Search a number
-
+
21023131332120 = 2335735881408077
BaseRepresentation
bin1001100011110110101000…
…10001100110111000011000
32202102210101011120100112020
410301323110101212320120
510223420333110111440
6112413520533214440
74266604535606661
oct461732421467030
982383334510466
1021023131332120
116775950624135
122436510191420
13b9661b902638
1452974c7bc368
15266cd72003d0
hex131ed4466e18

21023131332120 has 128 divisors (see below), whose sum is σ = 63944386165440. Its totient is φ = 5528417771520.

The previous prime is 21023131332089. The next prime is 21023131332163. The reversal of 21023131332120 is 2123313132012.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 51313522 + ... + 51721598.

Almost surely, 221023131332120 is an apocalyptic number.

21023131332120 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 21023131332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31972193082720).

21023131332120 is an abundant number, since it is smaller than the sum of its proper divisors (42921254833320).

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

21023131332120 is a wasteful number, since it uses less digits than its factorization.

21023131332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414045 (or 414041 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21023131332120 its reverse (2123313132012), we get a palindrome (23146444464132).

The spelling of 21023131332120 in words is "twenty-one trillion, twenty-three billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 5881 8760 11762 17643 23524 29405 35286 47048 58810 70572 88215 117620 141144 176430 235240 352860 408077 429313 705720 816154 858626 1224231 1287939 1632308 1717252 2040385 2146565 2448462 2575878 3264616 3434504 4080770 4293130 4896924 5151756 6121155 6439695 8161540 8586260 9793848 10303512 12242310 12879390 16323080 17172520 24484620 25758780 29789621 48969240 51517560 59579242 89368863 119158484 148948105 178737726 238316968 297896210 357475452 446844315 595792420 714950904 893688630 1191584840 1787377260 2399900837 3574754520 4799801674 7199702511 9599603348 11999504185 14399405022 19199206696 23999008370 28798810044 35998512555 47998016740 57597620088 71997025110 95996033480 143994050220 175192761101 287988100440 350385522202 525578283303 700771044404 875963805505 1051156566606 1401542088808 1751927611010 2102313133212 2627891416515 3503855222020 4204626266424 5255782833030 7007710444040 10511565666060 21023131332120