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23031031323000 = 2335350871509143
BaseRepresentation
bin1010011110010010101000…
…11100001101100101111000
310000112202010011122022200010
411033021110130031211320
511004320023004314000
6120552150522341520
74564636266124311
oct517112434154570
9100482104568603
1023031031323000
11737a450844aa8
1226bb69995a8a0
13cb0a80a6210c
145989ca541608
1529e153a20d50
hex14f25470d978

23031031323000 has 128 divisors (see below), whose sum is σ = 71870990929920. Its totient is φ = 6140396969600.

The previous prime is 23031031322969. The next prime is 23031031323007. The reversal of 23031031323000 is 32313013032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23031031323007) 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, 14506429 + ... + 16015571.

It is an arithmetic number, because the mean of its divisors is an integer number (561492116640).

Almost surely, 223031031323000 is an apocalyptic number.

23031031323000 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 23031031323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35935495464960).

23031031323000 is an abundant number, since it is smaller than the sum of its proper divisors (48839959606920).

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

23031031323000 is a wasteful number, since it uses less digits than its factorization.

23031031323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514254 (or 1514240 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 23031031323000 its reverse (32313013032), we get a palindrome (23063344336032).

The spelling of 23031031323000 in words is "twenty-three trillion, thirty-one billion, thirty-one million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5087 10174 15261 20348 25435 30522 40696 50870 61044 76305 101740 122088 127175 152610 203480 254350 305220 381525 508700 610440 635875 763050 1017400 1271750 1509143 1526100 1907625 2543500 3018286 3052200 3815250 4527429 5087000 6036572 7545715 7630500 9054858 12073144 15091430 15261000 18109716 22637145 30182860 36219432 37728575 45274290 60365720 75457150 90548580 113185725 150914300 181097160 188642875 226371450 301828600 377285750 452742900 565928625 754571500 905485800 1131857250 1509143000 2263714500 4527429000 7677010441 15354020882 23031031323 30708041764 38385052205 46062062646 61416083528 76770104410 92124125292 115155156615 153540208820 184248250584 191925261025 230310313230 307080417640 383850522050 460620626460 575775783075 767701044100 921241252920 959626305125 1151551566150 1535402088200 1919252610250 2303103132300 2878878915375 3838505220500 4606206264600 5757757830750 7677010441000 11515515661500 23031031323000