Search a number
-
+
23120220224024 = 237111991433131617
BaseRepresentation
bin1010100000111000110001…
…00000110111101000011000
310000212021022220021221011122
411100130120200313220120
511012300202334132044
6121101141010144412
74604244416226650
oct520343040675030
9100767286257148
1023120220224024
117404259634460
122714a2ab82108
13cb92c5816671
1459d04b825360
152a1623a81dee
hex150718837a18

23120220224024 has 128 divisors (see below), whose sum is σ = 54357181056000. Its totient is φ = 8956289802240.

The previous prime is 23120220224011. The next prime is 23120220224051. The reversal of 23120220224024 is 42042202202132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23120220223984 and 23120220224002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175597064 + ... + 175728680.

It is an arithmetic number, because the mean of its divisors is an integer number (424665477000).

Almost surely, 223120220224024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23120220224024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27178590528000).

23120220224024 is an abundant number, since it is smaller than the sum of its proper divisors (31236960831976).

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

23120220224024 is a wasteful number, since it uses less digits than its factorization.

23120220224024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133273 (or 133269 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 23120220224024 its reverse (42042202202132), we get a palindrome (65162422426156).

The spelling of 23120220224024 in words is "twenty-three trillion, one hundred twenty billion, two hundred twenty million, two hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 199 308 398 616 796 1393 1433 1592 2189 2786 2866 4378 5572 5732 8756 10031 11144 11464 15323 15763 17512 20062 30646 31526 40124 61292 63052 80248 110341 122584 126104 131617 220682 263234 285167 441364 526468 570334 882728 921319 1052936 1140668 1447787 1842638 1996169 2281336 2895574 3136837 3685276 3992338 5791148 6273674 7370552 7984676 10134509 11582296 12547348 15969352 20269018 21957859 25094696 26191783 40538036 43915718 52383566 81076072 87831436 104767132 175662872 183342481 188607161 209534264 288109613 366684962 377214322 576219226 733369924 754428644 1152438452 1320250127 1466739848 1508857288 2016767291 2074678771 2304876904 2640500254 4033534582 4149357542 5281000508 8067069164 8298715084 10562001016 14522751397 16134138328 16597430168 29045502794 37532825039 58091005588 75065650078 116182011176 150131300156 262729775273 300262600312 412861075429 525459550546 825722150858 1050919101092 1651444301716 2101838202184 2890027528003 3302888603432 5780055056006 11560110112012 23120220224024