Search a number
-
+
23323133032020 = 223254110979287851
BaseRepresentation
bin1010100110110010101110…
…00011110011011001010100
310001120200002020112121001200
411103121113003303121110
511024111234024011040
6121334255511552500
74625016656520363
oct523312703633124
9101520066477050
1023323133032020
117482315622398
12274821a08b730
13100249243c263
145a8bba6d37da
152a6a4cac5630
hex1536570f3654

23323133032020 has 144 divisors (see below), whose sum is σ = 72479222262720. Its totient is φ = 6067233216000.

The previous prime is 23323133031971. The next prime is 23323133032039. The reversal of 23323133032020 is 2023033132332.

23323133032020 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 3 + 1 + 330 + 320 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 80881095 + ... + 81168945.

It is an arithmetic number, because the mean of its divisors is an integer number (503327932380).

Almost surely, 223323133032020 is an apocalyptic number.

23323133032020 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 23323133032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36239611131360).

23323133032020 is an abundant number, since it is smaller than the sum of its proper divisors (49156089230700).

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

23323133032020 is a wasteful number, since it uses less digits than its factorization.

23323133032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298886 (or 298881 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 23323133032020 its reverse (2023033132332), we get a palindrome (25346166164352).

The spelling of 23323133032020 in words is "twenty-three trillion, three hundred twenty-three billion, one hundred thirty-three million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 10979 21958 32937 43916 54895 65874 98811 109790 131748 164685 197622 219580 287851 329370 395244 450139 494055 575702 658740 863553 900278 988110 1151404 1350417 1439255 1727106 1800556 1976220 2250695 2590659 2700834 2878510 3454212 4051251 4317765 4501390 5181318 5401668 5757020 6752085 8102502 8635530 9002780 10362636 11801891 12953295 13504170 16205004 17271060 20256255 23603782 25906590 27008340 35405673 40512510 47207564 51813180 59009455 70811346 81025020 106217019 118018910 141622692 177028365 212434038 236037820 354056730 424868076 531085095 708113460 1062170190 2124340380 3160316129 6320632258 9480948387 12641264516 15801580645 18961896774 28442845161 31603161290 37923793548 47404741935 56885690322 63206322580 94809483870 113771380644 129572961289 142214225805 189618967740 259145922578 284428451610 388718883867 518291845156 568856903220 647864806445 777437767734 1166156651601 1295729612890 1554875535468 1943594419335 2332313303202 2591459225780 3887188838670 4664626606404 5830783258005 7774377677340 11661566516010 23323133032020