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20242013102320 = 24515717921134261
BaseRepresentation
bin1001001101000111101100…
…00000000010000011110000
32122200010011200210220212211
410212203312000002003300
510123121120323233240
6111015015154501504
74156302645321442
oct446436600020360
978603150726784
1020242013102320
1164a46537628a9
12232b055294894
13b3aa76769469
144dda0c016492
1525181b8e1bea
hex1268f60020f0

20242013102320 has 160 divisors (see below), whose sum is σ = 47660760141120. Its totient is φ = 7994624901120.

The previous prime is 20242013102317. The next prime is 20242013102327. The reversal of 20242013102320 is 2320131024202.

It is a junction number, because it is equal to n+sod(n) for n = 20242013102291 and 20242013102300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242013102327) 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, 4750528990 + ... + 4750533250.

It is an arithmetic number, because the mean of its divisors is an integer number (297879750882).

Almost surely, 220242013102320 is an apocalyptic number.

20242013102320 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 20242013102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23830380070560).

20242013102320 is an abundant number, since it is smaller than the sum of its proper divisors (27418747038800).

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

20242013102320 is a wasteful number, since it uses less digits than its factorization.

20242013102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 20242013102320 its reverse (2320131024202), we get a palindrome (22562144126522).

The spelling of 20242013102320 in words is "twenty trillion, two hundred forty-two billion, thirteen million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 179 314 358 628 716 785 895 1256 1432 1570 1790 2113 2512 2864 3140 3580 4226 4261 6280 7160 8452 8522 10565 12560 14320 16904 17044 21130 21305 28103 33808 34088 42260 42610 56206 68176 84520 85220 112412 140515 169040 170440 224824 281030 331741 340880 378227 449648 562060 663482 668977 756454 762719 1124120 1326964 1337954 1512908 1525438 1658705 1891135 2248240 2653928 2675908 3025816 3050876 3317410 3344885 3782270 3813595 5307856 5351816 6051632 6101752 6634820 6689770 7564540 7627190 9003493 10703632 12203504 13269640 13379540 15129080 15254380 18006986 26539280 26759080 30258160 30508760 36013972 45017465 53518160 59381639 61017520 72027944 90034930 118763278 119746883 144055888 180069860 237526556 239493766 296908195 360139720 475053112 478987532 593816390 598734415 720279440 950106224 957975064 1187632780 1197468830 1413548401 1611625247 1915950128 2375265560 2394937660 2827096802 3223250494 4750531120 4789875320 5654193604 6446500988 7067742005 8058126235 9579750640 11308387208 12893001976 14135484010 16116252470 22616774416 25786003952 28270968020 32232504940 56541936040 64465009880 113083872080 128930019760 253025163779 506050327558 1012100655116 1265125818895 2024201310232 2530251637790 4048402620464 5060503275580 10121006551160 20242013102320