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23003133104 = 2473191671321
BaseRepresentation
bin10101011011000101…
…111111010010110000
32012101010110020101202
4111123011333102300
5334102300224404
614322324550332
71443016256000
oct253305772260
965333406352
1023003133104
11983473a406
12455b8523a8
132227918283
1411830a6000
158e972d21e
hex55b17f4b0

23003133104 has 160 divisors (see below), whose sum is σ = 55079808000. Its totient is φ = 9276664320.

The previous prime is 23003133079. The next prime is 23003133121. The reversal of 23003133104 is 40133130032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17412764 + ... + 17414084.

It is an arithmetic number, because the mean of its divisors is an integer number (344248800).

Almost surely, 223003133104 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 23003133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27539904000).

23003133104 is an abundant number, since it is smaller than the sum of its proper divisors (32076674896).

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

23003133104 is a wasteful number, since it uses less digits than its factorization.

23003133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 23003133104 its reverse (40133130032), we get a palindrome (63136263136).

The spelling of 23003133104 in words is "twenty-three billion, three million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 167 196 266 304 334 343 392 532 668 686 784 931 1064 1169 1321 1336 1372 1862 2128 2338 2642 2672 2744 3173 3724 4676 5284 5488 6346 6517 7448 8183 9247 9352 10568 12692 13034 14896 16366 18494 18704 21136 22211 25099 25384 26068 32732 36988 44422 50198 50768 52136 57281 64729 65464 73976 88844 100396 104272 114562 129458 130928 147952 155477 175693 177688 200792 220607 229124 258916 310954 351386 355376 401584 441214 453103 458248 517832 621908 702772 882428 906206 916496 1035664 1088339 1229851 1243816 1405544 1544249 1764856 1812412 2176678 2459702 2487632 2811088 3088498 3529712 3624824 4191533 4353356 4919404 6176996 7249648 8383066 8608957 8706712 9838808 10809743 12353992 16766132 17217914 17413424 19677616 21619486 24707984 29340731 33532264 34435828 43238972 58681462 67064528 68871656 75668201 86477944 117362924 137743312 151336402 172955888 205385117 234725848 302672804 410770234 469451696 605345608 821540468 1210691216 1437695819 1643080936 2875391638 3286161872 5750783276 11501566552 23003133104