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20231133104 = 24713103313431
BaseRepresentation
bin10010110101110111…
…101001011110110000
31221012221110001021002
4102311313221132300
5312413132224404
613143303221132
71314226536230
oct226567513660
957187401232
1020231133104
118641a46816
123b074477a8
131ba55428a0
14d9cc8dcc0
157d61c4c1e
hex4b5de97b0

20231133104 has 160 divisors (see below), whose sum is σ = 48980865024. Its totient is φ = 7882168320.

The previous prime is 20231133077. The next prime is 20231133119. The reversal of 20231133104 is 40133113202.

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, 46939769 + ... + 46940199.

Almost surely, 220231133104 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 20231133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24490432512).

20231133104 is an abundant number, since it is smaller than the sum of its proper divisors (28749731920).

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

20231133104 is a wasteful number, since it uses less digits than its factorization.

20231133104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20231133104 its reverse (40133113202), we get a palindrome (60364246306).

The spelling of 20231133104 in words is "twenty billion, two hundred thirty-one million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 103 104 112 182 206 208 313 364 412 431 626 721 728 824 862 1252 1339 1442 1456 1648 1724 2191 2504 2678 2884 3017 3448 4069 4382 5008 5356 5603 5768 6034 6896 8138 8764 9373 10712 11206 11536 12068 16276 17528 18746 21424 22412 24136 28483 32239 32552 35056 37492 39221 44393 44824 48272 56966 64478 65104 74984 78442 88786 89648 113932 128956 134903 149968 156884 177572 225673 227864 257912 269806 310751 313768 355144 419107 451346 455728 515824 539612 577109 621502 627536 710288 838214 902692 944321 1079224 1154218 1243004 1676428 1753739 1805384 1888642 2158448 2308436 2486008 2933749 3352856 3507478 3610768 3777284 4039763 4616872 4972016 5867498 6705712 7014956 7554568 8079526 9233744 11734996 12276173 13895009 14029912 15109136 16159052 23469992 24552346 27790018 28059824 32318104 46939984 49104692 55580036 64636208 97265063 98209384 111160072 180635117 194530126 196418768 222320144 361270234 389060252 722540468 778120504 1264445819 1445080936 1556241008 2528891638 2890161872 5057783276 10115566552 20231133104