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23043013120 = 29517601881
BaseRepresentation
bin10101011101011110…
…000111101000000000
32012110220111100111101
4111131132013220000
5334143002404440
614330311424144
71444012244161
oct253536075000
965426440441
1023043013120
1198551a88a6
124571085054
132232c6c30a
1411884c7768
158ecea969a
hex55d787a00

23043013120 has 160 divisors (see below), whose sum is σ = 58663026576. Its totient is φ = 8650752000.

The previous prime is 23043013109. The next prime is 23043013129. The reversal of 23043013120 is 2131034032.

It can be written as a sum of positive squares in 8 ways, for example, as 13526620416 + 9516392704 = 116304^2 + 97552^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (23043013129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26155080 + ... + 26155960.

Almost surely, 223043013120 is an apocalyptic number.

23043013120 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 23043013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29331513288).

23043013120 is an abundant number, since it is smaller than the sum of its proper divisors (35620013456).

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

23043013120 is an equidigital number, since it uses as much as digits as its factorization.

23043013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 23043013120 its reverse (2131034032), we get a palindrome (25174047152).

The spelling of 23043013120 in words is "twenty-three billion, forty-three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 601 640 680 881 1088 1202 1280 1360 1762 2176 2404 2560 2720 3005 3524 4352 4405 4808 5440 6010 7048 8704 8810 9616 10217 10880 12020 14096 14977 17620 19232 20434 21760 24040 28192 29954 35240 38464 40868 43520 48080 51085 56384 59908 70480 74885 76928 81736 96160 102170 112768 119816 140960 149770 153856 163472 192320 204340 225536 239632 281920 299540 307712 326944 384640 408680 451072 479264 529481 563840 599080 653888 769280 817360 958528 1058962 1127680 1198160 1307776 1538560 1634720 1917056 2117924 2255360 2396320 2615552 2647405 3269440 3834112 4235848 4792640 5231104 5294810 6538880 7668224 8471696 9001177 9585280 10589620 13077760 16943392 18002354 19170560 21179240 26155520 33886784 36004708 38341120 42358480 45005885 67773568 72009416 84716960 90011770 135547136 144018832 169433920 180023540 271094272 288037664 338867840 360047080 576075328 677735680 720094160 1152150656 1355471360 1440188320 2304301312 2880376640 4608602624 5760753280 11521506560 23043013120