Search a number
-
+
23031031230000 = 243254255900347
BaseRepresentation
bin1010011110010010101000…
…11011110110111000110000
310000112202010011110121002200
411033021110123312320300
511004320022443330000
6120552150520343200
74564636265256213
oct517112433667060
9100482104417080
1023031031230000
11737a450791142
1226bb699914b00
13cb0a80a2b9a1
145989ca51977a
1529e153a03500
hex14f2546f6e30

23031031230000 has 150 divisors (see below), whose sum is σ = 80542843230564. Its totient is φ = 6141608304000.

The previous prime is 23031031229993. The next prime is 23031031230007. The reversal of 23031031230000 is 3213013032.

23031031230000 is a `hidden beast` number, since 23 + 0 + 31 + 0 + 312 + 300 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23031031229993) and next prime (23031031230007).

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

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

It is not an unprimeable number, because it can be changed into a prime (23031031230007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 127860174 + ... + 128040173.

Almost surely, 223031031230000 is an apocalyptic number.

23031031230000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23031031230000 is an abundant number, since it is smaller than the sum of its proper divisors (57511812000564).

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

23031031230000 is a wasteful number, since it uses less digits than its factorization.

23031031230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255900381 (or 255900357 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23031031230000 its reverse (3213013032), we get a palindrome (23034244243032).

The spelling of 23031031230000 in words is "twenty-three trillion, thirty-one billion, thirty-one million, two hundred thirty 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 255900347 511800694 767701041 1023601388 1279501735 1535402082 2047202776 2303103123 2559003470 3070804164 3838505205 4094405552 4606206246 5118006940 6141608328 6397508675 7677010410 9212412492 10236013880 11515515615 12283216656 12795017350 15354020820 18424824984 19192526025 20472027760 23031031230 25590034700 30708041640 31987543375 36849649968 38385052050 46062062460 51180069400 57577578075 61416083280 63975086750 76770104100 92124124920 95962630125 102360138800 115155156150 127950173500 153540208200 159937716875 184248249840 191925260250 230310312300 255900347000 287887890375 307080416400 319875433750 383850520500 460620624600 479813150625 511800694000 575775780750 639750867500 767701041000 921241249200 959626301250 1151551561500 1279501735000 1439439451875 1535402082000 1919252602500 2303103123000 2559003470000 2878878903750 3838505205000 4606206246000 5757757807500 7677010410000 11515515615000 23031031230000