44880920920 51001046500 56101151150 102002093000 112202302300 140252877875 224404604600 280505755750 561011511500 1122023023000